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I 5......“101 3-3125...‘ : Ht. ‘.. is! 0 lrhl‘hr o\ Unifi- 33.9... .v at... ‘60:}. .- rifllliru... 5v 1% aisle! . . . x... ,....In..2ow........vzn . num .é . . .z .. ‘xe-1.i.i$c..3. bib»: . ”Thu...“ ui!;i!.3i¢ a? attlynLrtslaonuun. 03.5 a O :1... a: I! «5‘23, OI ¢.vllt \c 1,, I 1..., I1: 3 3... t. 3. 3 tint-0.5!! 2.7...- , 2: LIBRARY Michigan State University fi— This is to certify that the thesis entitled ENABLING TECHNOLOGY FOR THE USE OF R718 IN A VAPOR-COMPRESSION REFRIGERATION CYCLE presented by BRUCE ERNEST LINDBERG, JR. has been accepted towards fulfillment of the requirements for the MS. degree in Mechanical EngineerinL M/éé Major Professor‘s Signature 7/! /07 Date MSU Is an Afllnmflve Action/Equal Opportunity Enployor ----a-l-I-‘-‘-O-I-l-I-n--o-v-u- _.-t-.-.-a-.-g-a-u-------<- PLACE IN RETURN BOX to remove this checkout from your record. TO AVOID FINES return on or before date due. MAY BE RECALLED with earlier due date if requested. DATE DUE DATE DUE DATE DUE 5/08 KziPrq/AccsPresIClRCIDateDue.indd ENABLING TECHNOLOGY FOR THE USE OF R718 IN A VAPOR- COMPRESSION REFRIGERATION CYCLE By Bruce Ernest Lindberg, Jr. A THESIS Submitted to Michigan State University in partial fulfillment of the requirement for the degree of MASTER OF SCIENCE Mechanical Engineering 2009 ABSTRACT ENABLING TECHNOLOGY FOR THE USE OF R718 IN A VAPOR- COMPRESSION REFRIGERATION CYCLE By Bruce Ernest Lindberg, Jr. Water as a refrigerant can be an economical and environmentally conscious alternative to conventional refrigerants. It has a long history of being utilized to cool various things throughout human history and even beyond. From ocean currents and floods to the ice in our drinks, water is perhaps the most natural cooling agent on the planet. In addition to the environmental benefits, the use of water in a vapor compression refrigeration cycle will also be shown to perform thermodynamically very efficient. This, in turn, leads to economical benefits in the realm of power consumption as well as availability. In fact, water as a refrigerant is already being utilized in commercial applications in Europe, Israel, and South Africa. The current state-of-the-art technology used in these countries is discussed. In addition, the challenges that arise from this technology are also discussed as well as the various characteristics that make water as a refrigerant an attractive alternative to conventional refrigerants used in the US. Finally, the enabling, innovative technology that can be shown to address these challenges is conveyed. The primary component of this technology includes a novel compressor with a unique, woven impeller design including its novel manufacturing technique. Like many technologies, the exploitation of this research is not limited to the immediate motivating concept of water as a refrigerant, but may also be utilized in other applications such as power generation, propulsion, venting, and more. To my Loving Grandparents Jim and Gwen Wright & Ernest “Bud” and Marylyn Lindberg iii ACKNOWLEDGEMENTS While conducting this research and compiling my thesis, I have been assisted greatly by many people in one way or another. The efforts to complete this thesis would have been impossible without them, and I would like to take this opportunity to thank them. First, I want to thank my family and friends for their endless support and patience that they have given to me all my life. My relationships with you are the most important part of my life and have allowed me to be the best version of myself that I could be. Thank you for always being there for me through the joyous times and especially the difficult times. I would also like to thank the past and present members of the turbomachinery lab at Michigan State. You have made the friendly working atmosphere and have shown the technical skills that has made our lab what it is known for. For their direct involvement with the goal water as a refrigerant, I would like to first thank Amir Kharazi and his guidance in introducing me to the lab and the research. Next, I would like to thank Ludek Pohorelsky and the graduate students, Nathan Holden, Mark Mouland, Kristen Papuga, Anirban Lahiri, Neelima Reddy, Qubo Li, Jifeng Wang, Mohit Patil, and Blake Gower for their direct involvement. The research has also benefited from the assistance of talented undergraduate researchers who should be named. They are Allen Eyler, Eric Tarkleson, Jakub Mazur, Paul Allen, Darren Fung, Piere Burk, Devesh Chaphalkar, Joel Darin, Jarreau Jackson, and David Kempf. I would also thank Michigan State University, the College of Engineering, and the department of Mechanical Engineering for giving me the opportunity to pursue my academic career here. In addition, I would like to thank our chief financers, California’s EISG program and ASHRAE for funding the research. A special thanks to my committee members Dr. Abraham Engeda and Dr. Alan Haddow for their valuable time and guidance as well. Finally, I must thank my advising professor, Dr. Norbert Miiller for his invaluable guidance and infinite patience while pursuing my education. Dr. Miiller has embraced all of his students and their diverse spectrum of backgrounds, methods, and opinions. He has established a working philosophy that encourages creativity, teamwork, and happiness in an environment where such things come second to results and bottom-line thinking. I am fortunate to have had the opportunity to work with Dr. Muller, and I will forever be grateful for what he has taught me about engineering as well as about life. PREFACE The purpose of this thesis is to present the broad research conducted at Michigan State University on the enabling technology for water as a refrigerant (R718). Over several years the author of this thesis has worked as a part of a collective effort consisting of numerous members working toward a common goal. It is the objective of the author, to present his own specific work on the thesis topic in the perspective of a broad “roadmap” of the technology. Unlike many theses, this work is an overall proof of concept and not an in-depth analysis of a specific area of the technology. Therefore, the intimate details of specific components of this technology are not discussed. Although important to the research, there are no rigorous optimizations of blade design, surface features, specific thermodynamic applications, and the like. This thesis does however identify and discusses several different principles, that when employed together, can be shown to be feasible in accomplishing the immediate motivation of enabling water as a refrigerant. Another unique characteristic that arises from a broad approach to a general research topic is the number of different options to the enabling technology that are explored. This research does not identify and pursue a single solution to a problem with a beginning, middle, and end. This thesis does however explore several options and solutions, all of which have their own inherent advantages and disadvantages. This thesis is organized in individual chapters that are designed to guide the reader throughout the enabling technology. Chapter 1 is an introduction that also outlines the motivation for the technology, followed by Chapter 2 that introduces the refrigeration cycle employed. Subsequent chapters explain the challenges, advantages, and specifics vi R718, plus representative cycle calculations. Chapter 6 summarizes the current state-of- the-art R718 technology and how it addresses the challenges outlined in Chapter 4. Going beyond the state-of—the-art, a more advanced solution is presented that may enable R718 in widespread use. This advanced solution is a compressor design that is described in Chapters 7 and 8. Chapter 10 describes the physical realization of the design. To assist with this, a summary of theoretical and numerical work was added in Chapter 9. This chapter is a short compilation of the work of Anirban Lahiri. In Chapter 12, recommendations of further study are given to convey ideas that have not yet been pursued, as well as re- iterate the importance of an older concept that has not yet been realized - the condensing wave rotor first investigated by former research group member, Amir Kharazi. vii Table of Contents LIST OF TABLES .............................................................................................................. x LIST OF FIGURES ........................................................................................................... xi CHAPTER 1 : INTRODUCTION ..................................................................................... I CHAPTER 2 : BACKGROUND ....................................................................................... 2 The Vapor-Compression Refrigeration Cycle ................................................................ 2 The Ideal Vapor-Compression Refrigeration Cycle ................................................... 3 The Actual Vapor-Compression Refrigeration Cycle ................................................. 4 Refrigerants ..................................................................................................................... 6 CHAPTER 3 : BENEFITS OF WATER AS A REFRIGERANT ..................................... 8 Environmental Benefits .................................................................................................. 8 Economic Benefits .......................................................................................................... 9 CHAPTER 4 : CHALLENGES OF WATER AS A REFRIGERANT ........................... 10 Working Under Vacuum ............................................................................................... 10 Large Volume Flows .................................................................................................... 11 High Pressure Ratios ..................................................................................................... 1 1 Low Reynolds numbers ................................................................................................ 11 CHAPTER 5 : THE CYCLE ........................................................................................... l3 Mapping COP and pressure ratios ................................................................................ 14 Other Factors that impact COP ..................................................................................... 17 Heat Exchangers ....................................................................................................... l7 Polytropic Efficiency ................................................................................................ 21 CHAPTER 6 : CURRENT STATE-OF-THE-ART ........................................................ 23 CHAPTER 7 : ALTERNATIVE COMPRESSOR CONFIGURATION ........................ 28 Axial Flow Compression .............................................................................................. 28 Multi-Stage Compression ............................................................................................. 30 CHAPTER 8 : NOVEL DESIGN FOR MANUFACTURING ....................................... 33 Composite Materials ..................................................................................................... 33 Filament Winding ..................................................................................................... 34 Fiber Material ............................................................................................................ 34 Matrix Material ......................................................................................................... 36 Winding Patterns ........................................................................................................... 4O Advatages of Winding Design ...................................................................................... 44 Driving Scheme ............................................................................................................ 46 Brushless Permanent Magnet Motor ......................................................................... 47 Induction Motor ........................................................................................................ 49 viii CHAPTER 9 : COMPUTATIONAL ANALYSIS OF DESIGN .................................... 