Of TLECHilu) \%VAST. OCT 18 1960 LIBRAFRC ETHIYL ALCOHOL AS FUEL FOR INTERNAL COMBUSTION ENGINES by ENRIQUB L. B.S.M.B., KILAYKO UNIVBRSIDAD de SANTO TOMAS (1959) Submitted in Partial Fulfillment of the Requirements for the Degree of Master of Science at the MI1assachusetts Institut of Technology September, 1960 Signature of Author Department of Mechanical Engineering, AugusL ,,, .)60 Certified by Accepted by _ ·__· Chairman, _·_·_·___ Departmental Committee on Graduate Students / t. ABSTRACT ETHYL ALCOHOL AS FUEL FOR INTEIWRNAL COMBUSTION ENGINES By. EWRIQUE L. KILAYKO Submitted to the Department of Mechanical Engineering on August722, 1960 in partial fulfillment of the rxquirements for the degree of Master of Science. Performance of- a high compression four cylinder automotive engine using Ethyl Alcohol as fuel with different amounts of preheating of the inlet mixture is evaluated. Some discussion of the results and recommendations for further research are included. THESIS SUPERVISOR: ASSOCILATE AUGUSTUS R. ROGOWSKI ROFESSOR OF MECI.ANICAL ENGINEERING ACKNOWLEDGBMENT S The author gratefully acknowledges the guidance and supervision of Prof. A. R. Rogowski as thesis advisor and the valuable comments and suggestions of Prof. C. F. Taylor. J. The author also acknowledges the assistance of Caloggero for the installation and instrumentation of the set-up, to K. S. Rajagopolan for taking the readings during some of the runs, and to R. N. Corominas for his patience in typing this thesis. TABLE OF CONTENTS Page No. Title -------------------------------- 1 Abstract ------------------------------ 2 Acknowledgements --------------------. 3 Nomenclature -------------------------- 5 - 6 Introduction ---------------------- -- 7 - 10 Description of Apparatus -------------- 11 - 13 Procedure - ----------------------------- 14 - 16 Discussion of Results, Part I --------- 17 - 19 Discussion of Results, Part II -------- 20 - 25 Analysis of Results ------------------- 26 - 35 Conclusions and Recommendations ------- 36 - 38 References ------------------.--------- 39 Tables -------------------------------- 40 - 47 Figures ------------------------------ 48 - 94 Data Sheets --------------------------- 95 - 102 NOME~ CLATURE BHP - Brake Horsepower - Indicated Horsepewer FHP - Friction Horsepower BMEP - Brake Mean Effective Pressure IME1 - Indicated Mean Effective Pressure FMEP - Friction Mean Effective Pressure BSPC - Brake Specific Fuel Consumption ISFC - Indicated Specific Fuel Consumption Nm - Mechanical Efficiency Ni - Indicated Thermal Efficiency Nf/a - Fuel-Air Cycle Efficiency Nv - Volumetric Efficiency F/Fc - Ratio of Actual Fuel-Air Ratio to the Stoichemetric Fuel-Air Ratio P/AWa' Fuel-Air ratio - Actual mass -low of air, lbs./hr Wa - Computed mass ilow of air, lbs./hr wf - Fuel flow, lbs./hr P1 - Pressure difference across,orifice for air flow measurement - Pressure at inlet manifold, psia -A. - Temperature at inlet manifold, OR t _ - Temper .ture at entrance of heat entrol valve, OF to - Temperature at exit of heat control valve, oF T - Temperature di -ference between the entrance and the exit of. the heat control valve, OF Man. Vac. - Manifold vacuum S-- Piston Speed, ft/min. RPM - Revolution Per Minute 3c -Heat Value of Fuel S. A. - Spark Advance, degrees before top dead center r Nr - - Compression Ratio Ratio of actual indicated thermal efficiency to the theoretical fuel-air cycle efficiency f - Ratio of residual gas content to total cylinder vol. Pex eBX - Exhaust pressure, psia. INTRODUCTION The use of ethyl alcohol as a substitute fuel for gasoline in high compression automotive engines has never been fully studied from the point of view of self-sufficiency except in some special racing engines. Consider- able work has been done on gasoline-alcohol blends and on alcohol injection but not on 95% pure ethyl alcohol alone. It is the purpose of this thesis to give an account o - the performance of a typical four-cylinder automotive engine using ethyl alcohol as compression ratio which is and to use it fuel and operating at a best suited for the said fuel in an attempt togain more knowledge in the topic of performance and fuel economy. 3thyl alcohol because of its porization woulc high latent heat of va- naturally require more preheating than gasoline, for optimum performance and economy. of preheating for optimum This amount rerformance and economy is determined and the results compared with those using gasoline in the same engine but of a lower compression ratio. This narticular consideration is important since preheating the inlet mixture tends to reduce air capacity and thus enTine power, while poor distribution results in poor fuel economy and at the same time reduce engine power. effect of the amount of •reheat-ing on BM••t, IM EP, The BSFC, ISFC, and volumetric efficiency are 1lotted for both the alcohol and gasoline runs. Only steady-state running is considered but several speed load combinations are used. The variables which affect the performance in a given engine running in a steady state are: Speed Load Fuel-air ratio Inlet temperature Compression ratio. Since it is not practical to cover all possible combinations, a limited number of these combination are selected for test purposes. The following are the different speed-load combinations: Series "'A" rpm = 1800 S = 945 