vs...‘ a H. ‘ . I n ‘ .. A. » cw .. .. , . I Ii u...l~ ” «lg . -u a: z... 5... .L ~ .. 4. $1.. I... «J ..-ho Q A; v 4... E‘ U u. . .5: u .4. i <1. .. . f‘w .. b. o .hrac .1. .‘. v .A‘ 4 ”0“ .n. Q8 a: O 8 .n. I GO. ’1 0“.” . H“ . a - V‘D . I... .i .\ u . ‘k‘q . u .n' a N 0.. A .I‘ l C a... . . .‘fi 0' ‘ \ t .a. .w .0 “n...” 0.3.... no 5.. .NM 8 U-.. . . A ‘0. G I- I I. 0.4 .9“ «\d 5 u ~ I .v (M‘ I:.,. § .5 I. i \a .9“ xx. ‘ h... ‘ . h u... h”: ‘ 3t. n-fioo . _, . I. .. : E , . ,7, ,. A 4 'a K. #35 0469 This is to certify that the thesis entitled Gas Turbines for Automotive 080. presented by Ralph Shepherd Parka has been aeapted towards fulfillment of the requirements for ”.8. dogree in '03. W Major professor Date A t 2 1 r‘. 1? w —- I GAS TURBINES FOR AUTOMOTIVE USE BY Ralph Shepherd Parks M A l'dESIS Submitted to the School of Graduate Studies of Michigan State College of Agriculture and Applied Science in partial fulfillment of the requirements for the degree of MAST'A‘R OF SCIENCE Department of mechanical Engineering 1950 THHRIS TABLE OF CONTENTS Page I. CALCULATIONS AND DISCUSSION FOR.AN AUTOMDTIVE GAS TURBINE Calculation of Compressor................... 5 Calculation of Combustion Chamber........... 14 Calculation of Nozzle....................... 1? Calculation of Turbine Blading.............. 23 Discussion of Blading materials............. 51 Discussion of Rover Turbocar................ 35 II. FIGURESl-G eeeeeeoeeeeeeeoeeeeeeeeeeeeeeeeeeeeeeoee 37 III. BIBLIOGRAPHYOOOOOOOOOO0.00.0000...OOOOOOOOCOOOOOOOOOOO 43 *‘3 0 LIST OF SYMBOLS Temperature rise in compressor Compressor tip speed, f.p.s. Slip factor Power input factor Axial velocity, f.p.s. Pressure at intake of compressor, p.s.i. Density, lbs. per cu. ft.‘ Hub diameter of compressor, inches. Inlet eye diameter of compressor, inches. Radial velocity, f.p.s. Whirl velocity, f.p.s. Acceleration due to gravity, 32.2 ft. per sec. Volume of air, cu. ft. per sec. Gas constant, 53.3 for air. Joule's constant, 778 ft. lbs. per Btu. Specific beat of air, 0.241 Btu per deg. F. per lb. Length of blade,inches. Mean diameter of blading, inches. FIGURE 1. 2. 3. 4. 5. 6. LIST OF FIGURES Temperature-Entropy Diagram..................... Blower and Diffuser Vanes....................... Compressor Blade Profile........................ Cutaway of Combustion Chamber................... Spill Type Injector............................. Layout of Blading for Nozzles and Turbine'Wheels PAGE 37 38 39 40 41 42 GAS TURBINES FOR AUTOMOTIVE USE This thesis will deal with the latest advances in the component parts of an automotive gas turbine as well as show the performance and economy of a gas turbine propelled vehicle. The most usable diagram for the gas turbine cycle is the tempera- ture-entropy diagram as shown in Figure l. The inlet air is represented at (l), and is compressed to (2) where the dotted line 1-2 is the theoretical adiabatic compression. 1-2' is the actual compression and . is shown with a solid line. The combustion takes place from 2-3 on a constant pressure line and the expansion takes place from.3-4, followed by the exhausting from.4-l at constant pressure. It is noted that this theoretical T—S diagram.is the diagram.for a Brayton cycle and an equivalent form of the Otto cycle efficiency applies for the cycle efficience, that is, the efficiency is independent of the combustion temperature; increases with the pressure ratio, but at a de- creasing rate.1 However, in the actual cycle, the efficiency, while increasing with higher pressure ratios, also increases with the tempera- ture rati02T3/T1. That is, it is increased by raising the maximum.comp bustion temperature or turbine inlet temperature and by lowering the ambient or compressor intake temperature. It is the former factor which above all prevented efforts in the gas-turbine field from.achieving suceess, since it is only of recent years that materials have become available which allowed a sufficiently high T3 for attaining a reason- able efficiency and output. Component efficiencies are of major 1 D. 6. Shepherd, Introduction to the Gas Turbine (New York: D. Van Nostrand Co., 1949) p.78. -1- importance, too, but turbine efficiencies at least have been suffi- ciently good for the purpose for many years. Another property of the actual efficiency is that for a fixed temperature ratio Tz/‘l‘l, the efficiency increases with pressure ratio until a maximum.value is reached, and then declines. The reason is that the negative work of compression increases and reduced the net output at a faster rate than.the