51 Pattern Modeling ........................................................................................................... 51 Interfacing for 3-D Modeling .................................................................................... 51 Radius of Curvature around Slots ............................................................................. 51 Fiber Collisions ......................................................................................................... 53 Modeling the Resin ................................................................................................... 54 Structural Analysis ........................................................................................................ 55 Setting up the Simulation .......................................................................................... 55 Simulation Results .................................................................................................... 55 Analysis of Simulation Results ................................................................................. 60 CHAPTER 10 : REALIZATION OF DESIGN ............................................................... 67 Rapid Prototype ............................................................................................................ 67 Hand Winding ............................................................................................................... 67 Automated Winding ...................................................................................................... 71 Modifying the CNC Mill .......................................................................................... 72 Challenge of Fiber Creep .......................................................................................... 75 The Patterns .............................................................................................................. 77 Structural Spin Test ...................................................................................................... 79 High-speed Air-turbine Grinding Tool ..................................................................... 81 Balancing and Vacuum ............................................................................................. 82 RC Racecar Nitro-motor ........................................................................................... 85 High-speed Router Tool ............................................................................................ 86 Integrated Motor ........................................................................................................... 86 Induction Motor ........................................................................................................ 87 Permanent Magnet Motor ......................................................................................... 89 A Brief Cost Analysis ................................................................................................... 90 CHAPTER 11 : CONCLUSION ..................................................................................... 92 CHAPTER 12 : RECOMMENDATIONS FOR FURTHER STUDY ............................ 94 APPENDIX A. EXAMPLE OF CYCLE CALCULATION ............................................ 97 APPENDIX B: EXAMPLE OF VISUAL BASIC CODE USED IN CYCLE ................. 99 APPENDIX C. COMPLETE PATTERN DESIGN TABLE ......................................... 105 REFERENCES ............................................................................................................... I l I LIST OF TABLES Table l. Refrigeration comparison chart [7] ..................................................... 12 Table 2. Properties of Kevlar aramid fiber yarns [25] .......................................... 36 Table 3. Abbreviated table of winding patterns (full table in Appendix C) .................. 41 Table 4. Spin test inquiries and quotes .......................................................... 80 Table 5. Air-turbine spin test trials ............................................................... 85 LIST OF FIGURES Images in this thesis are presented in color. Figure 1. Schematic example ofvapor-compression cycle ................................................ 3 Figure 2. Schematic T-s diagram for the ideal vapor-compression cycle ........................... 4 Figure 3. Schematic T-s diagram for the actual vapor-compression cycle ......................... 5 Figure 4. Schematic example of actual vapor-compression cycle with system components ............................................................................................................................................. 6 Figure 5. COP iso-Iines for R718 with np=0.7 ................................................................ 15 Figure 6. COP iso-Iine comparison between R718 and R134a with np=0.7 .................... 16 Figure 7. Zoomed-in view of COP iso-Iine comparison between R718 and R134a with np=0.7 ............................................................................................................................... 17 Figure 8. Effect of heat exchangers on COPS of R7 I 8 and R134a ................................... 19 Figure 9. COP iso-Iine comparison between R718 and R134a with np=0.7 including heat exchanger effects .............................................................................................................. 20 Figure 10. Zoomed-in view of COP iso-Iine comparison between R718 and R134a with np=0.7 including heat exchanger effects .......................................................................... 20 Figure l I. Zoomed-in view of data point in a COP iso-Iine comparison between R718 and R134a with np=0.7 including heat exchanger effects ................................................ 21 Figure 12. COP iso-Iine comparison between R718 and R134a with np=0.9 including heat exchanger effects ....................................................................................................... 22 Figure 13. Effect of polytropic efficiency on COPS of R718 and R134a including heat exchanger effects .............................................................................................................. 22 Figure 14. Commercialized and installed 100-300 ton R718 chillers developed by ILK Dresden, Germany ............................................................................................................ 23 Figure 15. Schematic illustration of the current state-of-the-art R7 I 8 refrigeration cycle25 Figure 16. Illustration of current state of the art compressor wheels ................................ 26 Figure 17. Current state of the art units at IDE, Israel ...................................................... 27 Figure 18. Diameter comparison between axial and centrifugal impellers ..................... 29 xi Figure 19. Figure 20. Figure 21. resin ......... Figure 22. Compressor stage comparison ......................................................................... 31 Fiber tow being run through a resin bath for wet winding .............................. 38 Automatically woven impeller prototype pattern 6-8 with post-process applied .......................................................................................................................... 39 Automatically woven impeller prototype pattern 8-C with post-process applied resin ................................................................................................................................... 39 Figure 23. Schematic illustration of fiber path in pattem"l skip #" ................................. 42 Figure 24. Schematic illustration of fiber path in pattern "1 skip 2" ................................ 43 Figure 25. Illustrative model of woven impeller pattern 8-B ........................................... 45 Figure 26. Commercially available Super Hornet winder from www.mccleananderson.com ............................................................................................. 46 Figure 27. Schematic, illustrative example of a single-phase permanent magnet motor .47 Figure 28. Schematic, illustrative example of a three-phase permanent magnet motor... 49 Figure 29. Computer model of woven impeller including its support mandrel ................ 52 Figure 30. Magnified detail of a wound impeller model, illustrating the radius of curvature of the fiber ......................................................................................................... 52 Figure 31. Detail showing collision avoidance of the fiber with segments that have previously crossed the cylinder ......................................................................................... 53 Figure 32. An Impeller Model in which all fiber collisions occur at the center of the cylinder ............................................................................................................................. 54 Figure 33. Pattern 7A - Displacement ............................................................................... 56 Figure 34. Pattern 7A - Stress ........................................................................................... 57 Figure 35. Pattern 7B - Displacement ............................................................................... 57 Figure 36. Pattern 7B - Stress ........................................................................................... 58 Figure 37. Pattern 8A - Displacement ............................................................................... 58 Figure 38. Pattern 8A - Stress ........................................................................................... 59 Figure 39. Pattern SB - Displacement ............................................................................... 59 Figure 40. Pattern 88 - Stress ........................................................................................... 60 xii Figure 41. Figure 42. Figure 43. Figure 44. Figure 45. Figure 46. Figure 47. Figure 48. Figure 49. Figure 50. Figure 51. Figure 52. Figure 53. Figure 54. Figure 55. Figure 56. Figure 57. Figure 58. Figure 59. Figure 60. Figure 61. Figure 62. Figure 63. Figure 64. Figure 65. Stress vs. skip for patterns with 6-9 slots ........................................................ 61 Stress vs. skip for patterns with 10-14 slots .................................................... 62 Stress vs. skip for patterns with 15-18 slots .................................................... 63 Effect of fiber thickness for 7 slot pattern ....................................................... 64 Effect of fiber thickness for 9 slot pattern ....................................................... 64 Effect of fiber thickness for 16 slot pattern ..................................................... 65 Rapid prototype of woven impeller with electric stator .................................. 67 Dry hand-wound prototype to be used in integrated motor ............................. 68 Hand winding using dry fiber and resin bath .................................................. 69 Hand winding using pre-preg fiber .................................................................. 69 Finished result of hand winding using resin bath ............................................ 70 Finished result of pre-preg hand winding before heat curing .......................... 70 Photo of CNC winding set-up ......................................................................... 72 Portable CNC winding machine ...................................................................... 73 Winding machine with fiber spool and resin bath added ................................ 74 Photo of winding with leader tool ................................................................... 75 Sandpaper applied to outside of mandrel for added friction ........................... 76 Winding shown with actuator to re-position fibers after fiber creep ............... 77 Automated, wet wound prototype of pattern 8-B ........................................... 78 Winding pattern 8C including a shaft .............................................................. 79 Photo of spin test using air-turbine (front view) ............................................. 81 Photo of spin test using air-turbine (rear view) ............................................... 82 Flexible shaft coupled to wheel (left) and static balancer (right) .................... 83 Airflow prevention chamber for spin test ........................................................ 