DESIGN PARAMETERS OF FLUIDIZATION PR§NC§PLES FOR FORAGE HARVESTlNG AND PROCESSING Thesis for the Degree of Ph. D. MICHIGAN STATE UNIVERSITY LESTER FRANK WHETNEY I 9 6 4 7 1“"I‘FI'I This is to certify that the 1 thesis entitled ' Design Parameters of Fluidization Principles For Forage Harvesting and Processing presented by Lester Frank Whitney has been accepted towards fulfillment ‘ of the requirements for l Major professor Date-W ! ______._——--"W~v--*-' '- ABSTRACT DESIGN PARAMETERS OF FLUIDIZATION PRINCIPLES FOR PORAGE HARVESTING AND PROCESSING By Lester Frank Whitney The value of the annual hay crop in the United States exceeds $2.3 billion, with conservative estimates of 28% loss using conventional harvest and storage practices. To reduce this loss, a different system approach is considered. The concept involves stripping the leaves from growing alfalfa plants and alloving the stems to grow new leaves for future harvest. The leaves and minor stems would then be rapidly dried utilizing fluidization drying. The design parameters for continuous fluidized drying are the main con- cern of this research. Leaf stripping of alfalfa plants was attempted on a limited experimental basis and was found to be feasible. The desirability of leaf stripping as a cultural practice has yet to be established. The possibility of accOmplishing leaf stripping by mechanical means has yet to be developed. Such a procedure is necessary because of the incompatibility of fluidizing both stems and leaves in the same operation. Furthermore, seventy percent of the nutritive value of the plant is in the leaves and can be recovered by removal of 50% of the plant water. The drying is enhanced by the more desirable heat and mass transfer prepertiea of the leaf. Susceptibility of leaves to damage at the high temper— atures associated with this dehydration was investigated by single leaf studies and the mathematical description of the time-temperature~damage point was determined. Leaves were dried to equilibrium with air at 500'F in 15 seconds without damage to the product. The drying rates of alfalfa leaves at high temperatures up to 800°! were established as a family of exponential functions. Flake particle behavior relating the Sphericity of the particle to the change in moisture content in a fluidized bed was investigated. This parameter is of vital concern in predicting the fluidizing velocities and voidage of the bed. Single leaf sphericity values were determined using a mercury displacement method developed for this study. The sphericity data were statistically analyzed and this parameter was found to be nearly constant for the total moisture content range. A discernible difference was found between small and large alfalfa leaves. lass behavior of leaves in a small diameter drying tower was investigated to relate the mass velocity of the drying medium to a drying index of the leaves under study. This parameter had been previously investigated using pilot process, continuous flow equipment at inlet temperatures above 720°. However, the macroscopic scale of the laboratory apparatus developed for this study yielded similar relation- ships at inlet temperatures of 200 to 300°F. The small diameter drying tower required the use of leaves smaller than alfalfa. Birdsfoot trefoil, another trifoliate plant, was used in this phase of the study. Fluidization drying principles were found to be well adapted to forage leading to the conclusion that the system concept was feasible, warranting further research activity. Application of this system might appear as a farmstead pro~ cess perhaps utilizing unused noncombustible silos or a field alfalfa leaf combine. Approved WM W Aka? /9(V’ DESIGN PARAMETERS OF PLUIDIZATION PRINCIPLES FOR FORAGE HARVESTING AND PROCESSING By Lester Frank Whitney A THESIS Submitted to the School for Advanced Graduate Studies of Iichigan State University in partial fulfillment of the requirements for the degree of DOCTOR OF PHILOSOPHY Department of Agricultural Engineering 1964 PLEASE NOTE: Figure pages are not original copy. They tend to curl. Filmed in the best possible way. University Microfilms, Inc. Lrsr or rrcunss . . . . . . . . . . . . . . . . LIST OF TABLES . . . . . . . . . . . . . . . . . ACKNO'LEDGEIENTS . . . . . . . . '1 TA 0 O O O O O O 0 O I 0 0 O O O O O O O 0 O 0 INTRODUCTION’ . . . . . . . . . . . . . . . . . . REVIH' 0? LITERATURE . . . . . . . . . . . . . . Pluidized Bed Drying of Alfalfao I . . . . . Behavior of Pluidized Biological laterials . Divergence of velocity Field . . . . . . . . . THEORETICAL oossxnsasrtons . . . . . . . . . . . srarsnssrlor rs: paosLsa . . . . . . . . . . . . PnerlrnAar INVESTIGATIONS . . . . . . . . . . . Forage Plant Selection . . . . . . . . . . . . Plant Part Dimensions . . . . . . . . . . . . Stokes Law Application to Alfalfa Plant Parts Single Particle Behavior in Suspension . . . Stripping Leaves As A Cultural Practice . . . Ernsararxran TECHNIQUES . . . . . . . . . . . Time-Temperature-Damage Point Relationships of Alfalfa Leaves ; . . . . . . . . . . . . . . Damage Point Tests . . . . . . . . . . . . . Sphericity-loisture content Relationships . Sphericity Determination Tests At Various loisture Cbntehts . . . lass Yelocity-Temperature-Ioisture Removal Relationships . . . . . . . . . . . . . . . Instrumentation of Drying Tower . . . . . . . Drying Test Procedures . . . . . . . . . . . . Page RESULTS AND DISCUSSION . . . . . . . . . . . . . . . . . 86 Damage Point Relationships . . . . . . . . . . . . . 88 Drying at Ultra-High Temperatures . . . . . . . . . . 91 Sphericity-loisture Content Relationships . . . . . . 98 lass Rate of Plow, Temperature, and lbisture Removal Relationships . . . . . . . . . . . . . . . . . . . 102 sumarmconcwsxoxs ..............'..109 FUTUREINVRSTIGATIONS.................112 “maxim AMI“: O O O O O O O O O O O O C O 0 O O O O O O O O 119 A. Summary of Damage Peint and Drying Data for Single Alfalfa Leaves . . . . . . . . . . . . . . 120 B. Summary of Sphericity-loisture Content Data for Alfalfa and Birdsfoot Trefoil Leaves . . . . . . 130 C. Terminal velocity Determinations a - Smoke Powder . . . . . . . . . . . . . . . . 136 b - Alfalfa Stems and Leaves . . . . . . . . . . 139 D. Summary of lass Rate of Flow and loisture Buoyal D‘t‘ O O O O O 0 O I O O O O O O O O 0 e 141 woodman» 10 11 12 13 14 15 16 17 18 19 20 21 111 LIST OF FIGURES Process Plow Diagram . . . . . .g. . . . . . . Impression Of Alfalfa Upper Epidermis- 1200x Stomata Fully Open; Growing Plant . . . . . . Empression Of Alfalfa Upper Rpidermis- lZOOX Stomata Closed After Cut rive Iinutes . . . . Alfalfa And Birdsfoot Trefoil Leaves . . . . Dried Birdsfoot Trefoil Leaves . . . . . . . . Audio-Time Recording Apparatus . . . . . . . . Temperature Indicating Apparatus . . . . . . . Velocity Recording Apparatus . . . . . . . . . Single Leaf Drying Apparatus . . . . . . . . . Analytical Balance . . . . . . . . . . . . . . Leaf Velume leasuring Apparatus-Disassembled . Leaf volume leasuring Apparatus-Assembled . . Velume leasuring Apparatus . . . . . . . . . . Pluidized Bed Drying Tower . . . . . . . . . Drying Tower And neat Source . . . . . . . . . Drying Tower And Seat Source Iith Sample Port Disassembled . . . . . . . . . . . . . . . . . Assembled Drying Tower And neat Source Showing Smoke Powder Injection . . . . . . . . . . . . Photo Cell Circuit & Output . . . . . . . . . Damage Point Relationships . . . . . . . . . . Drying Curves For Alfalfa Leaves At Ultra- High Temperatures . . . . . . . . . . . . . Relation Of loisture Centent Ratio To Time For Drying Alfalfa Leaves At Ultra-nigh TemperatureS............... 8 54 54 55 55 56 56 57 58 59 61 61 82 92 22 23 24 25 26 27 28 iv LIST OF FIGURES (Canto) Relationship Of Drying Constants To Air Temperature For Alfalfa Leaves . Sphericity Versus % leisture Content (D.B.). Relationship Between rlov Of Hot Air And Initial And Final Leaf Ibisture Content Regression Line "Y" Intercept vs Inlet Tenperature (For lass Velocity-Drying Data). Regression Line Slope vs Inlet Tenperature (For lass velocity-Drying Data) Velocity Variation-Natural Drafts Nemograph For Evaluation of Particle Terminal Velocity, Leva (1959) 100 104 106 106 107 138 LIST OF TABLES Page 1 Physical Properties Of Fresh Cut Trifoliate P1 ant Par t8 0 O O O o O I O O I O 0 O O I O 42 2 laterial For Drying Tower And Heat Source . . . 