reduction of fuel imput caused by the increased compression temperature T This is obviously important, since it implies an 2. optimum.pressure ratio for an imposed maximum.temperature. .Also it wdll be noted that whereas in the actual Otto cycle dia- gram.the line 1-2' veers to the left, in the Brayton cycle it veers to the right giving a higher value for T2. The reason for this is that the turbulence created by the compressor serves to raise the tempera- ture. It can also be seen from the diagram that the work done by the compressor in compressing the air is proportional to the vertical dis- tance between 1 and 2' and that the work done by the turbine is pro- portional to the vertical distance between 3 and 4'. If b0 and ht represent these two vertical distances, then the lowest possible idling speed or the turbine will be when he equals ht. If ht is less than hc there will not be enough work output by the turbine to turn the comp pressor. It has been found by experience that the best unit for automotive use is the separate turbine type of unit, where there is a turbine for the compressor and another turbine for driving. In.this thesis the former will be called the GTC, (Gas Turbine Compressor), and the latter GTPU, (Gas Turbine Power Unit), a type of notation widely used. This is the type of propulsion unit developed by the Boeing Company which has proved successful in operation with a Kenworth truck, and will be the type of unit considered here. It will be assumed also that the unit under discussion.will de- velop 125 horsepower at full throttle conditions with the compressor turning at 30,000 rpm and the drive turbine turning at 22,000 rpm. In addition, there will be a connecting shroud between the GTC and the GTPU, this shroud wdll have diffuser vanes to change the direction of flow of the gases from the compressor turbine to the drive turbine. For the purposes of this discussion, 1600° Fahrenheit will be used as the operating temperature, as this temperature will penmit an engine life comparable to a reciprocating engine of the same horsepower, us- ing modern metallurgical advances. The unit will burn gasoline, kero- sene or diesel fuel and an airxfuel ratio by weight of nearly 70:1 will be used, as a large amount of excess air is used with this type of application. This excess air is used.to cool down the hot gases to a usable temperature. The gas turbine propelled vehicle could use a simple two-speed transmission which would give good results on the road and would give ample acceleration and hill climb ability. Considering first the compressor for this unit, it is seen that the radial compressor lends itself admirably to the automotive field as it is cheaper to produce, stronger, can be run.at higher speeds, and has a wider effective operating range as compared with the axial type of compressor. The air enters the compressor casing by way of the -3- intake eye around the hub, is picked up by the rotating vanes of the impeller, rapidly accelerated and discharged from.the periphery into a diffuser. This annular chamber is provided with a number of vanes which form a series of divergent passages, whose function is to change velocity head to pressure head. From the diffuser the air passes to a discharge scroll heving two outlets leading to the two burners. There are three types of impellers used for radial compressors, (l), the single entry web type, (2) the double-entry web type, and, (3), the closed or shrouded type. 0f theserthe first is the easiest to manufac- ture and approaches very closely the efficiencies of the other two types. A pressure ratio of 4:1 is the optimum.for this type of unit which operates without regeneration, and is what might be expected from a single stage radial compressor. Straight blading will be used in the compressor as it will be easier to manufacture and there will be no complicated stresses due'to centrifugal bending moments. Backward carved blades give a high compressor efficiency, but deliver pressure ratios which are too low for application to gas turbines. Perhaps the most adaptable process for the manufacture of the comp pressor wheel would be the Thompson Products powder process which uses light equipment, very little critical material, and limited space. This method makes it possible to work to close tolerances with a good economy, and gives a good finish which is desirable in this case. In this process, powdered iron-made by reduction of crushed rolling-mill scale - is nolded to shape in presses under approximately 150 tons. This "green" compact is sintered