84 Design illustration of vacuum test chamber .................................................... 84 xiii Figure 66. Test bench for RC racecar nitro motor ............................................................ 86 Figure 67. Prototype woven impeller with integrated motor in an induction machine 88 Figure 68. Woven impeller shown with its corresponding electromagnetic stator ........... 89 Figure 69. Woven impeller with its integrated motor shown still (left) and spinning (right) ........................................................................................................................................... 89 Figure 70. Fume hood for experimentation with magnetic powders (left) and iron- powder/epoxy mixture experiments (right) ...................................................................... 90 xiv CHAPTER I : INTRODUCTION The initial motivation of the research presented in this thesis is for the application of water as a refrigerant (R718) for conventional, residential use in the United States. Water may be the most natural cooling agent on the planet. It is a substance that is essential to preserving life-itself, and as will later be demonstrated, can also be used to preserve our quality of life as well. The need for refrigeration is essential for modern civilization. These needs include, but are not limited to, food and tissue preservation, chemical environments for use in medical and science industries, and air conditioning. Refrigeration can be defined as any heat transfer process that reduces the temperature of an object or location below that of its surroundings [1]. However, the scope of this thesis will be restricted to refrigeration in a vapor compression cycle. For a perspective on the demand for residential air conditioning, as well as its impact on the environment and economy, a look at the state of California makes logical sense. Perhaps no state in the US. is more recognized as being at the forefront of the energy battle than California. The rolling black-outs of 2000 and 2001, economically- crippling energy prices, and increasing demand for air conditioning prompt new innovation in the area of air conditioning and refrigeration. Already in 1997, 96% of the households in California used electric air-conditioning and 30% of peak electricity usage in California is due to air-conditioning [2]. CHAPTER 2 : BACKGROUND The Vapor-Compression Refrigeration Cycle Refrigerators, heat pumps, and air conditioning systems operate on cycles called refrigeration cycles. There are many types of refrigeration cycles. Some examples are gas refrigeration, cascade refrigeration, absorption refrigeration, and thermoelectric refrigeration cycles. However, the most frequently used refrigeration cycle is the vapor- compression refrigeration cycle [3]. In this refrigeration cycle, the working fluid or heat transferring medium is called the refrigerant. This refrigerant is throttled through four major components of a vapor compression refrigeration cycle and uses the process of latent heat rejection and absorption during phase changes. The four components are: I. Compressor- where the refrigerant in vapor form is compressed and work-energy is inputted to the cycle 2. Condenser- where heat-energy is rejected to the environment as the refrigerant is condensed 3. Expansion valve- where the cycle is throttled by expanding the refrigerant 4. Evaporator- where latent heat is absorbed by the refrigerant as it is evaporated This cycle with its components is shown schematically in Figure l. A common measure of how a cycle like this performs is a dimensionless quantity known as its Coefficient of Performance (COP). COP is defined mathematically as Qin (l) COP = — Win where Qom is the heat absorbed by the evaporator in the cycle and Win is the work input to the cycle. These two quantities may also be expressed on a rate basis. Essentially, the COP is the amount of cooling energy per unit of compressor work energy [I]. IQ... condenser < A \ compressor expansion valve > eva porator lg. m Figure 1. Schematic example of vapor-compression cycle The Ideal Vapor-Compression Refrigeration Cycle For simplicity in introducing the vapor-compression refrigeration cycle, an ideal cycle is shown in a T-s diagram in Figure 2. The characteristics of an ideal cycle are: l. Isentropic compression (I-2) 2. Constant pressure heat rejection and complete condensation (2-3) 3. Isentropic expansion through a throttling expansion valve (3-4) 4. Constant pressure heat absorption and complete evaporation (4-1) TA ‘41! Figure 2. Schematic T-s diagram for the ideal vapor-compression cycle Although this ideal cycle makes for easy property calculations, it is not practical for describing the cycles that actually occur in the vapor compression refrigeration process. For this, irreversibilities such as heat and pressure losses, as well as super- heating and sub-cooling must be taken into account. The Actual Vapor-Compression Refrigeration Cycle The actual cycle differs from the ideal one in many ways. A T-s diagram of this cycle is shown in Figure 3. Numbered points on this figure are also schematically shown in a cycle with system components in Figure 4. Most of the irreversibilities that occur in this cycle can be attributed to pressure losses due to fluid friction as well as heat transfer between system components. The ideal case described above included isentropic compression from 1-2. This involves a compression process that is internally reversible 4 and adiabatic. However in reality, compression results in an increase in entropy shown in process 1-2 in Figure 3. Heat losses during compression can also result in a decrease in entropy as shown in process 1-2’ in Figure 3. This non-adiabatic compression is favorable in that it decreases the amount of overall compressor work needed. It is therefore favorable to cool the compression in an actual cycle. In an ideal cycle the refrigerant is evaporated and condensed to exactly saturated vapor and saturated liquid. In reality however, it is difficult to control the state of the refrigerant so precisely. To ensure complete vaporization before compressing, the refrigerant is slightly superheated in the evaporator before entering the compressor. Likewise, to ensure complete condensation, the refrigerant is also slightly subcooled. I2 TA V CI: Figure 3. Schematic T-s diagram for the actual vapor-compression cycle 4 to... 3 1 condenser < A —_ \——2 compressor or expansion valve > evaporator I , 7 {Q I l Figure 4. Schematic example of actual vapor-compression cycle with system components Refrigerants A refrigerant, in the case of a vapor compression cycle, can be defined as the medium that absorbs and releases thermal energy to and from two dissimilar environments [I]. This refrigerant should possess certain chemical, physical, and thermodynamic properties that render it safe, effective, and economical to use. More specifically the refrigerant should be nontoxic and nonflammable in its pure state or when mixed with air. In addition, the refrigerant should not react unfavorably with system components such as construction materials, lubricating oil, and moisture in the system. Lastly, but not in importance, a refrigerant should be economically attractive as well as environmentally safe, not only in its acquisition, manufacture, and transport, but also its inevitable disposal. While many substances possess one or more of these characteristics, several do not possess all of them, hindering the substance’s applicability. For instance, in the early days of mechanical refrigeration, ammonia (R717) was widely used. Although ammonia is a natural substance, has a low boiling point at atmospheric pressure, and has thermally shown to operate very well in a refrigeration cycle, it is very toxic. This makes this particular refrigerant extremely dangerous and limits its applicability to highly controlled commercial applications. In the late 1920’s synthetic refrigerants were developed that were safe, non-toxic, and non-flammable. These compounds are known as chlorofluorocarbons (CFC’s). In the 1970’s it was shown that CFC’s depleted the ozone layer and in 1987 the Montreal Protocol was signed and the manufacture of CFC’s was phased out by 1996 [1]. Another synthetic refrigerant, 1,l,l,2-tetrafluorethane (R134a), is one of the leading candidates to replace these CFC refrigerants [I]. R134a is non- flammable, non-explosive, non-toxic, and has no ozone depletion potential (ODP). However, it does have some global warming potential (GWP) because of a small green- house effect. CHAPTER 3 : BENEFITS OF WATER AS A REFRIGERANT Often for simplicity’s sake, several textbooks introduce the refrigeration cycle to novice thermodynamics students by using water as the working refrigerant. However, as the lesson continues, students are reminded of water’s high saturation temperature at ambient pressures, as well as its low volumetric heat capacity. The lesson then abruptly abandons the use of water and subsides to synthetic refrigerants like R12 and R134a. Environmental Benefits To offset the continuous threat of global warming and ozone depletion, regulations and bans of traditional refrigerants have been handed down by governments and agencies, namely the Montreal Protocol signed by 57 industrialized countries in 1987. Because of these regulations, the investigations of natural refrigerants such as water are becoming more necessary. Water being completely inert to the environment has many environmental advantages over traditional refrigerants. It has no global warming potential (GWP = 0) and no ozone depletion potential (ODP = 0). In addition, it is non-toxic, and non-flammable. Water can easily be disposed of and needs no manufacturing or extensive refining. While traditional refrigerants meet today’s restrictions and standards, it is almost inevitable that these restrictions are bound to change. Water can be guaranteed not to fall under future restrictions. Also included with the economic benefits, is the thermodynamic efficiency of a R718 cycle. These efficiency gains will be discussed in greater detail later, but undoubtedly reduce the needed energy to operate a chiller using water as a refrigerant. Economic Benefits In addition to its many environmental benefits, R718 also includes several economical advantages as well. The first and probably most obvious advantage is the availability of R718. Water covers roughly two thirds of the earth’s surface. Special treatments are not needed. Municipal tap water can be used, as well as filtered river or stream water. Treated waste water is another possibility. Since the refrigerant is so readily available, there would be no need to warehouse bulky refrigerant containers. The gross cost of the refrigerant would be less since water needs no manufacturing. R718 also reduces safety precautions by working with low pressure differences (less than 1 atm). This may cut down on insurance premiums. When discussing economic benefits, it is most important to include the energy efficiency of R718 cycles. Therrnodynamically, water can be shown to achieve a high coefficient of performance (COP). In studies, the COP is shown to be 20-30% higher than conventional refrigerants [4]. Unlike other refrigerants, R718 can be used in direct heat exchangers, increasing the efficiency of the cycle even more. This technology will be discussed later in Chapter 5. CHAPTER 4 : CHALLENGES OF WATER AS A REFRIGERANT Just as R718 can be shown to be beneficial as a refrigerant, there are also several key characteristics that complicate its immediate application in refrigeration cycle, and are outlined as follows: Working Under Vacuum As explained in Chapter 2 of this thesis, the vapor compression cycle works by absorbing heat from a cold space during a phase change. That is to say, as heat is absorbed from the cold space to the evaporator, the refrigerant then evaporates or boils. A novice student of elementary science can tell you that at standard pressure, water evaporates at 100°C. However, as pressure decreases, water evaporates at lower temperatures. Since most applications require heat removal at temperatures well below ambient temperatures, cycles using R718 must he ran at low pressures under a coarse vacuum. Working under vacuum comes with its own inherent challenges. A pump must evacuate piping in the cycle and sealing must be employed to maintain the low pressure. Challenges in sealing may occur at joints and couplings within the cycle. Many systems are pressurized and the challenge is to contain the contents from escaping into the ambient environment. However under vacuum, it is a task to keep the ambient environment from contaminating the system. In addition, most mechanical and electrical components are designed for operation under ambient pressure. Their immediate application may need to be modified for use under ultra-low pressure. 