60 3 Drying Curves for Alfalfa Leaves At Ultra~Righ Temperatures . o o . . . . . . . . . . . . 91 4 Moisture Content Ratio, Time, And Temperature Relationships . . . . . . . . . . . . . . . . 94 5 Sphericity Relationships For Leaves At Variable loisture Contents . . . . . . . . . . . . . . . 99 6 Error Analysis Of Sphericity Results For Fresh Cut And Dried Leaves . . . . . . . . . . 101 7 lass Velocity, Temperature, And loisture Removal Relationships . . . . . . . . . . . . . . . . . 103 A-l Summary Of Damage Point And Drying Data For Single Alfalfa Leaves - Temperature 281°? . . . 120 A—2 Summary Of Damage Point And Drying Data For Single Alfalfa Leaves - Temperature 296°! . . . 121 A—3 Summary Of Damage Point And Drying Data For Single Alfalfa Leaves - Temperature 311'? . . . 122 A-4 Summary Of Damage Point And Drying Data For Single Alfalfa Leaves - Temperature 379°! . . . 123 A-5 Summary Of Damage Point And Drying Data For Single Alfalfa Leaves - Temperature 455’? . . . 124 A~6 Summary Of Damage Point And Drying Data For Single Alfalfa Leaves - Temperature 515’? . . . 125 A-7 Summary Of Damage Point And Drying Data For Single Alfalfa Leaves - Temperature 524‘? . . . 126 A-8 Summary Of Damage Point And Drying Data For Single Alfalfa Leaves - Temperature 570°? . . . 127 A-9 Summary Of Damage Point And Drying Data For Single Alfalfa Leaves - Temperature 640°! . . . 127 A~10 Summary Of Damage Point And Drying Data For Single Alfalfa Leaves - Temperature 661‘F . . . 128 sxm'r vi LIST OF TABLES (Cont.) Page A-ll Summary Of Damage Point And Drying Data For Single Alfalfa Leaves — Temperature 761°! . . . 128 A-IZ Summary Of Damage Point And Drying Data For Single Alfalfa Leaves ~ Temperature 819‘? . . . 129 A-lS Summary Of Sphericity-loisture Centent Data, Large Alfalfa Leaves . . . . . . . . . . . . . 130 A-ls Summary Of Sphericity-loisture Content Data, ledium Alfalfa Leaves . . . . . . . . . . . . . 131 A~l5 Summary Of Spherdcity-lbisture Content Data, Small Alfalfa Leaves . . . . . . . . . . . . . 132 A-lfi Summary Of Sphericity-Ioisture Content Data, BirdBIOOt “.1011 O O O O O O C O 0 O O O O O 134 A-17 Summary Of lass Rate Of Plov And loisture . Removal Data, Temperature - 200‘! . . . . . . . 143 A-18 Summary Of lass Rate Of Plow And loisture Removal Data, Temperature - 250'! . . . . . . . 144 A-19 Summary Of lass Rate Of Plov And Ioisture Removal Data, Temperature - 300°? . . . . . . . 145 vii ACKNOWLEDGEIENTS The author wishes to express his sincere appreciation and gratitude to: Dr. Carl W. Hall, Professor, Agricultural Engineering Department, for his constant inspiration, encouragement, interest and supervision under whom this investigation has been conducted. Dr. Robert I. Kleis, Read, Agricultural Engineering Department, University of Massachusetts, for his interest, encouragement and assistance which permitted the undertaking of this program. Dr. A. I. Parrall, Chairman, Agricultural Engineering Department, for his administrative activities in arranging for an assistantship in the early months of the program and for funds in support of this project. Dr. Frederick R. Buelow, Associate Professor, Agri- cultural Rngineering Department, for his assistance in guiding this program as well as his active interest in the instrumentation of the apparatus. Dr. Rolland T. Rinkle, Professor, lechanical Engineering Department and Dr. George E. lase, Associate Professor, letallurgy, lechanics and laterials Science Department, for their interest and assistance in guiding this program. viii His wife, Phyllis, and seven children for their encouragement, understanding, sacrifices, and assistance which have made this program possible and necessary. The Charles R. Rood Foundation and the lassachusetts Society for Promotion of Agriculture for fellowship grants The which supported the early portion of the program. National Science Foundation for a Science Faculty Fellowship which supported the completion of the program. ix VITA Lester Frank Whitney Candidate for the degree of Doctor of Philosophy Final Examination: January 20, 1964, 1:00 P.Mo Room 218, Agricultural Engineering Building. Dissertation: Design Parameters of Fluidization Prin- ciples for Forage Harvesting and Processing. Outline of Studies: Major Subject: Agricultural Engineering Minor Subjects: Applied Mechanics Mechanical Engineering Biographical Items: Born: March 21, 1928, New Bedford, Massachusetts Family Status: Married to Phyllis M. Burrill, 1950; one girl and six boys. High School: Rampden Academy, mepden, Maine Undergraduate Studies: University of Maine, BSAE, 1949 Graduate Studies: Michigan State College, MSAR, 1951 University of Massachusetts, 1959—62 Michigan State University, 1962-64 Experience: Graduate Assistant, Michigan State College, 1949-50 Consultant Agricultural Engineer, Jack R. Kelly Onion Farms, Parma, Michigan 1950-51 Design and Development Engineer, Ariens Company, Brillion, Wisconsin 1951-53 Consultant Agricultural Engineer, Maine .Potato Growers, Presque Isle, Maine 1953-54 Plant Engineer, Assistant Chief Engineer, Assistant Plant Superintendent, Virthmore Feed Division, Corn Products Company, Ialtham, Mass. 1954-59 Assistant Professor in Agricultural Engi— neering, University of Massachusetts 1959-82 Graduate Assistant, Fellow in Agricultural Engineering, Michigan State University 1962-83 Associate Professor in Agricultural Engi- neering, University of Massachusetts 1964 xi Professional Affiliations: Member, American Society of Agricultural Engineers Member, New England Retail Farm and Power Equipment Association INTRODUCTION The value of the annual hay crop in the United States exceeds $2.3 billion and in Michigan is $60 million. Con- servative estimates indicate losses of 28% caused by present harvest, handling and storage practices. Because of these losses and the uncertainties imposed by weather- related factors, the utilization of present systems which result in dried forage as a crop form is being seriously questioned. It appears that radically different system approaches to this problem are needed to minimize crop losses, harvest costs and weather dependence, thus sub- stantially increasing the desirability and efficiency of dried forage systems. Ideally, such a system should have the following characteristics and requirements: 1. Virtual independence of the weather insofar as drying is concerned. 2. Minimal number of machine components and process operations. 3. Simplicity of operation. 4. Forage product should evolve as one which lends itself to completely automatic bulk handling methods. 5. Forage quality should be high. 6. Adaptable to all sized units-~the family farm as well as the commercial enterprise. 7. Initial investment should be economically sound. 8. Costs of operation should be partially offset by a decrease in yield losses now incurred. In brief, a concept is presented herein along with results of initial investigations which support the feasi- bility of such an idealized system. It involves the stripping of leaves from the growing alfalfa plant, leaving the standing stems to regenerate new leaves for future harvest. The stripped leaves and minor stems at 75% m.c., w.b., would then be dried immediately to 20% m.c. utilizing fluidisation drying principles at high temperatures. The dried leaves could in turn be pelletized and handled in bulk, much as the current practice in handling grains. A process flow diagram illustrates the possibilities as shown in Figure 1 for either a field system, such as an alfalfa combine or a farmstead system, as might be con- structed from a noncombustible silo. The key to success of these systems is the continuous drying process by the fluidization of alfalfa leaves. Application of known physical laws indicates the incom- Patibility of the simultaneous suspension of stems and leaves. Experimentation has verified that the theoretical terminal velocity required for a dried stem section of m0mo I o._.z__ B Y A .’ H h 92¢ # M N O .’. n - N , w ToEozoowgoi m - C weak—Ohm 0... 0230241 QUH+ 6w 3 x + aé) xng y y as 315 p3! 3y 2 This is the most general case of the equation of con- tinuity with the additional term accounting for the mass release of water vapor by a particle in suspension. Since a compressible gas with changing density and viscosity is considered, the general form must be used throughout. 24 Similarly, the equation of motion can be written by summing forces on the system: rate of momentum} rate of rate of um of (acceleration) - momenta -moment +{gorces syst This can be expanded to indicate the nature of the forces as follows: rate of increase rate of increase of momentum per of momentum per - r + nit volume - flui nit volume - vapo ate of momentum pressure force gain by convectio + on element per + or unit volume unit volume 4. rate of momentum gain by viscous gravitational ransfer per u.v force on + lement per u.v gravitational force on particle mas + Drag force on} particle By Newton's Law of Viscosity, the viscous forces acting on the faces of the volume element for laminar flow are: 'u >I'I *4I< That is, the force per unit area is pr0portional to the velocity decrease in the distance from the location of force F; the constant of proportionality,fL, is the viscosity of the fluid. The force per unit volume is the stress on the surface. The shear stress exerted in the x-direction on a fluid surface of constant y by the fluid 25 in the region of lesser y is designated as'Txy, and the x- component of the fluid velocity vector is Vx. Thus, Newton's law can be written: Y Y8 ALE?! Six expressions for the stresses can be obtained in terms of the velocities: V V an + 8 + aVz TXX -- -2I~lg_x_x + 2/3’J‘ X 3’7! 3;] plus two similar expressions for‘Tyy and‘Tzz. Expressions for 7&2 - Thy and 758 - ng are similar to: v V The equation of motion can be written for the components: gfpvx+gf 'Vx" '[§vavx+3;PVY'x*§-5PV'V’J -[:% 'rxx + SFTYX + 327”] .. g . pgx + (try/341'“), plus two more equations for y and z components. The equation of motion for the system can be rearranged With the help of the equation of continuity and substitution for the stress terms; considering the x component as follows: 26 .. _ v _ pgeg. "* {first M" 51,3133] 9 aV’ 6V ~a 3V +§i[‘3‘5+&1] + 5&3}! + 379 +ng plus two more equations for y and 2 components, where 2%: is the substantial time derivative. These equations along with the equations of state, the dependency of viscosity and the boundary and initial conditions completely determine the pressure, density and velocity components in a flowing isothermal fluid with a suspended particle. The equations can be expressed in terms of cylindrical coordinates (r, 9, z). Since the z—coordinate is the only one of interest in the simplest case, the equation can be written as follows: v - 3:! 4' Yr avz ‘0’ v9 avz 4* V2 8 z + _a__ ' VZ sz+ 3F— i-“ST 3‘? at - 7' l a79z + 37h 5: B‘s—(r rz)+?ae—‘ z . - v av , Where. ::f%{2fi a: -2 l &S%. (r Vi) + %_g%g + Z2 3V9 + 1 8V: , §E_ F 59— - ~iL a: z +- éfigj as The equation of mechanical energy can now be written by forming the scalar product of the local velocity V with the equation of motion: 27 rate of increase in kinetic energy - per unit volume of fluid and vapor et rate of input of rate of work done kinetic energy by - by pressure of + virtue of bulk flow surroundings on volume element rate of reversible rate of work done - conversion to - by viscous forces + nternal energy n volume element rate of irrever- rate of work done - sible conversion - {by gravity force to internal energy on volume element The increase of internal energy due to the simultaneous heat transfer of the system must be added. The energy balance expressing the first law of thermodynamics is as follows: of internal {fate of accumulation} kinetic energy rate of internal rate of internal and kinetic energ _ and kinetic energy + in, out, by convection by convection not rate of heat not rate of work added by — done by system conduction on surroundings The rate of accumulation of internal kinetic energy within AWAZ is: in v2) Axayaz :33? (p0 + isz) + AXAYAZ 3-; where U is the internal energy per unit mass of the fluid in the element. 28 The rate of convection of internal and kinetic energy into the element is: AYAZ{Vx (PU + ipvz) Ix - Vx (PU + észflxflSx + . . . (two more terms) The not rate of energy input by conduction is: £9112 {081x " (”In-Ax + ' ° ' where qx, qy, and qz are the x, y, and z-components of the heat flux vector 3. Work done by the fluid element against its surroundings is accountable in two parts: the work against the volume forces (e.g. gravity) and the work against the surface forces (e.g. bouyant or drag). The rate of doing work against the gravitational force E per unit mass is: o ‘Pammz (szx + Vysy + VzSz) - yup/'03:: - sy - sz) 0 plus the drag force on the particle +‘yyv’KF dx - de - Fdz) Since the particle is assumed to be stationary, there is no rate of work. The rate of doing work against the static pressure p at the six faces of,AxayAz is: NAz {(pVx)|x+Ax " (PVX)IX} + . Similarly, the rate of doing work against the viscous forces is: 29 MAI {(Txxvx " xyvy " szvz) X+A* " (7'qu - Txyvy - Tszzjx} + . Summing the above expressions for energy and equating according to the first law of thermodynamics, then treating as in the derivation for the equation of continuity, the equation of energy can be obtained in terms of the energy and momentum fluxes. The following equation of energy is in terms of CV, the heat capacity at constant volume and T, the temperature as it changes with respect to time 3% - Appropriate consideration is made of the potential energy change. The expression in cylindrical coordinates is: pcv[g+vr3¥+¥gg§+fig_§]+SEC§wV2)' l a (r q ) + l 309 + 39%] + {35; " ear 3— 1 v) 16's 6% + TB¥]p[FS'F ” ” +r§r+sr] .. T av T 1 ava + v + T avz} + avr + _ V' 7' 3V .. Whats) +-:-g-.=J+ "(5.! 5.— mega?» whore qr --kg_! ’ q9-—k%3-g' and qzu-kgg r k - thermal conductivity 30 For the most general case,[.LandPare functions of T and are not constant which does not permit the usual simplifications. Thus, the general form of the equation of energy has been written which must be used with the added term for the vapor producing effect of the suspended particle. These equations have been based on laminar flow. If turbulent flow is considered, the values in the equation are for "time-smoothed" quantities to which terms must be added to account for the fluctuations about the "time- smoothed" curves. Applying the energy equation to obtain the differential equation for flow in a round vertical pipe, the z-components only are considered, making simplifying assumptions as follows, neglecting turbulent fluctuations: VD - Vi - 0 V2 not a function of 9 .1 3N2 - 0 V2 is a function of r, but if r is large, Viagconstant and glg - 0 6r 2 Similarly for r and/l, 3&1 -%'_11: - 3;; - 0. Thus, by omitting the inappropriate terms, the energy equation reduces to: 2 _ V; cv(%¥+vzgg)-g€(§wvzz)-kg_;§ T(g¥)P (32—) ‘ gaggéf whereP-p(T) andfl- F”) 31 This second order differential equation would need to be solved for V2 and T2 between the limits of the boundary conditions. However, with the complexities of changing f) andfl, the equation is virtually unsolvable; especially with the vapor producing effect of the particle in suspension. However, the "unsolvability" of the equation is generally implied by reason of the usual requirements for assuming that the density, viscosity, and fluid mass of the system remain constant. As a result, semi-empirical and dimension- al analysis approaches have been taken, e.g. Chilton and Colburn (1934), Kettenring, et al (1950) and Sieder and Tate (1936), to mention but a few researchers in this area. By examination of this equation, several predictions and generalizations can be made: 1) The equation is of second order for both temperature and pressure. 