ft/min. Part Throttle: 8.35 psia manifold pressure. Series 3B" rpm = 2000 s = 1050 ft/min. Part Throttle: 8.35 psia manifold pressure. Series "C" rpm = 2400 S = 1260 ft/min. Part Throttle: 8.35 psia manifold pressure. Series "D" rpm = 2000 S = 1050 ft/min. Full Throttle: Atmosp:heric inlet pressure (at carburetor intake) Series "E" rpm = 2400 S = 1260 ft/min. Full Throttle: Atmospheric inlet pressure (at carburetor intake) Series "F" rpm = 2800 S = 1470 ft/min. Full Throttle: Atmospheric inlet pressure (at carburetor intake) Series "A-l" rpm = 1800 S = 945 ft/min. Part Throttle: 8.35 psia manifold pressure. Series "--" rpm = 2400 S = 1260 ft/min. Pull Throttle: Atmospheric inlet pressure (at carburetor intake) lb For Series "A" to "F" runs inclusive, compression ratio is at 12:1 and the fuel used is 95% pure Ethyl Alcohol. For Series "A-l" and "'E-1t" runs, the compression ratio is at 7.25:1 and the fuel used is 92 octane gasoline. DESCRIPTION OF APPARATUS ENGINE: Make & Model ---------- Renault, Type R1090 No. of Cyl. ----------- 4 Type ----------- 4-stroke cycle, OHV in-line Max. BHP ----------- 32 @ 4200 RPM (manufacturer's rating) Compression ratio------7.25:1 Bore-------------------58 mm or 2.283 in. Stroke ----------- 80 mm or 3.15 in. Piston Displacement----845 cc or 51.8 cu. in. INLET SYSTEM: The air supplied passes through a sharp edged .725 in orifice, (installed with flange taps according to A.S.M.E. specifications), a surge tank, and intake pipe connected to the carburetor air horn by a rubber hose. Temperature of the inlet mixture is varied by the manually controlled heat riser system. (Fig. o). FUEL AND FUEL SYSTEM: When the compression ratio is gasoline is used. at 7.25:1, 92 octane For high compression ratio's (12:1) 100 octane gasoline is used for starting and warm-up. 95% pure Ethyl Alcohol is used-for steady state running. Gasoline is supplied by the laboratory main fuel pump and is passed through a 3 - way valve before entering the carburetor of the engine. The 3-way valve facilita- gasoline to alcohol tes switching over from while the engine is running. Fuel flow is regulated by means of a needle installed at the seat of the main jet. Alcohol is supplied by an overhead supply tank. COOLING SYSTFM: The ,engine is cooled by circulating water around the water jackets by the engine water pump. The tempe- rature is maintained constant by means of a heat exchanger using steam or water. LUBRICATION SYSTEM: Lubrication is provided by means of a fa6ce-feed wet sump system and the oil temperature is controlled by circulating the oil through a heat exchanger. An electrically driven oil pump is added for circulating the oil through the heat exchanger. IGNITION SYSTEM: The ignition is the regular Renault system using an ignition coil, distributor and battery. Spark advance is varied manually. EXHAUST SYSTEM: The engine incorporates a two -part exhaust manifold and a heat riser system of conventional design. Thermocouples are installed at the entrance and exit of the heat control valve to measure exhaust temperature at these points. MEASURING INSrRUMENTS: An electric cradle-dynamometer is coupled to the output shaft of the engine to measure torque. Engine RPM is measured by a mechanical tachometer connected to the dynamometer, and is further checked by a strobe lamp. Air flow is measured by a differential manometer with standard sharp edge .725 in. diameter orifice. Fig. 44 is a caliberation of this set-up. Fuel flow is measured by a conventional rotometer. The same rotometer is used with both alcohol and gasoline but using different floats. Figs. 45 & 46 shows the ca- liberation of this set-up. Spark advance is measured by a graduated crankshaft pulley and neon timing light. Inlet manifold pressure is measured by a mercury manometer which reads the manifold vacuum directly. Jacket water temperature is measured by a mercury bulb thermometer installed at the discharge pipe at the end of the cylinder head. Oil temperature is measured by a vapor pressure thermometer. Temperature of the exhaust gas at entrance and exit of the heat control valve (Fig. o) is measured by thermocouples using Leeds and Northrup millivolt potentiometer indicator. PROCEDURE Part I. The engine is run first using 92 octane gasoline as fuel at a compression ratio of 7.25:1. Fuel - air ratio is varied from B/Pc of .9 at increments of .1 to F/Fc of 1.3. This is accomplished by turning the needle valve which is installed to control the opening of the carburetor main jet. Stoichemitric fuel -air ratio for gasoline is .06775:1. At each run with a particular fuel-air ratio, the heat control valve opening is varied from fully open to fully closed. The heat control valve position is changed in steps by increments of 1/4 the maximum swing of the valve from the fully open to the fully closed position. At the fully open position of the heat control valve, no exhaust gas is allowed to recirculate through the underside of the portion of the intake manifold directly under the carburetor, except for some leakage of course. At the fully closed position, all the exhaust gases are channeled so that they circulate through the underside of the portion of the intake manifold directly under the carburetor and serve to heat the incoming mixture of fuel and air. Two speed load combinations are used namely full throttle at 2400 rpm (1260 ft/min.) and part throttle at 1800 rpm. For the part throttle runs, the manifold pressure is kept constant at 8.35 psia since this corresponds to the condition in which a great majority of automotive or farm tractor engines would operate at part load con dit ions. Before any reading is takenthe engine is fully warmed up to operating conditions namely 180OF jacket water temperature and 150OP oil temperature. Spark advance is set for best power on all runs. Part II The compression ratio is raised to 12:1 by the addi- tion of a block of metal screwed on top of the piston. This block of metal is so designed that the space it takes up reduces the clearance volume to an extent that the compression ratio is raised to 12:1. To reduce warm up time the engine is started by using 100 octane gasoline and the spark retarded around 0S BTC to prevent detonation. Once the ja'ket water temp- erature and oil are almost 180 0 F respectively, the 3-way valve is switched to alcohol, and the spark advanced to best power for alcohol. The water jacket and oil temp- erature is adjusted to the exact figure of 1800P and 150F0 respectively. As in the gasoline runs, five different fuel-air ratios are used namely F/Fc =.9, F/Fc = 1.0, F/Fc and F/Pc = 1.3. = 1.1, F/Fc = 1.2, The diameter of the main jet is increased by the V"'IT or 1.264 to approximately correspond to the lower heating valve of ethyl alcohol. /" The amount oF preheating is again varied by changing the opening of the heat control valve. Six speed-load combinations are used namely part throttle at 1800 rpm, part throttle at 2000 rpm, part throttle at 2400 rpm, full throttle .at 2000:.rpm, full throttle at 2400 rpm, and full throttle at 2800 rpm. These speed-load combinations are chosen so as to be able to determine the effect of piston speed in the several variables. For part throttle runs, the inlet manifold pressure is kept constant at 8.35 psia and for full throttle runs, the pressure is atmospheric at the carburetor intake. Spark advance is set for best power at each run. Jacket water temperature and oil temperature are kept constant again at 180 0 F and 150OF respectively. Discussion of Results Part I (A) The effect of inlet mixture preheating on Brake and Indicated Specific Fuel Consumption - using gasoline as fuel: Figures 1 & 2 shows the efffect of preheating the inlet mixture on the BSFC of the engine when 92 octane gasoline is used as fuel. At low speeds (S=945 ft/min) and at part throttle, BSFC decreases with the increase in of the A T between the inlet and outlet portions of the heat control valve. The minimum BSFC would be at a higher AT for a richer mixture. For leaner mixtures the minimum BSFC are at lower. Ts except for the leanest mixture (F/Fc= .9) in which the minimum BSFC. is again at a highaT. When a rich mixture is used there is an excess of fuel that all the cylinders have a rich mixture, which means that no Cylinders tend to run lean, but the air capacity decreases at a faster rate than the improvement in fuel-air mixture distribution. But when the mixture is very lean, there is not enough excess fuel in the manifold to take care of the difference in fuel-air ratios amoung the cylinders, that distribution plays an important role. Increasing the AT in the heat control valve will heat and speed up the vaporization of the fuel particles, consequently improving distribution and the B4EP. When the engine is speeded up and the throttle fully opened, (Fig. 2), velocities in the manifold increase and distribution improves that less heat in proportion to the fuel that comes in is necessary, increases the BSFC. that increasing theAT This it true in Stoichemetric fuel- air ratios and higher. In this case the improvement in distribution is slower than the rate of decrease of the air capacity. This is more clearly shown by comparing Figs. 1 & 3 or 2 & 4. The increase of BSFC in proportion toAT is faster than that of the ISFC because of the drop in air capacity and consequently the mechanical efficiency. But again, for fuel-air ratios less than stoichemetric, distribution is a more important factor because of the absence of excess fuel. Here the BSFC and ISPC continues to improve as the AT is increased. (B) The effect of inlet mixture preheating on Brake and Indicated Mean Effective Pressure using gasoline as fuel: Figs. 6,7,8, & 9 show the effect of increasing !T on brake and indicated mean effective pressure. Except for fuel-air ratios less than stoichemetric, mean effective pressure decreases as the AT is reduced air capacity. increased due to the With very lean fuel-air ratios, some cylinders tend to misfire thereby reducing engine power, that inspite of the reduced air capacity due to the preheating inlet mixture, the mean effective pressure remains somewhat constant. In this case the improvement in distribution is somewhat proportional to the decrease in air capacity. (C) The effect of fuel-air ratio on specific Fuel Con- sumption using gasoline as fuel. On Figs. 11 & 12 two lines are plotted for BSFC and ISFC. One line is for either BSFC or ISFC with the heat control valve closed and the other with the heat control valve open. As can be expected, the point of minimum BSPC with the heat control closed occurs at a lower fuel-air ratio than when the heat control is open. This is explained by the fact that there is better