10 Large Volume Flows Since the cycle works under vacuum pressure, the volumetric cooling capacity of water vapor is very low. Hence a cycle using R718 needs a larger volume flow of about 200 times higher than traditional refrigerants. That being said, the majority of turbo compressors for refrigeration are centrifugal or mixed-flow, and although capable of achieving greater pressure ratios per stage, these types of compressors are not suited for high volume flows. High Pressure Ratios Due to the thermodynamic properties of water vapor, its application in a refrigeration cycle requires a high pressure ratio to be achieved. This pressure ratio is about double, or triple that of a cycle using traditional refrigerants like R134a or R12. A comparison of properties like this can be shown in Table 1 below. It should be noted that calculations in this table were done using an evaporator temperature of 10°C and a condenser temperature of 50°C. Low Reynolds numbers Due to the high pressure ratio required, turbo impellers need to have approximately two to four times higher circumferential speed, depending on the impeller design. The speed of sound is approximately 2.5 times higher, so material limitations are of more concern than Mach number restrictions. Reynolds numbers are like 300 times lower and the specific work transmission per unit mass has to be around 15 times higher. [5], [6], [7]- ll Table 1. Refrigeration comparison chart [7] Capacity Pressure Compressor Refrigerant ODP GWP [kJ/kg] Ratio Temp out |°C] R718 0 0 2309.0 10.0 223 R717 0 0 102.9 3.03 99 R12 1 8500 106.5 2.88 55 R22 0.034 1900 145.6 2.85 67 R290 0 20 250.1 2.66 54 R134a 0 1600 131.9 3.18 62 R152a 0 190 228.0 3.15 52 12 CHAPTER 5 : THE CYCLE To describe the characteristics of water used in a vapor compression cycle, as well as to demonstrate the performance of R718, a cycle analysis was conducted. When describing any vapor compression cycle calculation, it is important to first disclose the assumptions made. To make the calculations as straightforward as possible, several simplifying assumptions were made, and are as follows: 1. Compression is done in a single stage. 2. There is no superheating or sub-cooling. 3. There are no pressure losses in the piping and no energy transfer to the environment. The cycle was calculated with Microsofi Excel using an assumed polytropic efficiency. Properties such as temperature, pressure, enthalpy, and entropy, were calculated at each of four different stages in the refrigeration cycle. These stages were the evaporator, compressor, condenser, and expansion valve. Using the pressure ratio obtained, from these calculations, an isentropic efficiency was calculated based on the formula Ila - 1 ”isentropic = ( a ) (2) n Tlpolytropic ... 1 Here npolympic is the assumed polytropic efficiency, [1 is the pressure ratio, and a is the isentropic exponent or 13 a = (3) K where K is the ratio of specific heats. CP K = — 4 Cu ( ) With the new calculated isentropic efficiency, properties were iteratively re-calculated to reflect better accuracy. Using these properties, the cooling load and compressor work were calculated and thus the COP could be calculated by equation (1). Mapping COP and pressure ratios As with calculating the COP of any refrigeration cycle, the COP varies with properties and cycle characteristics. Two important properties that affect COP are the evaporator temperature as well as the condenser temperature. This is intuitive since one would expect a cycle to be more efficient the less cold the “cold space” needed to be. By the same logic, one would also expect better efficiency the colder the ambient space the heat was rejected to was. Since the evaporator and condenser temperatures are perhaps the first criteria when designing a refrigeration cycle, COP values were plotted with respect to these criteria. Plotting COP versus evaporator temperature alone fails to convey the effects of condenser temperature on COP. Likewise, plotting COP versus condenser temperature alone doesn’t describe the effects of the evaporator temperature on COP. To essentially describe three parameters simultaneously, COP iso-lines were plotted for evaporator 14 temperature versus temperature lift from condenser to evaporator. This was done by using a Visual Basic code to locate combinations of evaporator temperature and temperature lift that yield a particular COP value. Integer COP values from 2 to 10 were used and iso-lines were mapped. A base line plot of this using R718 as the refrigerant is shown in Figure 5. Here one can see the large operating range of R718 as well as the general trend for decreasing COPs with increasing temperature lift. The vertical yellow line represents the optimum operating temperatures to maximize COP. These optimal temperatures indicate high efficiencies for R718 in the case of using a heat pump. F . . ,, Ls --- -._. - --- - -I,-_-L-- ~-— -~ ___- - 110 ~ 100 r 90 - 80 i 70 Tllft ‘50 ‘40 x7 ‘8 ‘9 . 30 W 10 i i " 20 I i 10 L 0 -20 0 20 40 60 80 100 120 140 160 180 200 220 240 260 280 300 To Figure 5. COP iso-lines for R718 with np=0.7 To compare COP values of R718 to other conventional refrigerants, COP iso-lines can be mapped on the same plot such as in Figure 6. In this case, R134a is being compared. It 15 is worth noting the operating temperatures most favorable to R134a as well. The intersection of each refrigerant’s iso-lines is marked with a green dashed line. From this, it is shown that for operating temperatures on this line, R134a and R718 have the same COP. Furthermore, one can make the valid assumption that R718 has a higher COP value for operating temperatures to the right of this intersection line. To accentuate this range of operating temperatures favorable to R718, Figure 7 shows a plot zoomed in on this range. 110 R7—8 ‘ 90 2 ‘ ‘ 80 1 l 1 - vo ‘ 3 ‘ 60 I A ‘ _ 20 l:— \ - 1o . T lift it I 1 1 1 1 1 l 1 1 ll 1:11 1 o l L AL I I I I I I I I I I I I I I I I o -90 -7o -50 -30 -10 10 30 50 70 90 110 130150170190 210 230 250 270 Te Figure 6. COP iso-line comparison between R718 and R134a with np=0.7 7 7 I '7 ’ ’ " 3° 2 ‘ 70 ‘ 60 3 \\ \ ‘ 50 a \ 4 ': \ ’- \ 40 \ L‘ 5 M \ ‘ 7 . “J ‘ 3 ”4 I I I I I I I I I I I I I I ‘ 1o -5 0 5 10 15 20 25 30 35 40 45 50 55 60 55 70 75 80 Te Figure 7. Zoomed-in view of COP iso-line comparison between R718 and R134a with np=0.7 Other Factors that impact COP Heat Exchangers By Figure 7, it can be argued that the operating temperatures where R718 has a higher COP than R134a is quite limited. However, an important characteristic of the two cycles was neglected. One of the biggest advantages of using R718 is that it may be used in direct heat exchangers. This means that there doesn’t need to be such a substantial temperature difference to drive the heat transfer in the evaporator and condenser. The resulting effects are a larger temperature lift needed for the same cooling load. This, in turn, decreases the COP. In the case of R134a, this decrease in COP is much more than for the case using R718. A conservative assumption of the temperature difference needed in R134a heat exchangers would be 5°C. Conversely, R718 would only need a 1°C temperature difference. A demonstration of the effect the different heat exchangers have on their respective COPS can be Shown in Figure 8 Here a COP of 5 is used, and one can see the intersection point go from an evaporator temperature of about 35°C to a much lower temperature below R718’s operating range. Figure 8 also shows the COP 5 line of R134a dropping well below the R718 line indicating a better COP for R718 at these conditions. A new, more accurate plot of all the COP iso-lines can now be observed in Figure 9. This Shows a much larger range of operating temperatures where R718 has a higher COP when compared to the graph in Figure 6. Like Figure 7, Figure 10 shows a zoomed view of these optimal temperatures, but with the heat exchanger effects taken into account. From this, one can assess the fact that with these conditions, R718 has a higher COP than R134a for evaporator temperatures greater than -1°C and for any temperature lift. Another interesting observation is that from this plot it can be deduced that for the particular case of a 12°C evaporator temperature and a 20°C temperature lift, the COP of R718 is 10 and the COP of R134a is 7. This point is demonstrated by the shaded oval in Figure I I. 18 I — Heat exchangers neglected — Heat exchangers included / \ R718 COP drop R134a COP drop 5 15 25 35 Te 45 55 65 75 80 70 60 50 30 20 T lift Figure 8. Effect of heat exchangers on COPs of R718 and R134a *‘ * ' ‘ r r , ' , ' r r' "‘ 110 a 100 ‘ 90 - 80 ‘ 70 ‘60 T lift <50 -40 ‘30 [20 41o l I l I l I I r I I 1 I L 1 EL J I o 400 -80 -60 40 -20 0 20 40 60 80 100 120 140 160 180 200 220 240 260 280 300 Te Figure 9. COP lso-line comparison between R718 and R134a with np=0.7 including heat exchanger effects , , , , a — so 70 3 so \\ . ____- 6 Tlift / ’— q 30 ———’ “‘.~ 3 ’J—L.‘ . — " *— 7 “ _ ,!————.-_’—— 1o 20 _._.—————— \ \ I I I 1 1o 6 1 5 35 55 75 Te Figure 10. Zoomed-ln View of COP iso-line comparison between R718 and R134a with np=0.7 including heat exchanger effects 20 l I 1 - 24 i 7 #» I l ’ ‘ i 8., \j '5‘ I i l- g__ 16 10 ‘ 8 I L J 0 -5 0 5 10 Te 15 20 25 30 35 Figure 11. Zoomed-in view of data point in a COP iso-line comparison between R718 and R1343 with np=0.7 including heat exchanger effects Polytropic Efficiency As stated before, the cycle was calculated using an assumed polytropic efficiency. This assumption in itself can have a significant effect on the COP iso-lines. To demonstrate this, COP iso-lines were mapped on temperature ranges as before, except now with an assumed polytropic efficiency of 0.9. This plot can be shown in Figure 12. Again, this plot takes into account the heat exchangers as before. It is evident by Figure 12 that the COP iso-lines for R718 and R134a have both increased. However, as shown in Figure 13, R718 iso-lines have comparatively increased more. 21 T lift 3¢¢~I a v. I b O i I | l l 1 1 1 l I L 1 I_ g—I I r I I o -100 -80 -60 40 -20 0 20 40 60 80 100 120 140 160 180 200 220 240 260 To Figure 12. COP iso-line comparison between R718 and R134a with np=0.9 including heat exchanger effects I 5 L L. 7 ,7 I - I ‘ —Po|ytropic Efficiency of 0.9 i i 1 . 60 — Poltytropic Efficiency of 0.7 , '50 -40 Tllft '30 20 . y , r , . 0 -50 -30 -10 10 30 50 70 90 110 130 150 170 190 210 230 250 To Figure 13. Effect of polytropic efficiency on COP: of R718 and R134a including heat exchanger effects 22 CHAPTER 6 : CURRENT STATE-OF-THE—ART Although the above calculations in the previous chapter convey R718 as a viable alternative to traditional refrigerants, the challenges outlined in Chapter 2 must still be addressed. To address the challenges of using water in a compression refrigeration cycle, innovative technology is necessary. The simple application of conventional refrigeration technology and compressors has repeatedly been found to be neither economic nor competitive in the US market [5], [6]. However, R718 units have been installed outside of the US. in countries like Germany, Israel, and South Africa as Shown in Figure 14. Still, typically the compressors and complete units are deemed to be too expensive, too big, and unable to scale down to smaller capacities below 100 ton. CargoLux , ' U N .‘u‘fwr . 