2) The divergence of velocity and temperature play prominent roles in the mathematical description of the process. 3) The addition of the vapor producing effect from a "zero" volume particle is evident and directly influences the effect of the divergence. 4) Turbulent flow, necessitating the addition of terms to account for the fluctuations of velocity and temperature would further complicate the differential equation, 32 The solution of this equation would probably be best carried out using numerical methods or finite difference methods, but will not be pursued further herein. It has been assumed that the particle is in a suspended state with zero velocity. This suggests a terminal velocity, the calculation of which is applicable to non- isometric particles. One such empirical formula for non- spherical, isometric particles results from extensive work by PettyJohn and Christiansen (1948). Stoke's law was modified with an application accuracy of i 2%, as follows: Vt - K (FL - Pk) 8c dp2 (laminar flow) WW where x - 0.843 log $8 , Stoke's law shape factor Application is for isometric particles only with sphericityqbg of not less than 0.60. Sphericity has been found to be a satisfactory criterion of the effect of particle shape on the resistance to motion of particles moving in a fluid. The extent to which it can be applied to non-isometric particles is not known. Under the effect of highly turbulent flows, the following equation (PettyJohn and Christiansen, 1948) can be used with an accuracy of i.‘%° 'Vt -;/Qf‘ do (st"F?f) 8c__ 3 Cr p f c 3000 (Re (200 .000) 33 where Cr - 5.31 - 4.88qbs, the coefficient of resistance dB - spherical diameter (diameter of sphere having the same volume as the particle), cm dp - projected diameter of particle, cm gc - acceleration of gravity, cm/sec2 F} - density of the fluid, g/cc F; - density of the particle, g/cc IL - viscosity of fluid, g/cm sec Vt - terminal velocity of particle (terminal velocity), cm/sec Sphericity is a parameter of considerable interest. It is defined by Love (1959) as follows: qbs -'%¥ (dimensionless) where A - the surface area of an arbitrarily shaped particle Ap - the surface area of a spherical particle having the same volume as the particle of arbitrary shape Since a spherical particle is a body that will provide a given mass with the least surface area, values ofqbg will always be less than unity. By applying the basic geometrical relationships, a more convenient form results: - /3 45' $26511 where V - volume of particle, in3; A - area of particle, 152 34 While the nature of granular particles does not permit direct calculation of sphericity because of dimensions and uneveness of surface, sphericity of flakes, e.g. alfalfa leaves, is obtainable directly from measurements. Pressure drop tests and displacement determinations are used to obtainCDg for granules. No information is available for alfalfa leaves, especially as sphericity may be affected by a progressive change in moisture content. linimum fluid voidage,é m1, is of particular interest because of the relationship of the overall space requirements for a process. The leastE m1 expected can be calculated from the relation as follows: Gmf - 0-005 up“ Be P: (9. — P1) 32 6.13 (1 - 6M) where on, - fluid mass velocity for minimum fluidization, lb/hr. 1t2 However, this expression is derived for particles with qh. far in excess for that which might be expected for a particle such as a leaf. This seriously limits the value of the above correlation. A generalization is offered by the important observation that “(13. decreases, elf increases. Thus, the population of particles per unit volume is much less dense for a flake than for a sphere. Further, according to Leva, the less spherical the particle, the more interstitial space will be required to permit 35 motion. The diameter of a particle such as a leaf is far beyond that which is referred to in the literature for which the voidage emf can be predicted. Fluidization in the classical sense begins with a fixed bed and gradual increase in the flow rate of fluid until the particles become fluidized. It is questionable whether a fluidized state can be induced from a fixed bed of particles of the characteristics of alfalfa leaves with~ out some means of agitation. Thus, it appears that the particles must enter the fluidizing vessel in a suspended state. Prediction of the point of incipient fluidization is based on the relationships as presented; but for flake particles these relations have been found to be unreliable and beyond the range of the published research results to date. 36 STATEIENT OF THE PROBLEI The general objective of this research is to determine the design parameters and supporting information for a continuous drying process for alfalfa leaves which is ful- filled by fluidization drying principles. Since these prin- ciples are well established insofar as the behavior of particles and the mechanics of heat and mass transfer for non-biologicals, the specific objectives will be oriented to biological applications. Several aspects will be investi- gated for which initial determinations will be made as follows: 1. To determine the tolerance and susceptibility to damage of alfalfa plant parts exposed to air flows at high temperatures. 2. To determine the drying rates of alfalfa leaves at high temperatures incidental to the damage point deter- mination. 3. To determine the behavior of alfalfa plant parts in vertical hot air streams as the plant part loses water. 4. To determine the air velocity divergence require- ments in a model drying tower which might also provide the required drying time for an arbitrary drying stage. 37 5. To indicate possible cultural practices and plant physiological factors which relate to the mass transfer of plant held water, and how these may affect the drying process. 38 PRELIIINARY INVESTIGATIONS An evaluation of the fluidized bed drying process for any arbitrary material must be preceded by a knowledge of its physical characteristics. Specifically, the dimensions and physical phenomena associated with forage must be considered as a prelude to such a study. Forage Plant Selection Two types of plants are in common usage for dried forage former-grasses and legumes. Neither plant type in a basally severed, unaltered form can be considered as capable of being fluidized in the normal sense. To approach some semblance of becoming fluidized, grasses would need to be chopped finely, still with some degree of non-homogeneity between the chapped stem and leaf blade. Similarly, even greater non-homogeneity is encountered when considering the various parts of a trifoliated plant because the stems constitute one half of the weight. After consideration of the relative merits and value of the various plants and their parts, the broad leaf has been chosen to most nearly approach acceptability for this drying process study. Any plant part, were it chopped or ground finely enough, might be fluidized provided that the adverse affects of 39 juicing and subsequent agglomeration of particles could be overcome. Kennet (1950) was seriously handicapped because of his inability to overcome this difficulty. Be partially negated this effect by feeding back dried material. There are several legumes which are commonly grown for dried forage of which a few are: alfalfa, clovers (white, red, ladino), lespedeza and birdsfoot trefoil. Of these, alfalfa is of the most economic importance, and was selected as the main object of study. Leaf sizes vary considerably on any given alfalfa plant with a leaf weight ratio (maximum: minimum sized leaves) usually greater than 3:1. An arbitrary classi- fication of leaf size was made, based largely on visual inspection as to population on the plant. Only plants in the pro-bloom to 10% bloom stage were considered to reduce the effects of culture and plant oriented variables. DuPuits variety of alfalfa was selected because of the seedling vigor and quick recovery after cutting. Also, birdsfoot trefoil, which has smaller leaves with a maximum leaf weight ratio of about 1.5:1, was also used because of the miniaturization required for small bore pilot studies. Figure 4A illustrates an alfalfa plant with widely varying sizes of leaves in which the saw tooth edge of the leaf can be seen easily; Figure 4B shows 1 in. diameter Figure 4. 