at about 2000° F. in a protective at- mosphere and later coined to the desired shape. Then the precision- -4- shaped part is reheated to about 20000 F. in contact with a copper alloy in a special atmosphere furnace, the alloy being absorbed into the porous iron by capillary action, producing an almost 100% dense part. The corrosion resistance required in compressor blading is pro- vided by a chromized case about 0.002 inches deep. Engine tests are now'being run.t0 determine the suitability of electroplating a nickel- chromium.case onto the blading instead of dipping as is now done. This type of case gives a good corrosion resistance to the blading. The ultimate strength of the powder part is approximately 100,000 psi, which is less than standard blade materials, but extensive engine testing has proved the blades to be quite satisfactory. To date, more ’ than 500,000 axial-flow'compressor stator vanes have'been used in a current production jet engine. Aside from.the method's principal advantages of low'cost and the use of non-critical materials, are the requirements for only 250 ton presses, small work area, and high die life. Some 150,000 blades per month can be made in 12,000 sq. ft. of manufacturing space. Mblding and coining dies are currently made of conventional tool steels and are giving a life of 75,000 to 250,000 pieces, and carboloy dies will probably yield 250,000 to 1,000,000 blades. Excellent reproducibility of dimensions is indicated by the long die lifeg'working tolerances are currently : 0.003 in. to airfoil contour, ! 1/2 deg. of twist, and i 0.010 in deviation from theoretical chord line. Powder metal blades with the chromized finish are smooth and the surface discontinuities are indentations between flat plateaus rather -5- than the usual "hills and valleys". Powder metal parts can be polished to a high lustre by low cost polishing. It has been found by experi- ment that a very smooth surface on the compressor wheel does not give any added efficiency as compared with a virtually unpolished wheel so the time spent on high polishing is wasted. However, a high polish eases the job of searching for any cracks in.the surface of the blading. 2A.skeleton design.will be given here for the compressor for this size turbine. The calculations are for a single-sided impeller, and since the airzfuel ratio is 70:1, then the air mass flow should be for a 125 horsepower unit, assuming 15% overall thermal efficiency, and assuming 19,000 btu to be gained from burning of one 1b. of fuel, M . 125 x 529 x 70 e 2.2 lbs/tee. 0.15 x 773 x 19,000 The adiabatic efficiency will be assumed to be 78%, the intake tempera- ture 50° F., the pressure ratio 4:1, and the speed, 30,000 rpm. (a) The temperature rise will be: 1 T . 12-1 3—3 T g 4(8 r --/j g 520 (4.0 -1) 3 324° Fe : ° 7% 5378 (b) Tip speed and diameter: 02 :- T g Jcp , where ¢ is the slip factor and O’ is fie! takingfi _ 1.04, and a' a 0.9, the power input factor U2 : 324 x 32.2 x 778 x 0.241 41.04 x 0.9 U2 : 2,090,000 U = 1450 ft./hec. Tip dia. = 60 x 1450 x 12 . 11.1" 5 ,000 2 Ibid., p. 116. (0) Eye dimensions: Assuming an ordinary intake with eyeavanes bent for no prewhirl and an axial velocity of 500 f.p.s. V = 500, then 67a (Temp. rise due to air vel.) = a 2 0 I47 '3 Temp. ratio = 520 = 1.06 520-20.9 Press. ratio : (1.06)3'5 1.23 P1 : 14.7 = 11.9 1b./'in.2 1723' ffi_ : 11.9 x 144 = 0.064 1bs./ou.ft. 53.3 x 199.1 Flow'area 1v 0.064 x 500 8. 9.9 sq. in. 2 2 Area " 77- (d2 - d1 ) : 909 sq. in. 0 d2 : Where d is the hub diameter. 1 The criterion for (12 and 6.1 are the Mach number at the eye-tip and the general mechanical layout which might impose a minimum.for d1. Taking the above values for d2 and d1: -7- d -‘n' 305 5.0 in. U --- 458 655 ft./sec. : 77'd x rps. tan --- 1.09 0.752 tan -_- Va --- 47°30' 37° 0' U Checking the eye-tip mch number, V(ve)2 - (11)2 = (500)2 - (655)2 3 824 T1 : 499.1o R., hence velocity of sound ; yg r RT1 *W )/32.2 x 1.4 x 55.5 x 499.1 g 1120 Mach. no. : 824 g 0.735 T126 This is a good average value for the Mach number at the tip, ac- cording to Shepherd, and no prewhirl will be necessary. A larger tip diameter than 5 inches would increase the value of U and lead to higher Mach numbers, and a smaller diameter would increase the value of Va to such a point that smaller diameters would also lead to higher Mach num- bers. Thus, it seems that a 5" tip diameter is the optimum diameter for the minimum Mach number. (d) Diffuser dimensions Assume eight diffuser passages and a width of easing 0.75 in. allowing 0.5 in. between diffuser tip and impeller tip, and 1.0 in. be- tween the diffuser tip and threat, the diameter of the diffuser tip pitch circle is 12.1" and of the throat 14.1". The total loss in the compressor amounts to 324 (1-0.7B) g 71.30 F., and this may be apportioned as 35° F. loss from inlet to diffuser tip and the rest in the diffuser. The whirl velocity of the air at the -8- impeller tip is equal to Cf U 3 0.9 x 1450 g 1305 f.p.s. At the diffu- ser throat it is 1305 x 11.1 = 1020.0 f.p.s. = 84° F. It is now neces- . 