717 Figure 14. Commercialized and installed 100-300 ton R718 chillers developed by ILK Dresden, Germany 23 The most important component of 3 R718 chiller is the compressor. There are world-wide only two companies that have developed and commercialized R718 compressors. The first one is IDE Technologies Ltd., Israel [8] and the second. one is at Institut fiir Luft- und Kéiltetechnik (ILK) Dresden gGmbH (Institute of Air and Refrigeration), Germany where the Associate Professor Dr. Norbert Miiller has been a key engineer in the development effort [9], [10], [11]. Derived from desalination, the larger IDE compressors have also been used for designs by Danish Technological Institute (DTI) and the Sabroe Refrigeration Company in Denmark [12] and by INTEGRAL, Germany [13]. The IDE centrifugal compressors have been developed into two products called ECOVIM (Vacuum Ice Machine) [14] and ECO-CHILLER [15]. Both the IDE and the ILK compressors are of centrifugal diagonal-flow (axial inlet and radial outlet) type with stationary inlet guide vanes, and typically installed in a two stage configuration as shown schematically in Figure 15. The compressor wheels are approximately l-2 meters in diameter. With a radial diffuser, the compressor diameter reaches approximately 2-4 meters. The lower values are for the ILK compressors and the larger values for the IDE compressors. Capacities of these chillers are 100 ton and 300 ton respectively. It is interesting to note that both the lower and higher capacity chillers have almost the same in technology and price, indicating that these chillers’ size and cost do not scale with capacity [16]. 24 throttling valve . . I I 1‘ a . . I ® intercop‘l’r I I I I I I I I O I m:- [ZA 0 0 '0'“ condenser a e\ ‘\. Cooling tower L t n; = throttling valve ressor stage 2. Figure 15. Schematic illustration of the current state-of-the-art R718 refrigeration cycle The compressor wheels are lightweight constructions with extremely thin blades made of titanium or composite material sheets as illustrated in Figure 16. While energy savings of 20% have been Shown with this technology [17], the fluid mechanics design is still much compromised for stability. This indicates the potential for an even more efficient design. The current state of the art impellers are very unique in that they are not milled like usual high-performance impellers. Some of the notable features of these impellers can be shown in Figure 16 and are outlined as follows: 0 The blades of these wheels are flat and straight, not aerodynamically curved. 0 Same is true for the hub contour that even shows cut backs between the blades. 0 Technology does not allow for an outer shroud introducing a tip clearance with leakage flow. 0 These state-of-the-art compressors work with stationary guide vanes (IGV) and guide elements in the diffuser that both limit the operating range and introduce friction surfaces that do not transmit compression work. 25 The features listed above have limited the achieved compression efficiency to about 60 to 70 percent. The wheel assemblies are built from multiple parts in a laborious process [18], [19], [20]. The design is a major reason for the high cost that does not scale with size, making only larger units greater than 100 ton marketable, and this often only in protected markets. mechanically critical region Figure 16. Illustration of current state of the art compressor wheels Both the IDE and ILK compressors work with a direct electric motor drive. However, two different approaches have been followed. IDE has placed the motor outside of the unit under atmospheric conditions as shown in Figure 17. This addresses the challenge of sealing the shaft. ILK has placed the electric motor drive inside the unit under water vapor atmosphere and vacuum, having resolved the greater challenges of electric insulation, heat removal, and bearings. 26 Figure 17. Current state of the art units at IDE, Israel There has also been the concept of using multistage axial compressors in the HydroFrioTM chiller introduced by INTEGRAL [13], [21]. These compressors have been derived from gas turbine compressors and apparently resulted in too high costs for the HVAC&R market and have not been commercialized. 27 CHAPTER 7 : ALTERNATIVE COMPRESSOR CONFIGURATION Axial Flow Compression Turbo compressors are classified as either axial-flow or radial (centrifugal flow) compressors. Traditionally, the centrifugal compressor has been the more rugged and lower cost-type, while the axial-flow compressor has offered better efficiency. These differences, however, have become much less Significant in recent years due to advances in technology, particularly with regard to efficiency [22]. Flow streamlines through axial impellers have a radius that is constant or nearly constant, while in centrifugal impellers, the streamlines undergo a substantial increase in radius. For this reason, centrifugal compressors are able to achieve a higher pressure ratio in a single stage. This can be described mathematically with Euler’s equation for turbomachinery shown in equation (5). e = uzcuz — ulcuz . (5) Here 6 is the specific (per unit mass) shaft work done on the fluid, uz and u. are the tangential velocity of the impeller at outlet and inlet respectively, and cu; and out are the tangential component of the fluid velocity at outlet and inlet. From this equation, it is obvious that a change in radius leads to a change in tangential velocities and in turn, will lead to a larger work transmission. Although centrifugal compressors are traditionally capable of achieving higher pressure ratios in a single stage, axial compressors can achieve significantly greater mass flow rate per unit frontal area [22]. Also Since the radius doesn’t increase substantially, 28 axial impellers are much smaller in diameter than centrifugal compressors. An example of this size difference is Shown in Figure 18. Here it is Shown that the diameter of an axial compressor is one fourth the diameter of a centrifugal compressor with stationary guide vanes. Since area increases with the square of diameter, centrifugal compressors can take up to 16 times the area than axial compressors. Current state of the art industrial water vapor chillers in use in Europe employ centrifugal compressors with typical diameters of around 1 m. By comparison a chiller using an axial flow compressor yielding a similar cooling capacity would have a diameter of around 0.5 m. In a general sense, unit costs reduce with size and become more applicable in cases with tight space constraints. .1 Counter rotating Axial Radial with guide vanes (blue) 4x diameter of axial with same capacity C1 1 Figure 18. Diameter comparison between axial and centrifugal impellers 29 Multi-Stage Compression To achieve the necessary pressure ratios, efficiencies, and Mach number constraints, water vapor must be compressed in multiple stages [23]. In simulations, when the desired pressure ratios are put in place with a single stage compressor, the results are unreasonable. For example, the tip speeds are much too large for most modem equipment. Velocities over 500 m/s are not achievable by most of the widely available materials. The forces placed on the compressor itself, at this velocity, would cause high stresses, this causes the components within the compressor to fatigue quickly or yield. Several configurations are possible to achieve the needed work transmission. These may or may not include stationary guide vanes. An illustration of some possible configurations can be shown in Figure 19. When using water vapor, the compressor exit temperatures tend to be higher than more commonly used refrigerants, and with multiple stages, this temperature change becomes amplified. Multi-stage compression also allows for inter-cooling. Inter-cooling between stages reduces the required work input to the compressor [3], [23]. This, in turn, increases the overall efficiency of the compressor. It also allows for the temperature of the water vapor to be decreased in between stages; decreasing the overall compression temperature changes. Flash inter-cooling is one of the ways to effectively achieve compression temperature adjustment. With this type of cooling, liquid water is injected into the fluid exiting the compressor. The water is to then to be evaporated by the superheated vapor, bringing the fluid to the saturation temperature. The negative effects are that the mass flow increases between each of the stages [6]. 30 1 x work transmission 2 x work transmission 3 x work transmission i> (b) i (c) \\\\\\\\\ «- 1 gm ~ ///////// i -' /////////. - my - //////// - (a) Figure 19. Compressor stage comparison As explained in Euler’s Equation (5), the work transfer comes from the change in the tangential component of the fluid velocity. Because of this, axial compressors often employ the use of stationary guide vanes to add or remove a pre-swirl from the rotating impellers. An example of this configuration can be shown in Figure 19(a). Here the guide vanes in blue introduce a pre-swirl before the impeller, and then remove the swirl after the impeller. There are several reasons for this, an important one is symmetry. If the dynamics of the fluid remain the same throughout each stage of compression, the hardware for each of the compressor stages can be designed the same. The impellers being of the same material, rotating in the same direction, and at the same speed also allows all them to be fixed to the same shaft. This in turn increases the manufacturability of the entire compressor. Regrettably, with the ease of manufacturability also come difficulties in size constraints. The additional guide vanes between stages require the overall compressor to be much larger to accommodate the additional hardware. However by counter rotating the impellers, these guide vanes can be eliminated. Eliminating these guide vanes makes the compressor smaller and more adaptable to various applications. A direct correlation can also be made between a decrease in price and size reduction. In addition to reduced prices, the hydraulic losses caused by the guide vanes are also eliminated. Removing the 31 need for guide vanes is done by counter-rotating the impellers. This process utilizes the swirl after an impeller stage to gain additional work transmission in the next stage. In equation (5) the work transmission comes from the difference of the tangential velocities of the fluid at inlet and outlet. 1f the velocities at inlet and outlet are in opposite directions, twice as much work can be transferred to the fluid in a single stage, and thus more compression of the vapor. This is done by rotating the impeller in the opposite direction of the preceding impeller. A schematic example of counter rotation can be shown in (b) and (0). Here one can observe the additional compression for the same size compared with the configuration in (a). This is also known as an increase in power density (work transferred per unit volume). 32 CHAPTER 8 : NOVEL DESIGN FOR MANUFACTURING Because of the low density of gases, the majority of the forces seen by the impeller are not from the gas passing through the blades, but forces in its radial direction due to its own inherent mass rotating at high speeds. Because of this, the impeller must be of lightweight and strong material. The impeller being lightweight reduces safety issues that arise from using heavy materials as well as reduces the forces inflicted on the bearings. Lightweight materials also reduce the need for extensive balancing. As stated in Chapter 6, conventional water vapor compressors, have impellers made from titanium or formed composite Sheets. Although strong and lightweight, they are made component by component by hand and are time consuming and extremely expensive to manufacture or prototype. To address this issue, new technology being investigated at Michigan State University involves the use of a wound or woven composite impeller. Composite Materials In short, a composite material is essentially any material that is made up of high strength fibers arranged in a matrix. The benefits of composite materials are widely known and vast. Most notably are their high strength and low weight which, as noted above, make composite materials particularly attractive for impellers for vapor compression. Composite materials are also anisotropic which allows for the fibers to be arranged in the direction of the highest force. Interestingly, composite materials can be both man-made substances as well and natural materials. Examples of naturally occurring composite materials are wood or bone, whereas examples of man-made composites can be concrete or fiberglass moldings for boats. 