4O Alfalfa And Birdsfoot Trefoil Leaves Figure 5. Dried Birdsfoot Trefoil Leaves 41 leaf disks made with a conventional paper punch. This size of flake particle was found to be most compatible with small bore column drying, however, because of the difficulties in producing large quantities of these small disks, it was decided to use birdsfoot trefoil leaves. Figure 4C illustrates typical trefoil showing smooth edges on individual leaves and the uniformity in size of leaves growing on the plant stem. Leaves as shown were plucked individually from the plant to exclude the minor stem attachment. This eliminated hair like appendages which were found to interfere with the freedom of particle movement in a small bore column. Plant Part Dimensions The dimensions of various trifoliate plant parts are listed in Table 1 to provide some index of the relative sizes which were considered. The data obtained were for fresh cut, typical plant types; pro-bloom - 10% bloom stage of maturity. Leaf sizes were dependent on a visual select- ion based on the most frequently occurring size range. Tabulated values are the numerical average of ten typical plant parts in each category. The one inch stem section was taken at the midheight of the plant. 42 «so.o aooo.o ao>o~o ooaeos oo~.o woo«.o ao>omo com ooo.o oooo.o success ooouuoaam oo.om on.oo uvo~.o wmooo.o ooo.o Homo.o «assume box «a ou\os as «as .aoa< on naval emu” somd .mmflmsea .essno> seduces .ueeosesn .asw«03 seem sens! ooemssm Immoso o.vo «.mv nooo.o ov~.o mo.o oooo.o ao>oso cusses o.vo o.se nooo.o men.o so.” soon.o ao>omo one m.sv s.me vuso.o Hoao.o nu~.o voso.o ”soothe oooooeaam v.~o e.ge oooo.o oo¢.H~no.o vo.HoH.o moo.uo~o.o Hoaaououmaume v.uo o.~v mooo.o «Hoauuvo.o us.uwm.o «Ho.uovo.o assooauauoous< o.mo e.gv oooo.o ooo.unoo.o oo.uoo.o ooo.uooo.o omaasnoumaos< omxnou «exam as as on m «saw .aoa< .amauooo .uaooaoaoe .on:~o> .moa< .oomeom «one see new oeaoonosm mbmdm b2mno oz_>mo ON mm a o u:—# mozonmm o ow 0n ON 0. 0 mm mahdmmac‘w ._. 10.1I4m oo. om om 0.1. cm .5 R... .I. .m w m S l. m 23 3 m 8... O 2 0 IO N Iq‘nTw ' M 3 93 Theoretically, at time "zero" the percent moisture content at all temperatures should be consistent with that of fresh cut material of approximately 300% d.b. HOwever, as can be seen from the equations of the curves, discrepan- cies are exhibited, possibly due to the effect of the constant ‘ drying rate periods at the higher temperatures. Further analysis of these data in a more conventional way related the logarithm of the moisture content ratio, I — , to the drying time, 0. The regression lines at the - Ie various high temperatures were determined from the data. The equilibrium moisture content, He, was found to rapidly approach zero and was neglected in the calculations of the moisture content ratio. This was permissible as will be shown using data from Bakker-Arkema (1962) to evaluate the constants c and n in equation (2-1) from Hall (1957): l-RH - e'c'l'len From Bakker-Arkema RH -0.9, T - 120°F (580°A), He - 22% d.b. RH -0.8, T - 120°F (580°A), lg - 17% d.b. two equations can be written: 1 - .9 - e-c(580) (22)n —c(530) (17)n the unknown constants can be Thus, 1 - .8 - e Solving simultaneously, solved as follows: 94 c - 0.0000547 n - 1.386 Finally: 1-an - 6'0-0000547Tl61-336 From the psychrometric chart at high temperatures, the relative humidity is seen to rapidly approach zero above 212°F. For example, at a temperature of 250°F, the relative humidity was extrapolated at .001. Solving for Me in the final expression: 1_.001 _ .999 _ e-o.0000547(710) 261-386 Figure 21 shows the family of regression lines for the various drying temperatures. As before, the curves fail to intercept the Y axis at the expected common initial moisture content ratio M - Mg - 1. lo - Me A tabulation of the equation of the curves is as follows: TABLE 4. MOISTURE CONTENT RATIO, TIME, AND TEMPERATURE RELATIONSHIPS Moisture Content St d d Drying Ratio _ an ar Temperatures M - !§ - Be k9 Deviation ’1 lo - lo izcr 1.469e-050335’ 0.468 236 1.8476'0-0439 0.694 311 4.284e'0-0659 0.911 379 11.3599-0-1199 0.776 455 4.7126'0-1359 0.455 515 22.8740-0’4246 0.943 524 36.966e‘0-3909 0.579 570 8.2486’0-3109 0.382 640 11.5886‘0-4fgg 0.321 661 3.289e'0’3 0.336 761 1.6006‘0-3099 0.821 819 1.5156‘0-3366 0.448 95 I. ‘ .80. .70. .401 M-M .06- .05' (‘ 28I° ”03. 52491 “155° 379° 3II°/‘ 295. MOISTURE CONTENT RATIO, 0 I0 2'0 3'0 40 5'0 6'0 70 86 90 I00 TIME,9.SEc0NDs FIGURE 2| RELATION OF MOISTURE CONTENT RATIO TO TIME FOR DRYING ALFALFA LEAVES AT ULTRA-HIGH TEMPERATURES 96 A semi-log plot of the drying constant, k, reveals the relationship shown in Figure 22. The logarithm of the drying constant, k, was plotted versus the temperature, T, as a straight line up to 524°F. This corresponds to the temperature at which drying occurred without visible charring shown in Figure 19. At higher temperatures, charring occurred at the perimeter of the leaf while the center area was at a much higher mOisture content. It can be seen that k remains at a nearly constant level, although much more experimentation is required to verify the various implications of these preliminary results. The equation of the curve from 281°F to 524°F has been determined as follows: k - 0.002660-0097T This relationship can be substituted into a general expression relating the three variables: a _ u _ Be-O.0026900-0097T uo-ue Further analysis is not attempted here because of the limitations of the data available, and the deviation from the basic objective of the experiment design. However, the results are interesting and worthy of note at this point in the dissertation. DRYING CONSTANT , k 97 .401 .30. CHAR DAMAGE OCCURS BEFORE DRYING IS COMPLETE AT TEMPS. ABOVE 500° F .I04 .09‘ =0.0026 e0.0097 T .07‘ .09 ed .04‘ 300 400 500 600 700 800 TEMPERATURE ,T, °F FIGURE 22 RELATIONSHIP OF DRYING CONSTANTS TO AIR TEMPERATURE FOR ALFALFA LEAVES 98 Sphericity-Moisture Content Relationships The basic relationships involving the mass rate of flow for fluidization, Gm, voidage,E mf, and particle diameters, . Dp are dependent on the sphericity,qbs, of the particle. This parameter is usually unavailable for flake particles, seriously limiting use of the equations which allow deter- mination of the mass velocity at the onset of fluidization. Equally important is the variation in sphericity as the parti- cle decreases in moisture content, possibly with reduced physical characteristics. In the design of the process stages this becomes of primary concern. This phase of the research has been devoted to the investigation of the sphe- ricity parameter. Classification of leaves was as stated in the preliminary investigations. Values of sphericity for large, medium, and small alfalfa as well as birdsfoot trefoil, were determined according to the procedure previously described. These were plotted on cartesian coordinates with moisture content as the abscissa shown in Figure 23. Considerable scatter of the data was prevalent, but statistical analysis permitted determination of the regression lines. The equations of the curves are tabulated as follows: 99 TABLE 5. SPHERICITY RELATIONSHIPS FOR LEAVES AT VARIABLE 'IOISTURE CONTENTS , f§tandard Leaf Classification Sphericity, Deviation, and type (tbs - mQ.C.) + b :0” I Large alfalfa 0.0000753(M.C.) +.1025 0.0081 Medium alfalfa 0.0000631(M.C.) +.1055 0.0109 Small alfalfa 0.0001305(M.C.) +.1637 0.0314 Birdsfoot trefoil 0.00001 (M.C.) +.1799 0.0215 When considering the magnitudes of the coefficient m, it can be shown that the influence of the moisture content is minor (less than 20%). This influence of itself would have little effect on the process, and the sphericity might be considered nearly constant over the entire moisture con- tent range. An error analysis of the experimental techniques has been made pointing out certain limitations of the experi- mental technique. The accuracies of the apparatus were such that the volume of the leaf could be determined to 10.001 ml and the area to iO-005 in2. However, because of the natural shrinkage of the leaf, the volumes and areas decreased substantially such that the percentage of error increased sharply as the leaf lost moisture content. Also, when con— sidering the large differential between the sizes of small and large alfalfa leaves, the accuracies were influenced in- favor of the larger objects. 