distribution of fuel with high inlet manifold temperatures, that a leaner mixture can be used. The value of the BSFC or ISPC with the heat control valve closed, at their minimum point is not the minimum BSFC or ISFC of the runs because of the reduced air capacity which reduces power. Part II (A) The effect of preheating the inlet mixture on Brake and Indicated Specific Fuel Consumption using 95% pure Ethyl Alcohol as fuel: Figs. 13 to 16 inclusive, show, the effect oi pre- heating the inlet mixture on the BSFC and ISFC when alcohol is used as fuel. Because of the hih of vaporization of alcohol, heat control valve, latent heat increasin- the AT across the decreases both the brake and indicated specific fuel consumption. Increasing theA•T improves the distribution to such an extent that even though the air capacity is reduced slightly, the power increases. Figs. 13 & 15 show that at low fuel-air ratios and at low manifold pressures (part throttle), the BSFC & ISFC will reach a minimum point at a AT of approximately 120oF and will increase slightly as the AT is is increased futher. This due to the fact that at low fuel-air ratios, the amount of heat transferred from the exhaust gases to the inlet mixture is just about right for good distribution but not too excessive as to reduce the air capacity. When speed is increased, i.e. kept constant but manifold pressure is throttle fully opened, the minimum BSFC and ISFC occurs at the same value of AT, but in this value of &T creased there is is this case the maximum and when the ACT is de- a faster rate of rise of BSFC and ISFC in r-roportion to the rate of decrease of the ZST, than when manifold pressure was low. This is probably due to the fact that more fuel has to be heated and the time element involved is not sufficient to heat up the mixture as mluch as it did when the manifold pressure was low. (B) The effect of preheating the inlet mixture on Brake and Indicated Mean Effective pressure, using 95% pure Ethyl Alcohol as fuel: Again, for part throttle runs, the rate of increase of both BMEP and IMEP as the AT is increased is slower than the rate of increase of the BNIEP and IMEP of the full throttle runs. tionships. Figs 17 to 28 inclusive, From these graphs it manifold pressure is show these rela- can be noted that when kept constant, points of maximum BMEP or IMEP occur at a lower AT when the speed is increased. As engine speed increases, the velocity of the gases in the manifold also increase and improves distribution that less preheating is necessary for satisfactory distribution of fuel among the cylinders. The lower ATs obtained in high speed runs are due to the fact that there is less time for heat transfer from the exhaust gases to the inlet mixture at high speeds than for low speeds. (C) The effect of preheating the inlet mixture on volumetric efficiency: Figs. 29 to 34 inclusive show the effects of increasing the AT on the volumetric efficiency. As can be ex- pected, the volumetric efficiency or air capacity drops as the A6T increases, but the drop is less when alcohol is used as fuel instead of gasoline. The high latent heat of vaporization of alcohol accounts for this because it prevents a great rise in the temperature of the inlet mixture. In other words, the charge density may even increase due to the cooling down of the mixture as it vaporizes with the addition of heat. (D) The effect of piston speed on Mean Effective Pressure using 95% pure Ethyl Alcohol as fuel: Fig. 35 shows the variation of BMEP and IMEP with piston speed keeping the fuel-air ration and manifold pressure constant at 8.35 psia. Both BM•EP and IMEP have their peak at approximately the same speeds and they are always higher with the heat control valve fully open (no exhaust gas recirculated). For full throttle runs (Fig. 36) the peak of the BMEP an IMEP occurs at a lower piston speed because of the decrease of volumetric efficiency as the speed goes up (Fig. 39). With the heat control open the drop in both BMEP and IYMEP is less as the speed goes up because of the higher charge density and volumetric efficiency, although their values are lower to start with. (B) The effect of speed on Specific Fuel Consumption: Minimum BSFC and ISFC occurs at about the same speed for low manifold pressure and at F/Fc of 1.1. this particular fuel-air ratio it Running at can be noticed on Fig. 37 that the curves for BSFC and ISFC with the heat control valve fully open and fullly closed overlap at very low speeds. This is due to the fact that at low speeds and at low manifold pressures there is sufficient time for the ,uel-air mixture to vaporize even though the heat control valve is open. Run No. 90, Table III shows that even though the heat control valve is open, there is aaa T of 590F which means that some of the exhaust gas leak through the heat control valve and preheat the incoming fuel-air mixture. This amount of heat leakage is sufficient at this speed and fuel-air ratio to vaporize enough of the fuel to insure good distribution. As the speed is increased to 1260 ft/min., there is less time for heat transfer from the exhaust gases to the incoming mixture that even though the heat control valve is fully closed, not enough heat is available that the difference between BSFC or ISFC with the heat control valve fully open and fully closed is again slight. For full