33 Filament Winding Filament winding techniques has been well investigated over the last thirty years [24], [25]. In a simple description of the process, reinforcement fiber tows in bundle form are fed trough a wet bath wherein they are impregnated with resin, and are then uniformly and regularly wound onto a rotating mandrel. Once the desired architecture and lay up thickness are achieved, the wheel can be cured and the mandrel removed. This technology is typically used for the fabrication of parts that are axial-symmetric, such as pipes, containers, pressure vessels, rocket motor cases, and other tubular structures [24], [25]. Depending on the desired properties of the product, winding patterns such as hoop, helical, and polar can be developed. Various curing system such as drying in the oven, through hot oil, heat by lamps, steam, autoclave and microwave are possible for different applications. The principal advantages of filament winding are its low labor cost and its reproducibility. This is due to robotic motion via computer coded design. Thus, one can apply this filament winding technology to manufacture composite impellers at a low labor cost. In addition, various weaving patterns can also be achieved. These patterns will be discussed in the following section. Another advantage of filament winding is the ability to interweave motor components. This could be induction wires or magnetic materials dispersed within the matrix. Motor schemes like this will also be discussed in greater detail later. Fiber Material In recent years, the fiber material that has perhaps been given the most attention is carbon fiber. This is undoubtedly because of its low density (about 2.268 g/cm3) and 34 high strength (up to 1000 GPa for single crystal graphite [25]. Certainly properties like these warrant its widespread use in applications such as aerospace, sporting equipment, and auto racing. However, several other fibers exist as well, each with their own intrinsic properties associated with them. Some examples include glass, boron, and organic fibers. The broad vision of this research undoubtedly includes the use of carbon fiber for the characteristics mentioned above. Initial experience has lead to the experimentation with the aramid fiber, Kevlar®. Kevlar®, based on the chemical poly(p-phenylene terephthalamide) was created in 1965 by DuPontTM originally for the replacement in steel in radial tires, but has been made most famous by its use in bullet-proof fabrics. Although its modulus is less than that of carbon fiber, Kevlar® has a lower density and has proven to be less brittle, which make it useful in a variety of applications. In the case of winding turbo impellers, these properties are favorable since impellers need to be light-weight, and also since patterns sometimes have sharp turns where fibers could break or fray. In addition to these properties, Kevlar® also has a small negative thermal coefficient of expansion that may counter dynamic deflections with thermal contractions at high compressor temperatures. Kevlar® also has good vibration damping characteristics. Composites of Kevlar®/epoxy show about 5 times the vibration dissipation than glass/epoxy composites [25]. There are several types of Kevlar® yarn that have a variety of properties and can be noted in Table 2. For convenience and availability, dry, spun Kevlar® yarn or thread was obtained for initial prototyping. However, tows made of clusters of entire fibers are also available. The Kevlar® thread was purchased from Atlantic Thread and Supply CompanyTM out of 35 Baltimore, MD. Specifically, the thread that purchased and used for this research is CRAQ-SPUN® Tex-35 Glazed which comes in black or natural colors. sizes are available. Table 2. PrOperties of Kevlar aramid fiber yarns [25] However, other Property K 29 K 49 K 68 K 119 K 129 K 149 Density (g cm-3) 1.44 1.45 1.44 1.44 1.45 1.47 Diameter (pm) 12 12 12 12 12 12 Tensile strength (GPa) 2.8 2.8 2.8 3.0 3.4 2.4 Tensile strain to fracture (%) 3-5'4-0 2-8 3-0 4-4 3.3 1.5-1.9 Tensile modulus (GPa) 65 125 101 55 100 I47 Moisture regain (%) at 25°C, 65% RH 6 4-3 4-3 ' - 1.5 -4.0 -4.9 - - - - Coefficient of expansion (10" K") Matrix Material While most of the attention in a composite material is given to the fiber material, the matrix material is also of importance. While the fiber material is responsible for “carrying the load” associated with composite applications, the matrix material is responsible for many material tasks in its own right. These include positioning fibers as well protecting the fibers from transverse loads buckling, and unfavorable environments. Matrix materials can be made of ceramic and metal material, however polymer matrix materials are the focus of this research. Although polymers are structurally more complex than metal or ceramic material, they are inexpensive and easily processed, 36 which make them ideal for woven composite impellers. More specifically, the matrix material used in this research is a two component resin and hardener epoxy. This gives to a variety of curing methods including self—hardening, heat-curing, as well as UV-curing. There are three ways in which matrix material can be applied. The first is a post- process application where large amounts of fibers are initially oriented, and then the matrix material is applied after. This may be favorable for simple composite geometries in that it reduces waste and messes. However, in a post-process matrix application, it may be difficult to distribute matrix material evenly throughout as well as control fiber to matrix ratios. Examples of post-process matrix application can be shown in the impellers in Figure 21 and Figure 22. Another convenient method of applying matrix material is through the use of pre- impregnated (pre-preg) tows. Pre-preg tows are a bundle of fibers that already contain the epoxy material which is solidified after controlled curing. The hand wound prototype shown in Figure 50 and Figure 52 were made of this pre-preg material. This method is by far the most convenient in terms of eliminating messy resin baths, however it is only available in certain fiber tows. This limits its applicability where specialized fibers and various tow thicknesses are desired. Using a pre-preg tow also limits the custom control of the matrix distribution as well because quantities are pre-deterrnined. The third and most common method of matrix application is the resin bath or wet winding. This method is practiced by running fiber tows first through a resin bath and then on the mandrel or winding surface. Photos of this method are Shown in Figure 20 and Figure 49. Although cumbersome and messy, this matrix application allows for the outright control of distribution on the fiber and can be applied to any geometry. 37 Figure 20. Fiber tow being run through a resin bath for wet winding 38 Figure 21. Automatically woven impeller prototype pattern S-B with post-process applied resin Figure 22. Automatically woven impeller prototype pattern 8-C with post-process applied resin 39 Winding Patterns AS mentioned above, several winding shapes can be created. These different shapes have various advantages and characteristics unique to their geometry. Table 3 shows the classification and various characteristics of several winding patterns. Patterns are first named by the number of blades, or in the case of the winding mandrel, the number of slots. The patterns are then assigned letters corresponding to the relative size of the inner diameter. Patterns of a given number of blades are assigned with an “A” for the largest inner diameter and “B” for the next size smaller inner diameter, etc. Some patterns have the unique characteristic of having a zero inner diameter. Examples of these patterns include 6-B, 8-C, and lO-D. 40 Table 3. Abbreviated table of winding patterns (full table in Appendix C) Number of Points Pattern 5 1. skip 1 5 1. skip 2 5 2. skip 1 5 2. skip 2 5 3. skip 1 5 3. skip 2 5 4. skip 1 5 4. skip 2 6 1. skip 1 6 1. skip 2 6 1. skip 3 6 2. skip 1 6 2. skip 2 6 2. skip 3 6 3. skip1 6 3. skip 2 6 3. skip 3 6 4. skip 1 6 4. skip 2 6 4. skip 3 6 5. skip 1 6 5. skip 2 6 5. skip 3 71.sk1p1 71.skip2 7 1. skip3 7 1, skip4 7 2. skip1 7 2. skip2 7 2. skip3 7 2. skip4 7 3. skip1 Not Possible Shape N 5—A 5-A 5-A 5-A 5-A 5-A 6-B 7-A dildo 0.5 0 Stack-up in the center 0.5 0.5 O Stack-up in the center 0.5 0.62349 0.22252 0.22252 0.62349 0.62349 0.22252 0.22252 0 0.62349 Notes Sharp turns Sharp turns Sharp turns Sharp turns Sharp tums Solid outside for 3 separate slxths of the circuit, normal 0 inside. stack-up in the center Sharp turns Shapes: 5—A 7-A The second column of Table 3 called “pattern” refers to the repeated winding fiber path. Patterns are in the form, “# skip #”. Starting at an arbitrary slot in a winding mandrel, the first number refers to how many slots the fiber must wrap around the outside before entering the slot. For example, if the pattern is “1 skip #”, the fiber must start at an arbitrary Slot, wrap around the mandrel, and enter the next slot. This is illustrated in Figure 23. 41 /.\ \% Figure 23. Schematic illustration of fiber path in pattem"1 skip #" The second number is the pattern refers to how many slots the fiber must skip before exiting through the next slot. For example, if the pattern is “I skip 2”, the fiber must enter the first Slot after wrapping around the outside of the mandrel. Then, the fiber must skip 2 slots in the middle of the mandrel before exiting out the next slot to repeat the pattern again. This is illustrated in Figure 24. 42 Figure 24. Schematic illustration of fiber path in pattern "1 skip 2" The ninth column labeled “di/do” is the ratio of the inner diameter to the outer diameter. This is elegantly calculated by Allen Eyler for each shape by the general equation EL =lj(1 — cosEn—N)2 + (Sinai/Y)2 (6) where S is the number of slots in the winding mandrel or blades, and N is a pattern factor used in the calculation. This pattern factor starts with zero for patterns that have no inner diameter like 6-B or 8-C. When the pattern has an even number of slots (i.e. when S is an even number) this factor is a whole integer (0, 1, 2, 3,. . .). When S is an odd number, N is assigned numbers that start at 0.5 and increase by l (i.e. 0.5, 1.5, 2.5,...). N factors start 43 at the smallest inner diameter and increase with increasing inner diameter for patterns with the same number of slots. For example, for patterns with 8 slots (i.e. 8-A, 8-B, and 8-C) the N factor is 0 for 8—C because it has a zero inner diameter. The N factor is 1 for 8-B because it has the next smallest inner diameter, and 2 for 8-A because it has the largest inner diameter for patterns with 8 slots. An example of the N factors for odd slotted patterns can be the 5:7 patterns (i.e. 7-A and 7-B). Here the N factor would be 0.5 for 7-‘B because it has the smallest inner diameter of the 7 Slotted patterns. The N factor would be 1.5 for 7-A because it has the next largest inner diameter. These are the only patterns for 5:7. It can be Shown that patterns with zero inner diameters are only possible with patterns that have an even number of slots. Therefore, these are the only patterns that may have an N factor of zero. This di/do ratio is very useful for selecting specific patterns for size constrained applications like hub diameter. It is also useful when selecting various bearing and shaft/axel configurations. In addition to different Size characteristics, the various winding patterns have other characteristics that are worth mentioning. These include fiber paths with sharp turns that may be less favorable for brittle fiber material. Also, some patterns have areas where fibers “stack-up” relative to other areas of the impeller because of frequent overlapping. Characteristics like these are important to identify because they can be advantageous or undesired depending on application. Advatages of Winding Design A schematic illustration of a woven impeller can be shown in Figure 25. Here a star shaped configuration is depicted, however virtually any shape can be made. These may include curved blades that increase efficiency. There are several advantages to this 44 design. One is that the woven composite impeller can be mass-produced and rapidly prototyped using a readily available multi-axis winding machine greatly reducing costs. An example such a machine is the McClean AndersonTM Super Homet® SX9000 shown in Figure 26. Figure 25. Illustrative model of woven impeller pattern 8-B By using commercially available software, a design code can be electronically written and carried out by the fiilly automated winding machine. , Utilizing this technology also reduces costs by eliminating the need for additional assembly of components. Various geometries can by constructed by the winding machine including radial-flow