100 am“: FZUPZOU MEDPQOZ o\o mama“; PGEMImm MN szoC 3.3. 2;. 23.200 Enema: .\. OON 00. a 1 A 00m _ _ soon 30. .+ 8.3 3880.. me $343 <55: woman mo.o.ammo..+l.u.zv fiooooo. . we 83m... f a con- tinuous process for the flash drying and grinding of alfalfa. Thesis for degree of M.S., Michigan State Univ., East Lansing (Unpublished). Bailie, R. C., L. T. Fan and J. J. Stewart (1961). Insta- bility of fluidized beds. Jour. of Chem. and Eng. Data 6 (3):469-473. Bakker-Arkema, F. W., C. W. Hall and E. J. Benne (1962). Equilibrium moisture content of alfalfa. Quarterly Bulletin, Mich. Agr. Expt. Sta., Michigan State Univ., East Lansing 44 (3):492-496. Barger, E. L. (1945). Mechanization of sumac leaf harvest- ing and processing. Agr. Eng. 26 (6):243—245. Barington, R. D., P. W. Davis and H. S. Wilgus (1952). Conservation of sugar beet tops by dehydration. Colorado Agr. Exp. Sta. Toch. 801. 47, 19 pp. Bennett, C. A. and F. L. Gerdes (1941). The vertical drier for seed cotton. Misc. Pub. No. 239, USDA, Washington, D.C. 32 pp. Bhan, A. K. (1959). 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Eng. 17 (8):329-330. 119 APPENDICES 120 APPENDIX A TABLE A-l. SUMMARY OF DAMAGE POINT AND DRYING DATA FOR SINGLE ALFALFA LEAVES - TEMPERATURE 281°F. Leaf Initial M.C. Final M.C. M -Me % H20 Time, No. % d.b. % d.b. H3:i3 removed seconds 1 213.2 171.9 0.8063 19.4 10 2 194.2 147.1 0.7575 24.3 15 3 133.7 97.0 0.7255 27.5 17 4 215.8 131.6 0.6098 39.0 20 5 191.3 136.4 0.7130 28.7 22 6 277.5 170.6 0.6148 38.5 25 7 243.6 299.7 0.9429 46.3 27 8 310.3 217.2 0.6999 30.0 30 9 192.5 95.5 0.4961 50.4 32 10 310.1 195.3 0.6298 37.0 35 11 192.8 88.8 0.4606 53.9 37 12 114.9 37.4 0.3255 67.4 40 13 208.6 86.7 0.4156 58.4 42 14 211.5 77.0 0.3641 63.6 45 15 263.1 113.9 0.4329 56.7 47 16 174.5 44.1 0.2527 74.7 50 17 158.7 28.9 0.1821 81.7 55 18 203.0 36.0 0.1773 82.3 60 19 250.8 64.2 0.2560 73.2 65 20 325.8 100.0 0.3069 69.3 70 21 312.3 84.4 0.2703 72.9 75 22 176.4 31.9 0.1808 87.9 80 23 185.0 55.0 0.2973 70.3 85 24 166.7 12.8 0.0768 92.3 90 25 199.4 19.8 0.0993 90.0 95 26 183.0 4.1 0.0224 ,97.7 100 27 238.2 3.5 0.0147 98.5 105 28 247.2 0.0 0.0 100.0 110 Date: 7/28/62 Stage of Maturity: Pro-bloom, Air Velocity: 58 fpm 0 80°F 2nd cutting Rotation; 40 rpm Equilibrium m.c.: He 9 0 No discoloration 121 TABLE A-2. SUMMARY OF DAMAGE POINT AND DRYING DATA FOR SINGLE ALFALFA LEAVES - TEMPERATURE 296°F. Leaf Initial M.C. Final M.C. M - % H20 Time, No. % d.b. % d.b. 33:53 removed seconds 1 218.7 128.0 0.5853 41.5 20 2 255.7 166.0 0.6492 35.0 25 3 227.1 113.1 0.4980 50.2 30 4 263.9 98.8 0.3739 62.6 35 5 234.4 90.6 0.3865 61.3 40 6 179.3 76.7 0.4278 57.2 45 7 274.4 40.7 0.1483 85.2 50 8 259.2 54.1 0.2087 79.1 55 9 167.5 11.4 0.0681 93.2 60 10 238.6 16.9 0.0708 92.9 65 11 223.4 47.8 0.2140 78.6 70 12 236.5 36.5 0.1543 84.6 75 13 188.3 4.7 0.0250 97.5 80 14 311.8 22.6 0.0725 92.8 85 15 230.0 40.6 0.1765 82.4 85 16 226.3 0 0.0000 100.0 90 17 287.8 2.4 0.0083 99.2 95 18 247.3 7.6 0.0307 96.9 92 19 318.1 0 0.0000 100.0 92 Date: 7/31/62 Stage of Maturity: Dre-bloom, Air velocity: Rotation: 58 fps 080°F 40 rpm 2nd cutting Equilibrium m.c., Me an 0 No discoloration 122 TABLE A-3. SUMMARY OF DAMAGE POINT AND DRYING DATA FOR SINGLE ALFALFA LEAVES - TEMPERATURE 311’F. Leaf Initial M.C. Final M.C. M - % BIO Time No. % d.b. % d.b. i332: remoged seconds 1 235.9 159.8 0.6774 32.2 20 2 135.5 74.5 0.5498 45.0 25 3 188.3 67.0 0.3558 64.4 30 4 179.5 89.4 0.4981 50.2 35 5 175.2 50.4 0.2877 71.2 40 6 169.9 58.8 0.3461 65.4 45 7 164.6 22.9 0.1391 86.1 50 8 180.7 27.1 0.1500 85.0 60 9 184.8 63.6 0.3442 65.6 55 10 244.4 82.5 0.3580 66.2 65 11 206.3 7.8 0.0378 96.2 70 12 219.8 1.0 0.0045 99.5 90 13 248.6 13.1 0.0527 94.7 75 14 186.7 0.9 0.0048 99.8 80 15 165.8 2.0 0.0121 98.8 82 16 243.6 10.7 0.0439 95.6 85 17 342.2 13.2 0.0386 96.1 90 18 347.5 0.0 0.0000 100.0 95 19 219.5 0.0 0.0000 100.0 100 20 188.9 0.7 0.0037 99.7 105 21 252.1 3.1 0.0123 98.8 90 22 234.0 2.1 0.0090 99.1 95 23 210.9 0.0 0.0000 100.0 100 Date: 7/31/62 Stage of Maturity: Pro-bloom, 2nd cutting Equilibrium m.c., Mesa 0 No discoloration Air Velocity: 58 fpm @ 80°F Rotation: 40 rpm 123 TABLE A-4. SUIIARY OR DAMAGE POINT AND DRYING DATA FOR SINGLE ALFALFA LEAVES - TEMPERATURE 379?. Leaf Initial M.C. Final M.C. M - % 820 Time No. % d.b. % d.b. M;:%: removed seconds 1 219.5 125.8 0.5731 42.7 20 2 188.9 87.7 0.4643 53.9 25 3 204.1 86.3 0.4228 57.7 30 4 157.1 23.3 0.1483 85.2 35 5 198.3 52.3 0.2637 73.6 40 6 174.8 11.7 0.0669 93.3 45 7 267.9 5.1 0.0190 98.1 50 8 318.2 5.7 0.0179 98.2 55 9 278.7 0 0.0000 100.0 ' 60 10 311.5 0 0.0000 100.0 65 11 268.6 5.9 0.0220 97.8 55 12 168.1 1.1 0.0065 99.4 57 13 237.3 5.9 0.0249 97.5 60 14 139.9 4.7 0.0336 97.7 60 15 130.5 1.7 0.0130 98.7 60 16 135.7 0.8 0.0057 99.4 60 17 169.3 0.0 0.0000 100.0 65 18 141.2 0.7 0.0050 99.5 62 19 215.9 108.4 0.5020 49.8 20 20 196.0 96.8 0.3893 50.6 25 21 168.2 75.4 0.4483 55.1 30 22 237.6 75.2 0.3165 68.3 35 23 233.3 57.1 0.2447 75.5 40 24 218.5 18.5 0.0847 91.5 45 25 216.7 3.1 0.0143 98.6 50 26 215.2 4.3 0.0200 98.0 55 27 211.4 1.9 0.0090 99.1 60 28 243.9 0.4 0.0016 99.6 62 Date: 8/1/62 Stage of Maturity: 10% bloom, Air Velocity: 45 fpm @ 80°F 2nd cut Rotation: 40 rpm Equilibrium m.c. , IIe ~ 0 No discoloration TABLE A-5. SUMMARY OR DAMAGE POINT AND DRYING DATA FOR SINGLE ALIALFA LEAVES - TEMPERATURE 455°F. Leaf Initial M.C. Final M.C. M - % 820 Time No. % d.b. % d.b. i3:%§ removed seconds 1 280.4 164.9 0.5881 41.2 10 2 310.6 156.5 0.5042 49.6 15 3 245.9 69.7 0.2834 71.6 20 4 246.2 77.3 0.3140 68.6 22 5 259.8 14.5 0.0751 92.5 25 6 222.7 13.6 0.0611 93.9 27* 7 225.6 11.1 0.0492 95.1 27* 8 268.2 9.4 0.0350 96.5 27 9 277.7 8.5 0.0306 96.9 27 10 285.2 0 0.0000 100.0 30* 11 305.6 0 0.0000 100.0 30* 12 312.1 173.6 0.5562 44.4 10 13 271.4 122.4 0.4510 54.9 15 14 265.5 44.0 0.1657 83.4 20 15 196.3 16.0 0.0815 91.8 25 16 282.7 10.7 0.0385 96.2 27* 17 251.4 0 0.0000 100.0 30* Date: 8/4/62 Stage of Maturity: 10% bloom, Air Velocity: Rotation: 40 45 fpm @ 85°F 2nd cut rpm Equilibrium m.c. , Me is 0 *Discoloration-brown edge TABLE A-6. SUMMARY OP DAMAGE POINT AND DRYING DATA FOR SINGLE ALFALFA LEAVES - TEMPERATURE 515°P. Leaf Initial M.C. Final M.C. M -!g % H20 Time, No. % d.b. % d.b. Mb-Me removed seconds 1 276.6 64.9 0.2346 76.5 10 2 324.1 10.3 0.0318 96.8 15 3 311.3 1.6 0.0051 99.4 20 4 271.0 104.3 0.3849 61.5 10 5 255.8 34.9 0.1364 86.4 15 6 342.8 0 0.0000 100.0 20* 7 302.2 4.5‘ 0.0149 98.5 17 8 275.0 3.1 0.0113 98.9 18 9 264.2 1.5 0.0057 99.4 20* 10 337.2 2.3 0.0068 99.3 19 11 292.0 2.0 0.0068 99.3 19* 12 264.5 12.9 0.0488 95.1 16 13 283.9 33.3 0.1173 88.3 16 Stage of Maturity: Pre-bloom, 2nd cut Equilibrium m.c. , Men: 0 *Discoloration« brown edges Date: 7/27/62 Air Velocity: 58 fpm 0 80°F Rotation: 40 rpm 126 TABLE A-7. SUMMARY OF DAMAGE POINT AND DRYING DATA FOR SINGLE ALFALFA LEAVES - TEMPERATURE 524°F. Leaf Initial M.C. Final M C M -!fi % H20 Time, No. % d.b. % d.b Mo-Me removed seconds 1 340.2 146.4 0.4303 57.0 10 2 322.1 142.1 0.4412 55.9 11 3 308.3 98.6 0.3198 68.0 12 4 331.7 115.8 0.3491 65.1 13 5 328.8 57.6 0.1752 82.5 14 6 318.2 56.8 0.1785 82.1 15 7 303.4 44.8 0.1477 85.2 16* 8 320.8 16.7 0.0521 94.8 17 9 307.2 20.3 0.0661 93.4 18* 10 319.7 3.3 0.0103 98.9 18* 11 275.3 