throttle runs (Fig. 38) the picture is similar except that the low speed in which the BSFC or ISFC curves with heat the control valve fully open moves towards the BSFC or ISFC curves with the heat control valve fully closed, is not reached. it is But at high speeds clearly shown in Fig. 38 that the curves start to move towards each other, again because of the limited time available for heat transfer between the exhaust gases and the inlet mixture. (F) The effect of fuel-air ratio on Mean Effective Pressure: For part throttle runs, (Fig. 40) the mean effective pressure increases only very slightly with increasing fuel-air ratio once stoichemetric fuel-air ratio is reached unlike the mean effective pressure using gasoline. This P4 is explained by the fact that alcohol being a single compound vaporizes at a single temperature, and any increase of alcohol in proportion to air does improve the distribution of the fuel among the cylinders. The picture is similar for full throttle runs, (Pig. 41), although the peak is at a higher fuel-air ratio. By comparing Fig. 41 and Fig. 10, it can be seen that the peak of the mean effective pressure occurs at about 1.175 F/Pc for alcohol while for gasoline it occurs at 1.3 F/Fc, also because of alcohol being a single compound, consequently a single vaporization temperature. (G) The Effect of fuel-air ration on Specific Fuel Consumption using 95% pure Ethyl Alcohol as fuel: Regardless of engine speed, minimum BSFC occurs in the vicinity of .975 P/,Pc, and minimum ISFC at .95F/Pc. By comparing Figs. 42, 43, 11, and 12, one will notice that the minimum specific fuel consumption for alcohol occurs at a lower P/FPc than for gasoline because the mean effective pressure, when alcohol is used as fuel, does not rise appreciably when the fuel-air mixture is enriched. For both part throttle and full throttle runs using alcohol (Figs. 42 & 43) the minimum BSFC and ISPC with the heat control closed (max. heat) is at a slightly lower F/Fc than when the heat control valve is fully open (min. heat) because of improved distribution of fuel when a greater part of it is vaporized. The reason for the minimum ISFC occuring at a slight- ly lower P/Fc than that of the minimum BSFC is that at F/Fe lower than stoichemetric the brake mean effective pressure drops sharply that the mechanical efficiency decreases faster than the decrease in fuel consumption. Throughout the range of fuel-air ratios, the specific fuel consumption for alcohol with.the heat control closed is always lower than the ones with the heat control open. This is opposite to the resUlts that are obtained when gasoline is used. ,d 3 ANALYSIS OF RESULTS Theoretical Fuel-Air Constant Volume Cycle using Gasoline: r = 7.25, P1 = (14.7) - (1.5 x .491) = 14.7 - . 73 = 13.97 f = .03 (assumed) T1 = 600oR (assumed) PeX = 14.7 psia FP/A = .06775 P/Pc = 1.0 4 Pt.(1) P=ff13.97 T.600 Pt. P 1 = 13.97, T1 = 6000 R (1) V1 = 16 cu. ft. Process El = ý6 (1)---------(2) V1 (Compression) = 7.25, V2 = 16 7.15- V2 = 2.2 cu. ft. At V2 = 2.2 cu. ft., P2 = 205 T2 = 1175, E2 = 142 ____ _I _· __ ~_~__·_ _^__I_~___· _· _ ~~~_~ _~~_·____ ___________ (Combustion) Process (2)--------------(3) E3 = B2 + E comb. = 142 + 1280 (1 - .03) = 142 + 1280 (.97) = 1382 At B. t. u. E3 = 1382 T3 = 5060 R & V3 = 2.2, cu. ft. P 3 = 950 psia Process (3)--------------(4) '(Expansion) V4 = Vi = 16 Cu. ft. T4 = 3450oR P4 = 89 psia E4 = 747 Pt. (5) :T5 = 2400°R W V5 = 66 cu. ft. B5 = 442 (E3 - E4) - (B2 - B1) = (1382 - 747) - (142 - 16) = 635 - 126 = 509 B.t.u. = 509 x 778 W 144 ( 16-2.2) V1 - V2 MEP = = 5.4 509 13.8 = 199 psia N f/a = 509 = (l-f)(E Comb) = 509 .97 x 1280 = .41 or 41% =40 Actual Indicated Thermal Efficiency, Ni: r = 7.25, P/Pc = 1.0, RPM = 2400 P1 = 13.97 psia, T= 600oR (estimated, with bT = 0) Ni = 2545 ISFC x Bc = 2545 "8,i00 2545 .427 x.19,000 = .314 or 31.4% Ratid of Actual Indicated Thermal Efficiency t Theoretical Fuel-Air Cycle Efficiency, Nr: Nr= .314 .41 .765 or 76.5% Theoretical Fuel-Air Constant Volume Cycle using 95% Pure Ethyl Alcohol as fuel: r = 12, P1 = 13.97 f = .02 (assumed) T1 = 600OR (assumed Pex = 14.7 psia F/A = .1114 F/Fc = 1.0 I, I 1 ,,,, V, i t. ' - - ft. P 1 = 13.97, T1 = 6000 R V1 = 17 cu. ft. E1 = 52 Pt. (1) Process (1)------(2) (Compression) V1 - V2 At = 12, S2 V2 = 17 12 V 2 = 1.415 cu. ft. T 2 = 1280 0 R P2 = 365 psia Process 1.415 cu. ft. E2 = 212 (2)-----------(3) (Combustion) B3 = E2 + B comb = 212 + 1288 (1 -f) = 212 + 1288 (.98) = 212 + 1260 = 1472 - ' - '~S At E3 = 1472 T3 = 5060 0 R & P3 V3 = 1.415 cu. 1550 psia = Process (3)----------(4) V4 = VX 0 17 cu. ft. T4 Pt. (5) = E4 = 630 P4 = 70 10 T5 = 2000 0 R, ft. V5 = 57 cu. -5 = 370 ft. - (E3 - E4 ) - (B2 - El) (212 - = (1472 -630) = 842 - 160 682 IMEP = B.t.u. _ VI - V2 = 5.4 52) = 682 x 778 144 (17-1.4r5) 682 15.585 = 236 psi W Nf/a = = (1-f) (B comb) = 682 1260 682 .98 (1288) = .54 or 5470 Actual Indicated Thermal Efficiency, Ni: r = 12, F/Pc = 1.0, RPM = 2400 P1 = 13.97 psia, T1 = 6000 (estimated, 2545 I SFCxEc = 2545 7380 Ni = Nr = .345 .54 with max 2545 .637 x11,600 = .345 or 34.5% = .64 or 64% -t) 36 I r Theorectical Fuel-Air Constant Volume Cycle using Gasoline r = 7.25, P 1 = 8.35 psia f = .06 (ass)T1 = 600 0 R (assumed) Pex = 14.7 psia F/A = .06775 F/Fc = 1.0 "4. VA, Pt. (1) P1 = 8.35 psia V1 = 26 cu. ft. Process (1)----------(2) V1 -= 7.25, V2 