and mixed-flow impellers. In addition, the computer design also allows for an outer shroud. An outer shroud adds additional sealing and strength in the tangential direction, thus allowing for an integrated motor at the outer diameter. The star shape depicted in Figure 25 also employs its geometry to segregate the turbulent, separated flow around the hub or inner diameter from the uniform flow along the blades. This flow 45 segregation allows for better efficiency. Structural advantages are discussed in greater detail later in Chapter 9. Figure 26. Commercially available Super Hornet winder from www mm Driving Scheme In addition to the geometrical freedoms this impeller offers, the woven or wound impeller also allows for various elegant methods of driving the impeller. Conventional turbo-compressor design employs a separate motor to drive an impeller via a shaft. Although the woven impeller technology can most certainly be used for this driving design, the scope of this thesis includes a more elegant and compact design involving the integration of motor components. By doing this, the compressor impeller in-itself becomes an integral component in the electric motor. Electric motors involve two major components: the stator and rotor. By integrating electrical or magnetizable components in the impeller, the woven impeller can essentially become the rotor portion of the electric motor. The two motor schemes explored in this research are the brushless 46 permanent magnet motor approach as well as configuration known as an induction machine or induction motor. Brushless Permanent Magnet Motor For simplicity, a permanent magnet motor can be introduced as two electromagnets on a stator surrounding a permanent magnet in its center as the rotor. A schematic illustration of this is shown in Figure 27. Each pair of stator windings make up a motor phase, thus Figure 27 is a Single phase motor. A current running through the windings of the stator induces an electromagnetic field that interacts with the permanent magnet rotor. When the Similar poles of the permanent magnet rotor, and the electromagnetic stator repel each other, the rotor moves to the opposite poles of the stator. Reversing the current through the stator reverses the poles, and the rotor is repelled again. Repeating this creates a motor torque. i ._k__%\\ Figure 27. Schematic, illustrative example of a single-phase permanent magnet motor 47 Although this simple single-phase example is useful for describing the general principle of the permanent magnet motor, it is more common to have several pairs of stator windings. An example of a 3-phase motor is shown in Figure 28. AS the number of phases and poles increases, the torque characteristic on the rotor changes as well. An important distinction to make is the mechanical position of the rotor, and the electrical position. The mechanical position 0”, of a rotor is defined by the number of poles facing the air gap M... and the electrical position 6.. a, = —— 9m (7) So, if a motor with a 4-magnet pole (2-magnet pairs) rotor does one entire electrical rotation, it has only done 180 degrees of mechanical rotation. The electrical frequencyfe and mechanical frequencyfl" are related to each other through the number of poles. fe = Nme (8) Thus, for a certain mechanical rotational speed, the electrical frequency required increases with the number of magnet poles. This is where the motor design is often constrained by the limitations of the input device (frequency converter) that is used to drive the motor. Therefore, fewer magnet poles are used for the design of high-speed motors to keep the electrical frequency down. The drawback for using fewer magnet poles, however, is that the torque production is much lower. The choice of number of magnet poles also ties into the efficiency and overall losses of the design. Since driving 48 the compressor impeller requires high speed and low torque, a motor design with fewer phases is desirable. Figure 28. Schematic, illustrative example of a three-phase permanent magnet motor This type of electric motor concept can be integrated into the woven composite impeller by introducing magnetic material to the wheel. This may be done by attaching magnets to the outer shroud of the impeller or by magnetizing the impeller material itself. One interesting method of magnetizing the woven impeller is by introducing a material into the resin during winding that is either magnetic itself or has the ability to be magnetized. This includes the use of various iron compounds and mixing them within the resin. Induction Motor Another option for an integrated motor is the use of an induction machine. This motor configuration is an attractive option for initial experimentation because of its ease of manufacture. In an induction machine, AC power is used to “induce” electromagnetic 49 fields that are out of phase with one another and essentially “magnetize” a conductive rotor. Because of this, the rotor need not have permanent magnets, but only be made of conductive material. Since the rotor only needs to be constructed of conductive material, the integrated woven impeller does not need to be magnetized, nor have magnets placed within the impeller. This is advantageous because integrating magnets and magnetizing the impeller can be a difficult task, especially in the initial demonstrations of feasibility. The easiest design for an integrated induction machine is simply to wind the impeller on a mandrel that is made of cOnductive material and not remove it. The impeller and mandrel can then be placed in an electric stator designed for induction machines. A picture of this configuration can be shown in both Figure 67 and Figure 68. Different bearing configurations are also possible and will later be discussed in Chapter 10. Although the ease of manufacture makes this integrated motor option very attractive, it is not without its own inherent challenges. One of these challenges is that it requires a 3-phase power supply, which although available in many laboratories and industrial settings, is not readily available in a residential setting. Induction machines also require small air-gaps in between stator and rotor which makes for tight machining tolerances. 50 CHAPTER 9 : COMPUTATIONAL ANALYSIS OF DESIGN Pattern Modeling To generate accurate computer models of the winding patterns classified in Chapter 8, a computer code was written in C++ by lab member, Allen Eyler [26]. This code could generate several outputs automatically that could be directly used in applications such as: 3-D modeling software like UnigraphicsTM, matrix simulation, winding mandrel design, as well as the accommodation for material variation. This code was also employed for physical rapid prototype generation as well as computational structural analysis and preliminary simulations in computational fluid dynamics. Interfacing for 3-D Modeling In addition to a series of points Eyler’s code generated, it also outputted GRIP (Graphics Interactive Programming) commands. GRIP commands are an interface language supplied by UnigraphicsTM to generate 3-D models. They specify the arcs, lines, surfaces, splines, and support mandrel of any winding pattern. Manual inputs and code execution took less than 2 minutes to complete the 3-D models like the one shown in Figure 29. Here we see a 3-D model of pattern 8—2-2 including its support mandrel. Radius of Curvature around Slots The program is sophisticated in that it not only models the winding pattern shapes, but also models the actual fiber paths and behaviors as they are constructed. The computer code calculates and specifies the lines, arcs, and even the radius of curvature as the fiber wraps around and through the mandrel slots. Figure 30 illustrates this specified radius of curvature. 51 Figure 29. Computer model of woven impeller including its support mandrel \ Figure 30. Magnified detail of a wound impeller model, illustrating the radius of curvature of the fiber 52 Fiber Collisions In addition to the radius of curvature, the model also elegantly takes into account fiber collisions. In reality, while winding 3 fiber across the middle of the mandrel, a fiber would come up and over the previously placed fiber below it. However, computer modeling avoids these collisions by defining separate line segments that fibers follow to overlap nicely. An illustration of these defined lines segments and fiber overlapping can be shown in Figure 31. Although these fiber collisions are not much of an effect on some patterns, other patterns such as 6-2-2-B shown in Figure 32 have fibers that all cross the center of the impeller. This makes for a large accumulation of fibers stacking up in the middle that the model needs to account for. Figure 31. Detail showing collision avoidance of the fiber with segments that have previously crossed the cylinder Figure 32. An Impeller Model in which all fiber collisions occur at the center of the cylinder Modeling the Resin When considering a composite material, modeling the fiber material is only half the task. The matrix or resin must also be taken into account for accurate modeling. This is done by connecting points on the fibers and creating a surface. This can be tedious since there can be tens of thousands of points to consider. For this, the original code must generate defined surfaces in the GRIP outputs. This is done by locating endpoints of line segments and matching them to their specified layer. Once enough points and layers are determined, a specified surface can be defined. Repeating this for the entire impeller defines all surfaces on the woven wheel. These surfaces serve to model the resin applied during the actual wheel manufacturing. 54 Structural Analysis Recall from Chapter 4 that to achieve the necessary pressure ratios to employ the use of water as a refrigerant, very high tip speeds must be achieved. Also recall that the majority of the forces on the impeller are from its own inherent mass rotating at high speeds. Because of this, computational simulations must be analyzed to assure the woven impellers withstand these high speeds. These simulations were completed and analyzed by lab member, Anirban Lahiri [27] using FEM (Finite Element Method) along with ANSYSTM software. Setting up the Simulation The material properties used in the simulation were from the Kevlar® 49 properties tabulated in Table 2. Rotational speeds were ramped up to 120,000 RPM to simulate motor startup and operation. To set-up the meshing of the geometry, Eyler’s code [26] was again employed to be used in a MATLAB® code to then generate an ANSYSTM log file. The geometry was then specified and a mesh could be applied. The meshing used in this analysis was Quad 8 node 82 element. This is a quadratic element and provides a better accuracy than its corresponding linear element. It is also an appropriate element for a plane stress analysis. The geometry can be map meshed too, however a free meshing provides pretty good elements with almost zero distorted elements. Stresses and displacements were analyzed while varying parameters such as skip number and fiber thickness. Simulation Results The displacements and stresses were determined and plotted. A small sample of these plots is shown in Figure 33 through Figure 40 below. The following figures 55 determine a general nature or trend of various winding patterns. It is very important to note that the displacements conveyed in the figures were greatly exaggerated for detection purposes within each individual pattern, and that the actual displacements are much smaller in reality. It should also be noted that the scales of each plot are greatly different as well. The plots are to observe the relative displacements of locations within each pattern themselves. NDDAL SOLUTION AN STEP-I OCT 13 2008 son -1 16:57:16 DHX -.IODE-03 SI‘IX =.100E-03 0 .22313-134 .44oE—04 .668E-04 .891E-04 .lIIE-04 .3345-04 .557E-04 .7305-04 .1005-03 Figure 33. Pattern 7A - Displacement 56 AN 1 NODAL SOLUTI OK STEP-J. OCT 13 2008 SUB _1 16:56:01 TIM-I SEOV (AVG) DEX -.100E-O3 5H1! -.312£+O7 SEX -.116E+10 . 3121-24-07 .Zsfizws . SIIBE-HJS .775E+09 .103E+IO . 132E+09 . 389121-09 . 6471:1439 . 904E+O§ . 116E+10 Figure 34. Pattern 7A - Stress AN NODAL SOLUTI UII my“ OCT 13 2008 SUB -1 15:59:23 Trim-1 usun (AVG) RSYS-U DHX - . 699E-O4 SEX -.699E-04 0 .1555-04 .3115-04 .466E-04 .6222-04 .7772-05 .233r-o4 .BBBE—O4 .5442-04 .699E-04 Figure 35. Pattern 7B - Displacement 57 IIDDAL SO LUTI OI SHX I.563E+09 AN OCT 13 2008 16:59:40 816537 .633E+06 ‘ . 