5.2 0.0189 98.1 19* 12 319.6 5.4 0.0169 98.3 19* Date: 8/4/62 Stage of Maturity: 10% bloom, Air Velocity: 45 fps 0 85°F 2nd cut Rotation: 40 rpm Equilibrium m.c., MON 0 1'*Discoloration--brown tip, edge 127 TABLE A-8. SUMMARY OF DAMAGE POINT AND DRYING DATA FOR SINGLE ALFALFA LEAVES - TEMPERATURE 570°F. Leaf Initial M.C. Final M.C. M ~M§ % H20 Time, No. % d.b. % d.b. M'o-Me removed seconds 1 289.1 79.5 0.2750 72.0 10 2 315.7 61.4 0.1945 80.5 11 3 381.8 122.7 0.3214 67.9 12 4 353.7 75.6 0.2137 78.6 13 5 349.3 54.8 0.1569 84.3 14* 6 350.8 18.6 0.0530 94.7 15* 7 312.9 28.6 0.0914 90.9 14* Date: 8/4/62 Stage of Maturity: 10% bloom, Air Velocity: 45 fpm 0 80°F 2nd cut Rotation: 40 rpm Equilibrium m.c. , Me an 0 *Discoloration-brown edges TABLE A-9. SUMMARY OF DAMAGE POINT AND DRYING DATA FOR SINGLE ALFALFA LEAVES - TEMPERATURE 640°F. Leaf Initial M.C. Final M.C. M - % 820 Time, No. % d.b. % d.b. Mb-Eg removed seconds 1 298.1 203.8 0.6837 31.6 5 2 331.0 207.0 0.6254 37.5 6 3 284.8 153.8 0.5400 46.0 7 4 306.4 119.4 0.3897 61.6 8 5 374.6 103.2 0.2755 72.4 9 6 244.9 46.1 0.1882 81.2 10* 7 267.1 35.6 0.1333 86.7 10* 8 267.5 58.4 0.2183 78.2 10* 9 328.1 101.0 0.3078 69.2 9* 10 308.5 101.9 0.3303 67.0 9* 11 331.3 91.3 0.2756 72.5 9* 12 292.8 85.7 0.2927 70.7 9* Date: 8/5/62 Stage of Maturity: 10% bloom, Air Velocity: Rotation: 40 2nd cut Equilibrium m.c., Me‘s 0 *Discoloration-black edges 45 fpm 0 85°F rpm TABLE Ar10. SUMMARY OF DAMAGE POINT AND DRYING DATA 128 FOR SINGLE ALFALFA LEAVES - TEMPERATURE 661°F. Leaf Initial M.C. Final M.C. M - % H20 Time NO. % d.b. % d.b. M33M§ removed seconds 1 308.0 144.0 0.4675 53.2 5 2 283.1 107.8 0.3808 62.9 6 3 321.8 111.5 0.3465 65.3 7 4 300.0 101.1 0.3370 66.3 8* 5 252.8' 46.1 0.1824 81.8 9* 6 289.9 65.2 0.2249 77.5 8* 7 289.2 66.2 0.2289 77.1 8* 8 313.7 102.7 0.3274 67.2 8* Date: 8/5/62 Stage of Maturity: Pre-bloom, Air Velocity: 45 fpm 0 85°F 2nd out Rotation: 40 rpm Equilibrium m.c., M94» 0 *Discoloration-black tips TABLE A-ll. SUMMARY OF DAMAGE POINT AND DRYING DATA FOR SINGLE ALFALFA LEAVES - TEMPERATURE 761°F. Leaf Initial M.C. Final M.C M ~M§ % H20 Time, No. % d.b. % d.b. Mo-Me - removed seconds 1 335.2 282.4 0.8425 15.8 2 2 283.3 179.4 0.6333 36.7 3 3 400.0 134.2 0.3355 66.4 4: 4 350.0 215.3 0.6151 38.5 4* 5 318.6 128.6 0.4036 59.6 4* 6 339.4 157.6 0.4644 53.6 5* 7 297.7 “71.0 0.2385 76.0 5* 8 295.9 136.5 0.4613 53.9 4* 9 313.8 184.6 0.5883 41.2 4: Date: 8/5/62 Stage of Maturity: Pro-bloom, Air Velocity: 45 fpm 0 85°F 40 rpm Rotation: 2nd cut Equilibrium m.c., Me‘v 0 *Discoloration-black edge 129 TABLE A-12. SUMMARY OF DAMAGE POINT AND DRYING DATA FOR SINGLE ALFALFA LEAVES - TEMPERATURE 819°F. Leaf Initial M.C. Final M.C. M -Me % H20 Time, No. % d.b. % d.b. Mo-Me removed seconds 1 296.0 205.3 0.6936 30.6 2 2 330.1 220.4 0.6677 33.2 3* 3 359.6 184.2 0.5122 48.8 3* 4 320.0 36.0 0.2688 73.1 4* 5 208.5 107.3 0.5146 48.5 4* 6 361.8 240.4 0.6645 33.5 3* 7 340.0 173.3 0.5097 49.0 3* Date: 8/5/62 Stage of Maturity: Pre-bloom, Air Velocity: Rotation: 45 fpm @ 85°F 40 rpm 2nd cut Equilibrium m.c. , Me nu 0 *Discoloration-black edge 130 APPENDIX B TABLE A-13. SUMMARY OF SPHERICITY-MOISTURE CONTENT DATA, LARGE ALFALFA LEAVES Total Leaf Vbl. surfacg area Sphzgicity Moisture No m.1. in 8 content Density_ 1a 0.067 0.934 0.133 359.8 0.906 b 0.058 0.934 0.121 280.3 0.866 c 0.051 0.820 0.127 200.8 0.778 d 0.018 0.566 0.092 0 0.733 2a 0.076 1.094 0.124 287.0 0.784 b 0.067 1.094 0.114 251.3 0.807 c 0.055 0.900 0.122 194.8 0.825 d 0.023 0.626 0.098 0 0.670 3a 0.068 0.986 0.128 346.8 0.913 b 0.062 0.934 0.127 284.2 0.861 c 0.046 0.766 0.127 192.8 0.885 , d 0.018 0.434 0.120 0 0.772 4a 0.074 1.100 0.121 341.3 0.853 b 0.063 1.040 0.115 261.5 0.821 c 0.047 0.886 0.111 169.2 0.819 d 0.022 0.606 0.098 0 0.650 5a 0.064 1.066 0.115 350.8 0.902 b 0.054 0.946 0.114 242.2 0.811 c 0.037 0.706 0.119 113.3 0.738 d 0.018 0.560 0.093 O 0.711 6a 0.071 0.980 0.132 316.0 0.879 b 0.065 0.854 0.143 281.3 0.880 c 0.052 0.906 0.116 192.0 0.842 d 0.020 0.546 0.102 0 0.750 7a 0.069 1.074 0.118 336.2 0.872 b 0.062 0.946 0.125 271.7 0.827 c 0.050 0.886 0.116 89.9 0.800 d 0.020 0.586 0.095 0 0.690 8a 0.072 1.066 0.122 313.8 0.914 b 0.062 0.934 0.127 240.2 0.873 c 0.051 0.820 0.127 157.9 0.804 d 0.022 0.580 0.102 0 0.723 9a 0.065 0.960 0.127 344.4 0.862 b 0.056 0.906 0.122 286.5 0.870 c 0.041 0.754 0.119 151.6 0.773 d 0.017 0.534 0.094 0 0.741 10a 0.055 0.874 0.126 298.4 0.884 b 0.048 0.806 0.124 245.1 0.877 c 0.030 0.654 0.112 137.7 0.967 d 0.017 0.460 0.109 0 0.718 131 TABLE A-13 (Cont.) Date: 9/12/63 Ave. Volume, Fresh cut, Vw ' Stage of Maturity: Pre-bloom, 0.071 ml. 3rd cut Ave. Velume, Dried, Vd - 0.020 ml. Shrinkage, 3g - 0.28 Vw TABLE A-14. SUMMARY OF SPHERICITY-MOISTURE CONTENT DATA, MEDIUM ALFALFA LEAVES Total Leaf Vbl. surfacg area Sphe icity Moisture No m.1. in 95s content Density_ 1a 0.038 0.78 0.1096 291.5 0.845 b 0.030 0.70 0.1046 198.7 0.817 c 0.019 0.56 0.0961 90.2 0.821 d 0.012 0.42 0.0941 3.7 0.708 o 0.012 0.42 0.0941 2.4 0.700 2a 0.040 0.70 0.1258 246.0 0.883 b 0.030 0.58 0.1257 181.4 0.1060 c 0.027 0.54 0.1257 153.1 0.1059 d 0.026 0.52 0.1274 109.7 0.912 e 0.014 0.44 0.0996 19.4 0.964 3a 0.039 0.72 0.1204 180.8 0.864 b 0.025 0.56 0.1231 110.0 1.008 c 0.018 0.50 0.1161 65.8 1.106 d 0.018 0.44 0.1328 19.2 0.794 e 0.012 0.40 0.0987 0.0 1.000 4a 0.035 0.60 0.1350 277.2 0.851 b 0.027 0.54 0.1258 172.1 0.796 c 0.022 0.48 0.1241 118.9 0.786 d 0.018 0.44 0.1328 62.0 0.711 e 0.011 0.36 0.1035 11.4 0.782 5a 0.046 0.88 0.1106 402.3 0.939 b 0.039 0.72 0.1212 296.5 0.874 c 0.031 0.64 0.1166 222.1 0.894 .d 0.023 0.58 0.1060 111.6 0.791 e 0.010 0.46 0.0770 0.0 0.860 6a 0.037 0.72 0.1114 254.1 1.043 b 0.026 0.62 0.1073 109.2 0.876 c 0.020 0.48 0.1165 55.9 0.850 d 0.017 0.46 0.1094 21.8 0.759 e 0.016 0.46 0.1049 0.0 0.681 7a 0.046 0.84 0.1158 236.0 0.907 b 0.038 0.74 0.1153 183.9 0.926 c 0.033 0.64 0.1218 147.6 0.930 d 0.025 0.62 0.1046 89.5 0.940 e 0.014 0.50 0.0870 0.0 0.885 132 TABLE A-14 (Cont.) 8a 0.042 0.82 0.1114 203.0 0.959 b 0.035 0.70 0.1153 157.9 0.980 c 0.030 0.66 0.1108 124.8 0.996 d 0.027 0.62 0.1099 81.9 0.896 e 0.016 0.54 0.0888 0.0 0.831 9a 0.034 0.66 0.1204 245.3 0.965 b 0.027 0.52 0.1317 133.7 0.822 c 0.019 0.44 0.1228 72.6 0.863 d 0.016 0.42 0.1147 20.0 0.712 e 0.011 0.36 0.1035 0.0 0.863 10a 0.047 0.74 0.1337 184.3 0.847 b 0.040 0.70 0.1258 159.3 0.907 c 0.032 0.68 0.1122 120.0 0.963 d 0.027 0.60 0.1135 45.7 0.888 e 0.016 0.48 0.1006 0.0 0.875 Date: 8/16/63 Ave. Vblume, Fresh cut, Vw Stage of Maturity: Pre-bloom, 0.038 ml. 3rd cut Ave. Vblume, Dried, Vd - 0.013 ml. Shrinkage, Ed - 0.33 Vi TABLE A-15. SUMMARY OF SPHERICITY-MOISTURE CONTENT DATA, SMALL ALFALFA LEAVES ITEtal Leaf Vol. surfacg area Sphgsicity Moisture No m.1. in 8 ‘__content Density; 1a 0.020 0.314 0.178 272.0 0.930 b 0.017 0.294 0.171 234.0 0.982 c 0.010 0.240 0.147 104.0 1.02 d 0.007 0.186 0.150 0.0 0.714 2a 0.028 0.374 0.186 238.4 0.882 b 0.021 0.380 0.151 212.3 1.09 c 0.010 0.374 0.093 101.4 1.47 d 0.009 0.294 0.112 0.0 0.811 3a 0.023 0.320 0.189 242.6 0.909 b 0.022 0.300 0.196 209.8 0.859 c 0.016 0.300 0.159 80.3 0.688 d 0.008 0.214 0.141 0.0 0.763 133 TABLE A-15 (Cont.) 4a 0.020 0.260 0.215 264.7 0.930 b 0.015 0.254 0.182 225.5 1.107 c 0.009 0.260 0.127 127.5 1.289 d 0.008 0.194 0.155 0.0 0.638 5a 0.019 0.274 0.197 215.6 0.747 b 0.017 0.274 0.183 173.3 0.724 c 0.012 0.272 0.145 55.6 0.583 d 0.010 0.214 0.163 0.0 0.450 6a 0.022 0.274 0.217 314.3 0.659 b 0.020 0.266 0.208 228.6 0.575 c 0.016 0.240 0.201 42.9 0.313 d 0.007 0.174 0.158 0.0 0.500 7a 0.023 0.240 0.255 290.9 0.748 b 0.019 0.246 0.221 218.2 0.736 c 0.015 0.226 0.206 88.6 0.553 d 0.006 0.174 0.143 0.0 0.733 8s 0.027 0.340 0.199 284.4 0.911 b 0.025 0.314 0.208 228.1 0.840 c 0.025 0.312 0.208 123.4 0.572 d 0.008 0.226 0.135 0.0 0.800 9a 0.020 0.320 0.173 251.8 0.985 b 0.019 0.294 0.184 185.7 0.842 c 0.018 0.294 0.178 78.6 0.555 d 0.008 0.180 0.168 0.0 0.700 10a 0.025 0.300 0.214 290.0 0.796 b 0.022 0.280 0.213 260.0 0.918 c 0.018 0.290 0.181 126.0 0.628 d 0.009 0.174 0.187 