V2 At = T1 = 600 0 R 1E= 16 (Compression) 26 7.25 = 3.58 cu.ft. V2 = 3.58 cu. ft. E2 = 142 T 2 = 7190 P2 = 138 psia (Combustion) Process (2)---------(3) E3 = E2 E comb = 142 + 1280 (1 - .06) = 142 + 1280 (.94) = 142 + 1200 = 1342 B.t.u. At E3 = 1342 T3 = 4950 R & V3 = 3.58 cu. ft. P3 = 570 Process (3)------------(4) V2 = VI = 26 cu. ft. 3; P4 = 45 psia T4 = 3290R Pt. (5) T5 = 2730 0 R = (E3 - E4 = 695 £5 = 510 V5 = 68 cu. ft. 4) - (E2 - El) (1342 - 695) - (142 - 16) =647 - 126 = 521 W IMEP = V1 -V2 = 5.4 = 521 x 778 144, (26 - 3.58) = 125.5 psi Sh1 22.42 521 = Nf/a = (l-f)(E comb) 521 o 1200 (.94)(1280) = .434 or 43.4% Actual Indicated Thermal Efficiency, Ni: RPM = 1800 F/Fc = 1.0 r = 7.25, Ti = 600oR (estimated, with opP1= .35 psia ')CA C timum h T) - •545 /545 ISFC x Ec .492 x 19;,000 = .2725 or 27.25% Nr = .2725 .434 = 9325 = .629 or 62.9% Theoretical Fuel-Air Constant Volume Cycle using 95% Pure Ethyl Alcohol as Fuel Pi = 8.35 psia r = 12, Ti = 600 0 R (assumed) f = .04 (assumed) Pex = 14.7 psia F/A = .1114 F/Fc = 1.0 ,ý ?'"- v1i eft fl. 3.a Pt. (1) P1 = 8.35 psia V1 = 26 cu. Ti = 6000 R 21 = 52 ft. Process (1)----------(2) (Compression) V1 V2 = 12, V2 At 36 2.16 cu. ft. 12 V2 = 216 cu. ft. T2 = 13500 R Pp = 250 Process E3 = = = E2 = 235 (2)---------(3) (Combustion) E2 + E comb 225 + 1288 (1 )f) 225 + 1288 (.96) = 225 + 1235 = 1460 B.t.u. At E3 = 1460 V3 = 2.16 cu. ft. P3 = 970 psia T3 = 49800 R Process (3)------------(4) (Expansion) V4 = VI = 26 cu. ft. Pt. (5) w T4 = 2880 0 R P4 = 45 T5 = 22200 R E4 = 650 V5 = 70 cu. ft. = (E3 - E4) - (2 F5 = 430 - E1l) = (1460 - 650) - (225 - 52) = 810 - 173 = 637 IMEP = B.t.u. = 637 x 778 W Vl - V2 144 (26 - 2.16) 637 = 5.4 144(26-2.16) = 144.3 psi Nf/a = mI • J • g (l-f)(E comb) - 637 (.96)(1288) -637 1235 = .515 or 51.5% Actual Indicated Thermal Efficiency, Ni: r = 12, F/Fc = 1.0, RPM = 1800 P 1 = 8.35 psia T 1 = 600oR (estimated, with optimum &T) 2545 2545 .735 x 11,600 ISFC + E2 = .2984 or 29.84% Ni = Nr = = .58 or 58% .2984 .515 Decrease of Nr from full throttle @ 2400 RPM to part throttle at 1800 RPM Using Gasoline: 13.6 Decrease = 76.5 - 62.9 76.5 76.5 .= 1775 or 17.75% Using Alcohol: Decrease = 64-58 64 = .0937 or 9.37% Decrease in Max. BMEP from full throttle @ 24@4RPM to part throttle @ 1300 RPM: Using Gasoline: (using nax. values, Tables 'I & II) Decrease= 112.2 - 44.75 67.45 67.45 112.2 112.2 - .60 or 60% Using Alcohol: (using max. values, Tables III & VII) Decrease = 123 - 59.25 63.75 = .518 or 51.8% 123 123 Increase in Min. BSFC from full throttle @ 2400 RPM to part throttle @ 1800RPM: Using Gasoline Decrease = (using min. val ues, Tables I & II) .710 - .492 .492 .218 ,492 -W.443 or 44.3% Using Alcohol: (using min. values, Tables III & VXI Increase = ,939 - .760 = .179 .760 .760 = .2355 or 23.55% Theoretical increase in IMEP from r = 7.25 using gasoline to r = 12 using alcohol based on fuel-air cycle. (full throttle) = .186 or 18.6 % =36 - 199 = 37 Increase 199 199 Actual Increase (using max. values, Tables II &VII) = 145.85 - 130 130 15.85 = .122 or 12.2 % 130 Theoretical Increase in thermal efficiency fro r = 725 using gasoline to r = 12 using alcohol based on fuelair cycle. (Part Throttle) Increase 515 434 .434Incease .434· Actual Increase =.2984 .2725 081 .434 .2725- .186 or 18.6% .0259 .2725 _=.952 or 9.52% (a) Charles Kettering Study: (Ref. 1, Fig. 13) Max. BMEP @ 2400 (High Compression Engine) = 127.5 psia or 12.5:1. Max. BMBP @ 2400 (Stock Engine) = 102 psi (r = 6.4) Compression ratio factor = 12o5. -1.95 -6.4 Ratio of BMEP's = 127.5 102 = 1.25 For compression ratio factor of 1.655, ratio of BS~BP's = 1.655 1.25 1.95 = 1.06 (b) Max. BMEP @ 2400 (High Compression Engine using alcohol) = 123 psi (r ='12:1) Max. BMEP. @ 2400 (Stock Efigine using gasoline) = 109.3 (r = 7.25:1) Compression ratio factor = 12 7.25 Ratio of BMBP's = = 1.126 123 109.3 = 1.655 CONCLUS.IONS AND RECOMMENDATIONS (1) For a typical 4-cylinder four-stroke engine to run efficiently on ethyl alcohol, more inlet mixture preheat, ing is necessary because of ethyl alcohol's high latent heat of vaporization. At light throttle and piston speeds of 1000 ft/min or less, the exhaust gases provide, enough heat for satisfactory vaporization of alcohol in the inlet manifold. But at full throttle or high manifold pressure and at piston speeds in excess of 1000 ft/min., the amount of heat transfer from the exhaust gases to the inlet mixture is insufficient because of the time element involved. This warrants a more closely fitted heat riser system between the exhaust and inlet manifold to reduce leakage of the heat from the exhaust gases to the surroundings other than the inlet mixture. Unfortunately no effort has been made to isolate the inlet manifold and preheat it by some other means and determine the heat requirements for optimum performance and economy at full throttle and high piston speeds or RPM. (2) The preceding analysis shows that a typical 4-cylinder four-stroke engine can be made to operate satisfactorily on ethyl alcohol with relatively minor modifications. 