14.1 sary to try values of the radial velocity, Vr, which will satisfy the continuity equation. Assume'Vr - 555 f.p.s. : 25.200 F. then 9v 84 + 25.2 a 109.2° F. A To - 6v : 324-109.2 = 214.80 F. Adiabatic temp. rise .-_- 214.80 F.-35 _-, 179.e° F. Adiabatic temp. ratio a 520 - 179.8 - 1.35 520 ' Pressure ratio a (1.35)?“5 a 2.86 Pressure at threat a 42.0 p.s.i.a. Density at throat . 42.0 x 144 ; 0.162 lbs./tu.ft. 53.3 x 699.8 Annulus area = 777x 14.6 x 0.75 = 0.239 sq. ft. 144 VI. = 1L ; t2.2 #_ = 565, which is close AP 0.239 x 0162 enough agreement with the assumed 555 f.p.s. The direction of the air at the throat, which is taken as the angle of the diffuser passage center line, is given by tan -1'Vr g 565 3 0.433 VL- I305 and the angle is 230 30‘. The throat area is the annulus area times the sine of the passage angle and therefore equals 0.239 x 144 x 0.398 g 13.7 sq. in. Hence the throat width is 13.7 = 2.28 in. 8 x 0.75 This is the nominal width, and may have to be altered if surging is encountered. From the throat onwards the air is diffused in a passage of equiv- alent cone angle of 11°, and introduced into the combustion chamber. One point remains to be fixed, the number of vanes on the impeller. The two limiting criteria are then the slip factor, (large number of vanes), and throttling at the intake due to too large a proportion of the eye annulus taken by vane width. In this case eighteen vanes will be used, this number being used on another compressor which has proved successful in the same operating range. The next step in the process is the combustion of the fuel-air mix- ture and a discussion of the requirements of the combustion chamber de- sign and some of the more important calculations will be wrked out here. Since reaction rate is very much influenced by temperature, it would not be desirable to mix all the air with the fuel at one step since the and temperature is required to be of the order of 1500°--1600o F. Little or no practical reaction would take place at this temperature and so a primary zone mst be isolated, into which only a portion of the total air is admitted. Maximum flame temperature indicates that the primary airsfuel ratio should be of the order of 18:1, which is higher than the theoretically chemically correct ratio of 15:1. The very high primry zone temperature means that the flame tube wall must be thoroughly cooled on the outside, and usually a thin skin of air is admitted on the inside at the periphery, so that flames do not impinge directly on the wall. A considerable portion of the heat trans- mitted to the wall is by radiation, and the usual yellow-flame combus- tion contributes more in this way than does the blue flame. -10- The existence of low-flame velocity requires the use of some type of baffle in the primary zone at the point of injection, in order to stabilize the flame by creating a zone of low air velocity. The average air velocity entering theicombustion chamber may be from 100 to 300 f.p.s., and the baffle will allow local stagnant regions and areas of reversed flow'which provide continuous burning zones. The primary combustion zone should be as large as possible to allow the maximum.time for reaction at high temperature. It is then necessary to introduce the diluting air to reduce the temperature to that re- quired at the turbine inlet, and this will amount to some three-quarters of the whole, since the overall mixture is 70: 1. This mixing air is called secondary air. The mechanism of combustion leads to the expectation that difficulty say be experienced in maintaining combustion efficiency over a range of mixture strength.and that carbon formation may occur. The free carbon is attributed to the cracking of the fuel by exposure to high tempera- tures without sufficient oxygen.being present for'immediate combustion. The blue flame signifies a gradual oxidation process, and can be pro- duced in a gas turbine combustion chamber with extremely small fuel particles with a high degree of turbulence. The loss of pressure due to change of momentum.is