0.0 0.555 Date: 9/13/63 Ave. Volume, Fresh cut, V. - Stage of Maturity: Pre-bloom, 0.023 ml. 3rd cut Ave. Vblume, Dried, Va - 0.008 ml. Shrinkage, $§ - 0.35 w 134 TABLE Ar16. SUMMARY OF SPHERICITY-MOISTURE CONTENT DATA, BIRDSFOOT TREFOIL . Total Leaf Vol. surfacg area Sphericity Moisture No. II. 1. in $8 content Densim 1a 0.026 0.320 0.207 387.5 0.900 b 0.023 0.294 0.207 322.9 0.812 c 0.020 0.254 0.205 218.8 0.765 d 0.018 0.240 0.217 100.0 0.533 e 0.012 0.186 0.213 8.3 0.433 f 0.010 0.180 0.195 0.0 0.480 2a 0.028 0.360 0.193 373.7 0.964 b 0.023 0.336 0.182 235.1 0.830 c 0.020 0.334 0.167 133.3 0.665 d 0.018 0.280 0.186 54.4 0.489 e 0.015 0.240 0.192 0.0 0.380 f 0.011 0.226 0.165 0.0 0.518 3a 0.017 0.260 0.192 377.1 0.982 b 0.014 0.260 0.168 294.3 0.986 c 0.014 0.254 0.172 228.6 0.821 d 0.013 0.186 0.224 82.9 0.492 e 0.010 0.166 0.211 2.9 0.360 f 0.009 0.160 0.205 0.0 0.389 4a 0.020 0.386 0.144 358.7 1.055 b 0.018 0.354 0.147 223.9 0.827 c 0.016 0.306 0.157 106.5 0.594 d 0.013 0.246 0.170 28.3 0.454 e 0.010 0.234 0.150 0.0 0.460 f 0.009 0.226 0.145 0.0 0.511 5a 0.024 0.294 0.213 300.0 0.800 b 0.022 0.286 0.208 245.8 0.755 c 0.020 0.286 0.195 204.2 0.730 d 0.018 0.274 0.190 143.8 0.650 e 0.012 0.220 0.180 35.4 0.542 f 0.011 0.200 0.187 0.0 0.436 6a 0.023 0.386 0.158 395.2 0.904 b 0.021 0.340 0.169 316.7 0.833 c 0.019 0.326 0.165 231.0 0.731 d 0.016 0.280 0.172 69.0 0.444 e 0.014 0.214 0.205 2.4 0.307 f 0.014 0.206 0.213, 0.0 0.300 7a 0.025 0.320 0.202 395.5 0.872 b 0.021 0.300 0.192 334.1 0.909 c 0.019 0.240 0.225 270.5 0.858 d 0.013 0.226 0.185 143.2 0.823 9 0.008 0.220 0.138 18.2 0.650 f 0.007 0.160 0.185 0.0 0.628 135 TABLE A-16 (Cont.) 8a 0.028 0.420 0.166 310.9 0.939 b 0.024 0.354 0.177 259.4 0.958 c 0.021 0.346 0.166 215.6 0.962 d 0.018 0.340 0.153 157.8 0.917 e 0.015 0.286 0.161 62.5 0.693 f 0.010 0.226 0.155 0.0 0.640 9a 0.021 0.326 0.176 362.7 1.124 b 0.020 0.306 0.182 311.8 1.050 c 0.016 0.274 0.176 352.9 1.125 d 0.014 0.260 0.181 170.6 0.986 e 0.012 0.242 0.164 54.9 0.658 f 0.010 0.226 0.155 0.0 0.510 10a 0.024 0.340 0.185 475.7 0.888 b 0.022 0.326 0.182 391.9 0.827 c 0.017 0.280 0.178 291.9 0.853 d 0.016 0.274 0.175 172.3 0.631 e 0.013 0.220 0.190 32.4 0.377 f 0.009 0.186 0.176 0.0 0.411 Date: 9/9/63 Ave. Velume, Fresh cut, V. - Stage of Maturity: 10% bloom, 0.029 ml. 3rd cut Ave. VOIume, Dried, Vd - 0.01 ml. Shrinkage, 1g - 0.42 Vw 136 APPENDIX C SMOKE POWDER TERMINAL VELOCITY Smoke powder: Norit "A" (activated charcoal) Chemical compound: Carbon Sieve Analysis: Particle 511., Weight Over Mesh Size 3911““ Screen, % 60 0.25 or greater 0.29 140 0.10 or greater 1.97 300 0.05 or greater 16.75 Thru 300 less than 0.05 81.00 Density of air at 212°F, 1% R.H.: F} - 0.06 lb. per cu. ft. Viscosity: 1L - 0.0218 centipoises (Density of particle: £2 - 33.0 lb. per cu. ft. Q - Pf - 33.0 - 0.06 - 32.94 lb. per cu. ft. Diameter of particle -0.05 mm - 0.00197 inches From Figure 28, the terminal velocity Ut can be determined by the following steps of procedure: 1. Start at left hand axis F} - 0.06 .......... ..pt 1 2. Connect with fL- 0.0218 ....... .............. ..pt 2 3. Intercept "a" axis at ......... ........ ... ..... pt 3 4. Also intercept "c" axis at ....................pt 3’ 5. From pt 3 on "a" axis to ( F; - F2) - 32.94 ..pt 4 6. Cross "b" axis at .............................pt 5 7. From pt 5 to particle diameter,Dp - 0.00144....pt 6 137 8. Intersect "d" axis at .............. ........... pt 7 9. Follow pattern to "e" axis at ......... ........pt 8 10. Connect 3' with pt 8, intersect "f" axis at ...pt 9 11. Connect pt 6 with pt 9, intersect Ut at .......pt 10 From this analysis, the terminal velocity Ut - 0.1 fps. This value checks with observed free fall values within 10%. With the small magnitudes in comparison with the velocity of the fluidizing air, this was neglected in the velocity calcu- lations. 138 particle dia., e it I T T I TI WTTTTTTTIT TOT T I I 111 YTITTIWT O . " o. 8 O ngnflITl Irntn —' O O _'. 'o .. . '. o, m 1. t. t '. 3 ' " I e 3;; J 1 1 11 1 ~11111:1 1 1 124 1,J_1_1_111111uu11__-1_i_11-i. i 1 11-111111111L_ J o .. ..e ‘e O O o .. O s. _: — I .. ‘ e U ..u; @_L .e w. .0. .0. 3 O O .Q:- o 3,. ‘.. 5.” 11111121111111 19.1111 111 111111111 lm 0- 9 °.. ‘.°. 0 Q ', .0 O D O O. .— ._ O. to. 0 e e .‘ e. ..O. .0 O... .3 e. ‘e e‘ 0... g 0 e. a O O a 1...- 1.1, .9. 1--,___JI 0. .g e.‘. 0.0‘ o —__._._. W ._ # _ _#__. .0 § " O O 2 " O 0 e- ' o is 11111111 1111111111 1111111111 1111111131. 6.1111111 111 - a: o O , "= '. O :3 0 o '- "' 0 ’oo‘ 0. 2 "' °. 0 D .0. D °o o O 0.. 5 °. c1 3. e O D O .0 1 O O o O —.0. .._ ._ N _ .1 q .0 Q. 111111 11 111111111I11_1 111111111111 11 111111 . FIGURE 28 NOMOGRAPH FOR EVALUATION OF PARTICLE TERMINAL VELOCITY, LEVA (I959) 139 THEORETICAL TERMINAL VELOCITY FOR ALFALFA STEMS AND LEAVES Stoke' s Law, Binder (1943), is applied to particles of the following dimensions to determine their terminal veloci- ties: Dried Fresh Stem Dried Stem Fresh Leaf Quantity (1 in.) 25% (mcdb) Leaf 25% mcdb Diameter, d, in. 0.090 0.073 xxx xxx Thickness, t, in. xxx xxx 0.010 0.009 Projected Area, Ap, rt2x104 6.25 5.07 25.7 16.6 Crossection Area, Ac, inleo3 6.36 4.20 xxx xxx Volume, v, in3x103 6.36 420 2.9 .97 Weight, w, 1b.x105 18.3 7.52 9.02 3.15 Density, P.1b/cu.ft. 50.20 30.85 54.52 52.85 Area/Weight, ft2/1b 3.41 6.75 28.38 52.70 Stems are approximated as cylinders, Cd - 1.7, Re - 50 Leaves are approximated as disks, Cd - 1.2, Re - 150 Sample calculation: - 3 Assume: air entering e 500°F, f)- 4.13 x 10 2 lb/ft 1L- 1.900 x 10"5 lb/ft sec. —2 3 air leaving 0 300°F, fD- 5.23 x 10 lb/ft IL- 1.615 x 10"5 lb/ft sec. 140_ For example: Fresh cut stem, 1 inch long, air entering 0 500°F -5 Utz .. 2 (18.3 X 1.0—2— 4 .. 8.33 1.7 (4.13 x 10 )(6.25 x 10- ) Ut - 2.89 ft/sec; 174 ft/min Re - (4.13 x 10‘2)(2.89)(0.09) - 47 (1.90*x 10:57 ‘12“ Similarly, the following values of at can be determined along with Reynolds number, Re. Air Temp. Term Velocity, Ut Reynolds 0 Particle P ftZSec ft/min Number Re Fresh Stem (l in.) 500 2.89 174 47 Dried Stem (1 in.) 300 1.83 110 36 Fresh Leaf 500 1.19 71 148 Dried Leaf 300 .78 47 117 141 APPENDIX D SAMPLE CALCULATIONS FOR MASS RATE OF FLOW AND MOISTURE REMOVAL RELATIONSHIPS Test No.: 15c Date: 9/22/63 Material: Fresh Birdsfoot Trefoil Leaves Quantity: 1.0501 g (89 leaves) Stage of Maturity: 10% Bloom, 3rd cut Atmos. Air: Temp. - 85°F; 3.2. - 25$;f3- 0.072 1b/ft3 Air In: Mean Temp. - 242°r; R.H. - 0.8%;f3- 0.05 1b/ft3 Air Out: Mean Temp. -141°r; R.H. - 6%;f3- 0.066 lb/ft3 Fluidization Immediate Divergence of velocity Field Data,Test 15c Photocells, 1-2 2-3 3-4 4-5 5-6 Dist. Between, ft. 2.63 2.42 2.38 2.54 2.08 Oscillograph Chart Output, Units* 4.8 5.1 5.7 6.2 6.0 Time, Secs. 0.19 0.20 0.23 0.25 0.24 Velocity, fps 13.6 11.8 10.4 10.2 8.7 *Oscillograph chart output speed - 25 units/sec., one unit - i centimeter. Time - No. units - 6.0 - 0.24 secs. units/sec. 25— Velocity - 2.08 - 8.7 ft/sec. 0‘24 lass Velocity, ib/rt2 hr. - Velocity x Density x 3600 - 8.7 x 0.066 x 3600 - 2060 111/it2 hr. 142 Moisture Removal Data, Test 15c Time, Initial ngves Dry M.C. Leaves Sub Total Secs. M.C. % d.b. Out ‘ % d.b. Out % Leaves out % 10 380.2 17 209.2 19.1 19.1 20 380.2 30 198.0 33.7 52.8 30 380.2 13 173.9 14.6 67.4 40 380.2 4 154.8 4.5 71.9 50 380.2 0 - - - 60 380.2 3 156.7 3.4 75.3 70 380.2 2 80.6 2.2 77.5 80 380.2 1 7.1 1.1 78.6 90 380.2 3 22.6 3.4 82.0 100 380.2 - - - - 110 380.2 - - - r 4 min 380.2 16 103.8 18.0 100.0 a) Weight of feed, fresh cut leaves - 1.0501 g b) Weight of feed, bone dry - 0.2187 g c) Weight of total H20 in feed, wb - 0.8314 g d) Initial moisture content, % d.b. - 380.2% e) Weight of H20 removed in process, wo-wl - 0.3729 g f) H20 removed %, wo-wl x 100 - 44.8% '5 Schrenk's parameter (1959) - IQ - 1 '1 wb - weight of H20 in feed 1b/lb bone dry wl - weight of H20 in product lb/lb bone dry wn—w] - B’O.552 '0 '0 h) _1_ - 19 - 1.815 (8) '1 8)1-(f)-1- 1) In -1 - 1.815 -1 =0.815. '1 143 I TI"!!! $0.0 .. '1 II": I.-. 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