37 A study by Charles Kettering (Ref. 1) shows that when the compression ratio used approaches 12:1, the actual increase in thermal efficiency is less in proportion to the theoretical fuel-air cycle efficiency. The results obtained in this thesis are of similar form. The analysis shows that the ratio of the actual indicated thermal effeciency to the theoretical fuel-air cycle thernza•l- efficiency is lower with alcohol at a 12:1 compression ratio than that of gasoline at a compression ratio of 7.25:1. But this drop in the ratio (Nr) is not due to the fact that the actual indicated thermal efficiencies of high compression spark ignition engines do not rise as fast as the theoretical fuel-air cycle thermal efficiency as compression ratio increases, for part of it is due to the less efficient fuel distribution when alcohol is used. According to Charles Kettering's report (Ref. 1), "if the compression ratio of an engine 6.5:1 were raised to 10:1 or 12:1, little gain in power and efficiency should be expected due to the internal friction which is brought about by their lack of riaidity. Roughness, increased friction and other mechanical problems tend to counteract any gains from high compression ratios". This thesis disproves that statement, for the re- sults indicate that there is a substantial gain in power and economy when the compression ratio is raised by mere addition of a block of metal on the piston head. No appr~ciable roughness nor decrease in mechanical efficiency is encountered. REFEIRECBS ..tilization More-fficient of ,uels by Charles Kettering For the Ppreentation at the SA' M3I7ER M•4TING June 1 - 6, 1947. 2. Teclhnical Ch-r cteristics of Alcohol - Gasoline l1ends Motor .uel ,.acts American e•troleu: Series - No. 1 Institute, New York, N. Y. 3, The Utiliza`tion of iower Alcohol in Combination with 7lormal.an &,,eavyFi-els in i_,: Speed Diesel •n~incs. by Dr. I,. A. and T. L. .a.vemann. ,1. R. K. Pao, A. Natarajan Narasimhan, Journal o : the InCian Institute of Science Vol. XXXV, N~. 4, 1953 4. ower 0Alcohol, isztorr and Analysis ,merican Petroleum Institute, ,ew York, N. Y. 5. G~Z'Ter Diag.rns or Theoretical Alclhol - Air and Occ•ne -7Later - AirZrixtures b, i.chcrd liebe, J. i. Shultz, and J. C. Porter In: ustrial and ngineerin C'hei1stry, july 1944. 6. Elenrent,: of Internal Combustion 3nj-nes by A. •,. Rogowski. 7. The Int ernal Combustion Engine by Ta-lor ind '2.aylor. C. Fuels b and Combustion M. Smith mand K. Stinson, odition 1st .cGraw Till Book .Com-.any, I,:92. 9. The Performance of Alcohol-Gasoline Blends by A. R. Rogowski and C. F. Taylor 10 TABLE - I Series "A-i" Part Throttle, 1800 rpm (945 ft/min) Fuel - Gasoline BHP IP IHP BMEP ' IMEP c=l. 3 5.25 5.12 5.12 4.97 4,77 7.27 7.04 7.04 6.99 6.97 44.75 43.65 43.65 42.40 40.75 61.5 60.0 60.0 59.6 57.9 !c=1.2 5.05 4.95 4.87 4.82 4.71 7.07 6.97 6.89 6.84 6.73 43.10 42.20 41.50 41.00 40.20 ..=1.1 4.64 4.58 4.51 4.44 4.40 6.66 6.60 6.53 6.46 6.42 C-1.0 4.04 3.98 3.87 t=.9 Nm ~BSFC IISFC .727 .727 .727 .711 .704 .747 .766 .747 .782 .797 .543 .557 .543 .556 .561 .377 .377 .377 .373 .365 88 156 197 213 217 26 27 28 29 30 60.3 59.25 58.70 58.25 57.40 .714 .711 .707 .705 .700 .711 .715 .721 .730 .727 .508 .509 .510 .513 .509 .373 .368 .365 .365 .356 131 162 208 218 223 31 32 33 34 35 39.45 39.10 38.40 37.80 37.50 56.70 56.25 55.75 55.10 54.75 .696 .695 .690 .687 .685 .710 .719 .714 .725 .732 .495 .500 .493 .498 .501 .373 .373 .365 .365 .365 125 173 220 232 239 36 37 38 39 40 6.06 6.00 5.89 34.40 33.90 33.00 51.60 .667 51.10 .664 50.20 .657 .742 .741 .755 .495 .492 .496 .374 .368 .365 106 200 220 41 42 43 3.84 5.86 32.70 50.00 .655 .762 .500 .365 225 44 3.87 5.39 33.00 50.20 .657 .755 .496 .365 236 45 3.39 3.47 3.47 3.43 3.43 5.41 5.49 5.49 5.45 5.45 28.90 29.55 29.55 29.25 29.25 46.20 46.80 46.80 46.50 46.50 .795 .776 .765 .767 .767 .498 .490 .483 .483 .483 .374 .374 .368 .365 .365 102 175 222 237 255 46 47 48 49 50 .626 .632 .632 .629 .629 BSFC min - - .710 @ 1250 &T & 1.1 F/Pc. BMEP max - - 44.75 @ 880& T & 1.3 F/FPc. I Nv ; T 'Run'No. TABLE - II Series "BE-I" Full Throttle 2400 rpm (1260 ft/min) Fuel - Gasoline BHP IHP 17.52 17.22 16.85 16.78 16.50 20.03 19.73 19.36 19.29 19.01 112.2 110.2 107.8 107.4 106.7 130.0 126.2 123.8 123.7 122.5 .864 .872 .870 .869 .869 17.40 17.08 16.78 16.60 16.52 19.91 111.3 19.59 109.3 19.29 107.3 19.11i 106.2 19.03 105.9 127.8 125.5 123.5 122.4 121.8 -Pc=1.1 17.08 16.69 16.33 16.17 15.98 19.59 19.20 18.84 18.68 18.49 109.3 106.0 104.7 103.4 102.3 e-c=1.0 16.15 15.80 15.62 15.25 15.18 13.73 13.63 13.63 13.47 13.56 .:c=1.3 I pc=1.2 -A· 9 BME•I3P IMEP Nm Run No. ZAT ISFC Nv .598 .598 .605 .604 .630 .517 .522 .526 .525 .548 .755 .745 .736 .730 .726 .873 .872 .870 .869 .869 .550 .5525 .5550 .5590 .5580 .481 .483 .484 .486 .485 .749 .738 .730 .726 .723 77 104 6 7 8 9 10 125.5 122.0 120.6 119.6 118.3 .872 .870 .866 .865 .865 .510 .514 .520 .524 .526 .444 .447 .450 .454 .455 .743 .735 .726 .724 .720 0 44 72 85 104 11 12 13 14 15 18.66 103.3 18.31 101.1 18.13 100.0 17.76 97.6 17.69 97.1 119.5 117.1 116.1 113.5 113.1 .865 .864 .862 .859 .858 .494 .492 .494 .504 .506 .427 .426 .425 .433 .435 .748 .736 .730 .727 .722 0 26 67 79 108 16 17 18 19 20 16.24 16.14 16.14 15.98 16.07 103.8 103.5 103.5 102.2 102.8 .847 .844 .844 .842 .844 .529 .526 .522 .522 .515 .448 .444 ,440 .440 .435 .759 .752 .745 .736 .730 0 44 74 81 101 21 22 23 24 25 87.9 87.2 87.2 86.1 86.7 BSFC BSFC min -- .492 @ 260 T & 1.0 F/Pc. k T & 1.3 F/Fc. BMEP max -- il. ' @ 00° N 0 27 64 83 93 0 34 65 4A TABLS III Series "A" Part Throttle, 1:300 rpm (945 ft/nin) iFuel - Alcohol ____ I~ BHP IHPl ·Ir F/sc =1.3 . . 