376E+09 . 313E+09 126E+09 .251E+O‘3 . 180124-09 . 43851-09 . SOLE-+09 . 563E+O9 Figure 36. Pattern 7B - Stress 110th 50 LUTI Oll STEP-1 SUB =1 (AVG) SEX I. 102E—03 OCT 13 2008 17:00:24 .‘Kft. ‘ . WE 2272-04 .455E—04 .682E-04 3091-2-04 .3411'2—04 .568E—04 .7952-04 .102E-03 AN Figure 37. Pattern 8A - Displacement 58 I IIODAL SOLUTION STEP-1 SUB =1 TIE-1 SEOV (AVG) DHX -.102E-O3 SHIT -.109E+07 SHX -.110E+10 . 1091-307 OCT 13 2008 17:00:44 . 5“. . ..f 24SE+09 .4:38E+09 .732E+09 .97SE+09 . 366E+09 .610!+09 .853E+09 . 110E+10 Figure 38. Pattern 8A - Stress IIODAI. SOLUTI 0N USU'H (AVG) DHX -.636E-04 SHX -.636E-O4 AN 0LT 13 2008 17:04: 58 d .141E-04 .ZbJE-O‘l .42-IE-04 .ScsE-04 .707E-05 .212E-04 .353E-O4 .495E-04 .6365-04 Figure 39. Pattern 88 - Displacement 59 1 HOD“. 50 LUTI ON AN STEP-1 OCT 13 2008 SUB -1 17:04: 39 TIRE-1 SEOV (AVG) DEX -.636E-04 SHN -.173E+07 SEX -.310E+09 ;. ’ mus ‘ .173E+07 .7UZE+08 .13954-09 .207E+09 .27SE+09 . 36024-08 . 104E+09 . 173E+09 . 24lE+09 . 310E+09 Figure 40. Pattern 88 - Stress Analysis of Simulation Results An interesting observation from the displacement diagrams is that for the A types of designs, the maximum displacements occur in the inner fibers while they occur in the outer fibers for every other design styles like B,C, D, E, etc. Also, another observation is that as the inner circle becomes smaller (as the number of skip increases), the stresses in the inner fiber decreases. This can be explained from the simulations in the varying thickness outer shroud simulations. So as the fibers pass through the centre, the stresses become less. Efiect ofSkip Recall from Chapter 8 the winding patterns included a skip number that denotes the number of slots the fiber “skips” before it exits the mandrel. One can make the 60 generalization that the higher the skip number, the smaller the inner hub area of the impeller is. The skips were varied for the different impellers and the stresses were studied. Simulations were done until the number of points on the circumference of the impeller was 24. The results plotted in Figure 41 through Figure 43 below indicated that the stresses reduced as the number of skips increased. For convenience, the skip numbers are divided into low (6-9), medium (10-14) and high (15 and above). The stresses decrease monotonically as the number of skips increase. It can also be shown that the stresses flatten out and do not increase or decrease very profoundly after skip 2. No. of points on circumference = 6 - 9 1600 1‘ 1400 -+f . l A 1200 ‘1 i,__. A 1 ' o 6. g 1000 i x 1. 75 E i I ‘ tn = X 9. £3 600 J . t; m E x 400 4; , - X 200 0 x 7 __ f 7 i7s___ a 77s _ __fi 0 1 2 3 4 Skip (n) Figure 41. Stress vs. skip for patterns with 6-9 slots 61 No. of points on circumference =10 - 14 1200 1 ' A I 1000 1 i . 7; 8°01 1’ ao . 0 CL 1 a E l i ' In 11: 3 6001 I iA121 g I13I m 400 4, O . 14i 1 Q ‘ 11--.] 200 1 ! o L_ s- H _ _ s___ _ -fiw _, 0 1 2 3 4 5 6 Skips(n) Figure 42. Stress vs. skip for patterns with 10-14 slots For the 10 through [4 patterns, the maximum skips are 5. Again, the stresses show the same behavior as in the 6 through 9 patterns. The last case shown here is the case where the numbers of points on the impeller are from 15 to 18. Almost all of the points show similar behavior as the cases shown in Figure 41 and Figure 42. However, as the skip is increased, or patterns like 18 and 19, the stress does not monotonically increase or decrease with skip. This may be due to the fibers getting close to each other and having non linear interaction effects. 62 No of points on circumference 15 - 18 1200 1 1 1000 I Q I . .-—.—7. A 800 1 - - J. 15 g l I ‘ l l 16 E I ' z 600 _J . O I . J l 17; in I . ‘ I 18 g J t - g 1 ‘0 400 J ° 9, “ n [3.19; J A % I : I 200 J 0 ‘T "' ‘fi '_ F —-i ‘ ‘ —— ' " T— —" Y'—— ‘T— ‘ "T—“Wfi' ‘——1 o 1 2 3 4 5 6 7 8 9 Skip (n) Figure 43. Stress vs. skip for patterns with 15-18 slots Eflect of Fiber Thickness In plotting the effect of varying fiber thickness, the results were again documented with reference to the number of slots in the winding patterns. Fiber thicknesses of both the blades and the outer shroud of the impeller structure were selected as l and 2mm. All the thickness simulations are not shown here because of space issues. However, the general behaviors of the curves are the same. 63 1600 J 1400 l 1200 ___L__ 1000 1 800 1 600 < 400 ~ Maximum Von Mises Stress (MPa) 200 1 Stress vs skip Fflhckness = 1mm)J 11201199535299.11 Skip(n) Figure 44. Effect of fiber thickness for 7 slot pattern Maximum Von Mises Stress (Mpa) c» o o , i do 9(thickness = 1mm) 1 - 9(thickness = 2mm) J 400 J ' - ° 1 a 200 ‘ 1 1 J 0 J I r 1 "‘ F T 1 0 1 2 3 4 5 J Skip Figure 45. Effect of fiber thickness for 9 slot pattern 64 FAA _.__ ___. ___________________ Stress vs skip J o 16(thickness = 1m): 800 1 :1§<£hi Maxlift Then Maxlift = Cells(Row, Col) Male = Cells(Row, 8) End If Row 2 Row + 1 Loop Cells(Col + 15, 2) = Male Cells(Col + 15, 3) = Maxlift Col 2 Col + 1 Loop End Sub 101 Sub MaXCOPLineWater() Col = 21 Do While Col < 30 Row 2 3 Maxlift = 0 Do While Row < 350 If Cells(Row, Col) > Maxlift Then Maxlift = Cells(Row, Col) MaXTl = Cells(Row, 20) End If Row 2 Row + 1 Loop Cells(Col + 13, 2) = Male Cells(Col + 13, 3) = Maxlift Col 2 Col + 1 Loop End Sub Sub Intersection() IntersectionCells Col = 32 Do While Col < 42 Var 10000 Row = 3 102 Do While Row < 200 If Abs(Cells(Row, Col)) < Var And Abs(Cells(Row, Col)) <> 0 Then Inter = Cells(Row, 20) Inter2 = Cells(Row, Col — ll) Var = Abs(Cells(Row, Col)) End If Row = Row + 1 Loop Cells(Col + 13, 2) = Inter Cells(Col + 13, 3) = Inter2 Col 2 Col + 1 Loop End Sub Sub IntersectionCells() RRow 3 Coll 32 Do While Cells(RRow, 8) <> Range("T3") RRow = RRow + 1 Loop Do While Coll < 41 RRRow = 3 hold = RRow Roww = hold Do While RRRow < 200 103 Cells(RRRow, Coll) = Cells(RRRow, 20 + Coll — 31) - Cells(Roww, 8 + Coll — 31) RRRow = RRRow + l Roww = Roww + 1 Loop Coll = Coll + 1 Loop End Sub 104 APPENDIX C. COMPLETE PATTERN DESIGN TABLE Number of Point Pattern 5 1, skip 1 5 1, skip 2 5 2. skip 1 5 2. skip 2 5 3. skip 1 5 3, skip 2 5 4. skip 1 5 4. skip 2 6 1. skip 1 6 1. skip2 6 1. skip 3 6 2. skip 1 6 2. skip 2 6 2. skip 3 6 3. skip 1 6 3. skip2 6 3. skip 3 6 4, skip 1 6 4. skip2 6 4. skip 3 6 5, skip1 6 5. skip2 6 5. skip3 7 1. skip 1 7 1. skip 2 7 1. skip 3 7 1. skip 4 7 2. skip 1 7 2. skip 2 7 2. skip 3 7 2. skip 4 7 3. skip 1 7 3. skip 2 7 3. skip 3 7 3. skip4 7 4, skip 1 7 4. skip 2 T 4. skip 3 7 4. skip 4 7 5. skip 1 7 5. skip2 7 5. skip 3 7 5. skip4 7 6. skip 1 7 6. skip 2 7 6. skip 3 7 6. skip4 Not Possible Shape N S-A 5—A 5-A x S-A 5—A S-A i S 1’ 6-A I 6—A 7-A x 7-A 7-A X dildo Notes Sharp turns Sharp turns Sharp tums 0.5 Sharp turns 0 Stackvup in the center 0.5 0.5 Sharp turns 0 Stack—up in the center 0.5 Solid outside for 3 separate sixths ofthe circuit, normal 0 inside. stack-up in the center 0.62349 0.22252 0.22252 0.62349 Sharp turns 0.62349 0.22252 0.22252 0 0.62349 0.22252 0 0.62349 Sharp turns 0.62349 0 0.22252 0.62349 Sharp turns 0 0.22252 0.22252 0.62349 Sharp turns 0.62349 0.22252 0.22252 0.62349 Sharp turns [05 @@§ 6-A 99 6—B so APPENDIX C. COMPLETE PATTERN DESIGN TABLE Number of Points Pattern 5 1. skip 1 5 1. skip2 5 2. skip 1 5 2. skip 2 5 3. skip1 5 3, skip 2 5 4. skip 1 5 4, skip 2 6 1. skip 1 6 1, skip 2 6 1. skip 3 6 2. skip 1 6 2, skip 2 6 2. skip 3 6 3. skip 1 6 3. skip 2 6 3. skip 3 6 4. skip 1 6 4. skip 2 6 4. skip 3 6 5. skip 1 s 5. skip 2 6 5. skip 3 7 1. skip 1 7 1. skip 2 7 1. skip 3 7 1. skip 4 7 2. skip 1 7 2. skip 2 7 2. skip 3 7 2. skip 4 7 3. skip 1 7 3. skip2 7 3. skip 3 7 3. skip4 7 4. skip 1 7 4. skip 2 7 4. skip 3 7 4. skip 4 7 5, skip1 7 5. skip 2 7 5. skip 3 7 5. skip 4 7 6. skip 1 7 6. skip2 7 6. skip 3 7 6. skip 4 Not Possible Shape N dildo Notes 5—A Sharp turns 5—A 5—A Sharp turns S-A 5A Sharp turns 5 @2 5—A 6—A 1 0.5 Sharp turns 0 Stack—up in the center 9 S 0.5 6-A 1 0.5 Sharp turns x 6—A 6-8 0 0 Stack-up in the center 6—A 1 0.5 Solid outside for 3 separate sixths ofthe circuit. normal 0 inside. stack-up in the center 3 7A 1.5 0.62349 6-8 7-5 0.5 0.22252 7—B 0.5 0.2252 7-A 1.5 0.62349 Sharp turns 7—A 1.5 0.62349 7—B 0.5 0.2252 7-8 0.5 0.2252 x 0 7—A 1.5 0.62349 78 0.5 0.2252 x 0 7-A 1.5 0.62349 Sharp turns 7—A 1.5 0.62349 x 0 7—8 0.5 0.2252 7-A 1.5 062349 Sharp turns 0 743 0.5 0.22252 75 0.5 0.22252 7—A 1.5 0.62349 Sharp turns 7-A 1.5 0.62349 7-8 0.5 0.2252 7—B 0.5 0.22252 78 7-A 1.5 0.62349 Sharp turns so 105 94. 94. 94. 94, 94. 95, 95. 95, 95. 95, 95. 96. 96. 96. 96, 96. 96. 97. 97. 97, 97. 97. 97. 98. 98. 98. 98. 98. 98. 10 1, 10 1. 10 1. 10 1. 10 1. 10 1. 10 1. 10 2, 10 2. 10 2. 10 2. 10 2. 10 2. 10 2. 10 3. 10 3. 10 3. 10 3. 10 3. sMpZ sMp3 sHp4 shpS sHp6 sMp1 sMpZ sHp3 sHp4 sHpS sHpG sMp1 sMpZ shp3 sHp4 sMpS sHpS shp1 sHpZ sMp3 sMp4 sHpS sHp6 sHp1 shp2 sHp3 sMp4 sMpS sHpB skip 1 skip 2 skip 3 skip 4 skip 5 skip 6 skip 7 skip 1 skip 2 skip 3 skip 4 skip 5 skip 6 skip 7 skip 1 skip 2 skip 3 skip 4 skip 5 $§§$ 86 10—A 1 0—A 1 0-D 10-C 10—D 10-C 1.5 0.5 1.5 2.5 1.5 0.5 1.5 2.5 0.5 0.5 2.5 1.5 0.5 1.5 2.5 2.5 1.5 0.5 1.5 -- N w -I (a) ‘0 0.5 0.17365 0 0.5 0.76604 Sharp turns 0.76604 0.5 0 0.17365 0.5 SC 0 0.76604 0 0.17365 0.17365 0 0. 76604 Sharp turns 0 0.5 0.17365 0 0.5 0.76604 Sharp turns 0.76604 0.5 0 0.17366 0.5 0 0.80902 0 0 0 0.30902 0 0.80902 Sharp turns 0 0 0 0 Stack-up in the center 0 0.58779 0 0 0 0.30902 Solid outside for 5 separate tenths of the circuit, normal 0 inside. stack—up in the center 0.30902 103 107 10 3. 10 3. 10 4. 10 4. 10 4. 10 4. 10 4. 10 4. 10 4. 10 5. 10 5. 10 5. 10 5. 10 5. 10 5. 10 6. 10 6. 10 6, 10 6. 10 6. 10 6. 10 7. 10 7. 10 7. 10 7. 10 7. 10 7. 10 7. 10 8. 10 8. 10 8. 10 8. 10 8. 10 8. 10 8. 10 9. 10 9. 10 9. 10 9. 10 9. 10 9. 10 9. shp6 sup? sHp1 shp2 sHp3 shp4 shpS sHpG sfip7 sHp1 shp2 sHp3 ,skip4 shpS sMpG sHp7 sHp1 sHpZ sfip3 .skip4 skip 5 skip 6 skip 7 skip 1 skip 2 skip 3 sHp4 sHpS sHp6 shp7 sfip1 sHpZ sHp3 shp4 shp5 sMp6 sHp7 sHp1 shp2 sHp3 skip 4 skip 5 skip 6 skip 7 10—A 1043 104B 108 10—A 10—C 10—C 10—D 10-A 10—C 10A (.0 N N w d u. U N N w —I .5 N (a) d U 0 0.80902 Sharp turns 0 0.58779 0 0 Stack—up in the center 0 0.58779 0 0.80902 100 0 0.30902 0 0.30902 0 0.80902 Sharp turns 0 0.58779 0 0 Stack—up in the center 10-0 0 0.58779 0 0.80902 0 0.30902 Solid outside for 5 separate tenths of the circuit. normal 0 inside. stack-up in the center 0.30902 0 0 0 0.58779 0 0 Stack-up in the center 0 0 0 0.80902 0 0.30902 Solid outside for 5 separate tenths of the circuit, normal 0 inside. stack-up in the center 0 0.80902 Sharp turns 108 11L 11L 111 111, 111. 11L 111 111 112 112 112 112 112 112 112 112 113 113 113 113 113 113 113 113 115 114 114 114 11A 115 115 115 115 115 115 115 115 115 115 115 115 115 115 115 115 115 115 115 sHp1 shp2 shp3 sHp4 sHpS sHpG sHp7 shpa shp1 shp2 shp3 sHp4 sMpS sHp6 sHp7 sHpB shp1 sfip2 shp3 sHp4 smpS shp6 smp7 shpa sHp1 sHpZ smp3 5Hp4 sMpS sHpS sHp7 sHpB sHp1 shpz sHp3 sHp4 shpS sHp6 sMp7 sMp8 sMp1 sMpZ sHp3 sMp4 sMpS sHp6 shp7 sHpa 35 15 05 05 15 35 35 25 15 05 05 15 25 35 35 0&“25 0&Mfl5 on1su 014231 014231 041flu (1&M86 0&“258mmphmm 0&“25 0&M86 04190 014231 01MB1 04EM2 06RW6 0.64125 Sharp turns 08M25 06RW6 041au 01MB1 01431 04HM2 0&Mfli 0.84125 Sharp turns 0&"25 0&M86 0415a 014231 014231 0415a 065W6 0.84125 Sharp turns 0&"25 asses oauuz 014231 014231 04150 069W6 0.84125 Sharp turns 0&“25 ussuw 041sm 014231 014231 04flM2 065M6 0.84125 Sharp turns 109 1LC 110 117, 117. 117. 117, 117, 117, 117. 117. 118. 118. 118. 118, 118. 118. 118. 118. 119. 119, 119. 119. 119. 119. 119. 119. 11 10. 11 10. 11 10. 11 10, 11 10. 11 10. 11 10. 11 10. shp1 shpZ sMpB shp4 shpS shp6 shp? shp8 shp1 shp2 shpB sHp4 shpS shp6 shp? sHpB shp1 sHpZ shp3 sHp4 sHpS shp6 sHp7 sMp8 sMp1 SMpZ shp3 shp4 shpS sMpG sMp7 sHpB 11-A 11-B we 11-0 11-0 114: 11-8 11-A 11-A 113 no 114) 11.0 no 11-B 11«A 11-A 11-8 114: 11-0 11-0 114: 11-8 11-A 11-A 1143 11c 11-0 11-0 no 118 11-A 3-5 2.5 1.5 0.5 0.5 1.5 2.5 3.5 3.5 2-5 1.5 0.5 0.5 1.5 2.5 3.5 3.5 2.5 1-5 0.5 0.5 1.5 2.5 3.5 3-5 2-5 1.5 0.5 0.5 1.5 2-5 3.5 0-84125 0.65486 0.41542 0.14231 0.14231 041542 065486 0-84125 Sharp turns 0.84125 0.65486 0.41542 0.14231 0-14231 0.41542 0.65486 0.84125 Sharp turns 0.84125 0.65486 041542 014231 0.14231 0.41542 0.65486 0.84125 Sharptums 0.84125 0.65486 0.41542 0.14231 0.14231 041542 065486 0.84125 Sharp turns [10 REFERENCES l. 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