0?). .735 .:333 .708 .70C .960 59.25 81.10 9.22 F/FPc =1.1 6.00 5.31 _! 5.81 5.81 5.92 5.27 5.25 5.25 - P/Fc =.9 i 2.69 2.69 2.69 2.825 2.69 536.20 7.05C .720 56.40 78.25 .720 57.:00 78.85 .7225 57.00 73.85 .7225 57.00 78.85..7225 ----~-~ ~ - 8.56 8.37 8.37 8.37 8.48 51.20 49.60 49.60 49.60 50.60 7.74 7.87 7.83 7.81 7.81 - -- 80 .383 .CCi 121 139 82 83 .702 .383 161 84 .690 .391 .950 .939 .939 .939 .684 .678 .678 .673 -- 73.05 71.45 71.45 71.45 72.45 .7p00o .992 .6950 .6950 .6950 .6980 .998 44.30 45.45 45.20 44.80 44.80 66.15 67.30 67.05 66.65 66.65 .6700 .6750 .6720 .6720 .6720 1.128 23.00 23.00 23.00 24.20 23.00 44.85 44.85 44.85 46.05 44.85 .5130 .5130 .5130 .5250 .5130 1.965 1.000 1.945 .996 1.935 .992 1.840 .965 1.935 .992 I 5.31 51 .712 .383 88 · ·- -· 9.22 ----- _ P/Fc =1.0 5.18 1i.un Io. A T - .980 .972 .972 .961 9.22 6.66 6.66 6.66 IN -- .720 9.12 9.15 6.56 6.59 -- .726 .729 .729 .730 --I··----·CIIL-C··-·-··-CI*·. · SF/F = 1.2 BSFC ISPC - 7 ..'0,5 '.4.40. 9 .50 6.94 IMBP r·~-~··~-LC·-r~·-C.rr 9 .36 58.10 79.95 9 .42 5.2.60 8C.45 9 .42 Q 6.80 6.86 6.86 BMEP ---------rr·· .998 .998 .998 .695 .695 .695 .694 .696 · 4Z 89 .388 116 .388 143 .388 156 .404 59 80 .394 .394• 118 .394 135 .394 156 __ 1.090 1.095 1.100 1,100 90 91 92 93 94 I .755 .441 .735 .437 .437 .735 .739 .437 .739 .. 437 45 85 96 119 125 95 96 97 98 99 34 80 97 118 131 100 101 102 103 104 ~ 5.25 5.25 5.25 5.385 5.25 BSFC min ---. 939 @ 116 0 .T & 1.2 F/Fc BMEP max --- 59.25 @ 1610,4T & 1.3 P/Fc .443 .439 .436 .436 .436 4L.4 Table - IV Series "B" Part Throttle 2000 rpm (1050 ft/min) Fuel - Alcohol BHP L I· _·_· IHP BMEP IMEP Nm BSFC ISFC Nv Run No. PF/Fc=1.3 7.75 7.70 7.66 7.66 7.55 10.68 11.63 10.59 10.59 10.48 59.50 58.80 58.90 58.90 58.10 82.15 81.75 81.35 81.35 80.55 .726 .724 .725 .725 .720 .981 .980 .975 .964 .958 .712 .710 .706 .697 .690 .399 .396 .392 .387 .379 74 97 118 142 164 145 144 143 142 141 =2 7.63 7.66 7.63 7.63 7.63 10.56 10.59 10.56 10.56 10.56 58.60 58.90 58.60 58.60 58.60 81.15 81.45 81.15 81.15 81.15 .724 .724 .724 .724 .724 .9275 .9180 .914 -914 .914 .671 .665 .660 .660 .660 .401 .399 .395 .395 .395 67 97 118 141 157 150 149 148 147 146 P•Fc1.1 7.36 7.48 7.44 7.30 7.30 10.29 10.41 10.37 10.23 10.23 56.50 57.50 57.20 56.10 56.10 79.05 80.05 79.65 78.65 78.65 .716 .719 .718 .7125 .7125 .882 .8625 .8600 .8700 .8700 .632 .620 .6175 .6200 .6200 .401 .400 .395 .392 .392 .52 92 115 145 178 155 154 153 152 151 .8100 .5780 .404 76 160 vc=1.0 7.26 10.19 55.80 78.35 .713 7.21 ývc=.9 10.14 55.40 77.95 .710 7.10 10.03 '7.10 10.03 54.60 54.60 77.15 77.15 7.10 10.03 54.60 6.21 6.21 6.10 6.17 6.14 9.14 9.14 9.03 9.10 9.07 47.75 47.75 46.90 47.40 47.10 BSFC min -BMEP mqax -- .8020 .5700 .398 109 159 .707 .707 .8100 .8025 .5725 .5675 .395 .392 131 154 158 157 77.15 .707 .7960 .5640 .389 168 156 70.30 70.30 69.45 69.95 69.65 .680 .680 .675 .678 .6775 .857 .850 .860 .850 .855 .5830 .5780 .5810 .5760 .5790 .407 .404 .401 .401 .401 71 99 120 143 169 165 164 163 162 161 .85 @ 110 0 AT & .9 F/Pc 59.5 @ 740°,T & 1.3 F/Fc 44f TABLE - V Series "C"I Part Throttle, 2400 rpm (1260 ft/min) Fuel - Alcohol i ~ ,r BMEP IHP - ---8.76 12.30 56.10 8.84 12.38 56.60 8.84 12.38 56.60 8.80 12.34 56.40 8.62 12.16 55.20 --- -- ~8.98 12.52 57.50 8.89 12.43 56.90 8.80 12.34 56.60 8.80 12.34 56.60 8.84 12.38 56.60 -·· ---8.84 12.38 56.60 8.84 12.38 56.60 8;80 12.34 56.40 8.76 12.30 56.20 8.70 12.24 55.80 BHP =1.3 4jcII 1, 7.08 7.18 8.16 8.416 8.16 10.62 10.72 11.70 11.70 11.70 - 6.65 10.19 6.55 10.09 6.10 9.64 5.475 9.015 5.475 9.015 BSFC min -BMEP max -- 45.40 46.00 52.30 52.30 52.30 42.5 42.0 39.1 35.1 35.1 -- I IMEP Nm 78.75 79.25 79.25 79.05 77.85 .712 .714 .714 .713 .708 . . BSFC -r - -· -- AT Run No. .7375 .7330 .7330 .7280 .7320 .400 .400 .400 .398 56 90 104 123 146 172 171 170 169 168 .405 .400 .400 .400 51 70 96 122 152 177 176 175 174 173 .625 .621 .618 .614 .617 .405 .401 .398 .394 .394 58 91 114 126 156 182 181 180 179 178 51 1 587 187 186 185 184 183 30 47 115 136 152 192 191 190 189 188 -- -- .394 80.15 79.55 79.25 79.25 79.25 .717 .714 .713 .713 .713 .9425 .6760 .9425 .6730 .9510 ,6780 .9510. .6780 .9480 .6775 79.25 79.25 79.08 78.85 78.45 .714 .714 .7125 .7125 .7100 .8760 .8700 .8660 .8620 .8680 67.85 68.65 74.95 74.95 74.95 .667 .669 .698 .698 .698 1.018. .993 .851 .845 .839 .678 .665 .594 .590 .585 .413 .409 .398 .395 .393 65.15 64.65 61.75 57.75 57.75 .653 .649 .633 .607 .607 .975 .9775 1.0420 1.145 1.145 .636 .634 .660 .695 .695 .413 .408 .405 .400 -I _ ___ .839 @ 1580 ,•T & 1.0 F/Fc. ° nT & 57.5 @ 510 1.2 F/Pc. - Nv --- 1.033 1.025 1.025 1.020 1.032 - ISFC .400 .400 9 91 11 L6 TABLE - VI Series "D" Full Throttle, 2000 rpm (1050 ft/min) Fuel - Alcohol IHHP IHP BMBP IMEP Nm BSFC ISFC Nv •4T Rub No. c=l.3 15.85 16.47 16.76 16.96 17.05 18.76 19.38 19.67 19.87 19.96 122.0 126.5 129.0 130.05 131.2 144.45 148.95 151.45 152.45 153.65 .845 .850 .852 .854 .854 .982 .938 .919 .908 .900 .830 .796 .781 .775 .769 .806 .799 .795, .795 .794 25 68 79 89 101 118 117 116 115 114 2 15.85 16.46 16.70 16.90 16.96 18.76 19.37 19.61 19.81 19.87 122.0 126.5 128.5 130.0 130.5 144.45 148.95 150.95 152.45 152.95 .845 .850 .851 .8525 .853 .915 .8725 .860 .843 .840 .774 .741 .732 .710 .716 .806 .798 .798 .782 .782 30 60 81 96 117 123 122 121 120 119 c=1.1 15.10 16.00 16.22 16.46 16.60 18.01 18.91 19.13 19.37 19.51 115.8 123.0 125.0 126.5 127.7 138.25 145.45 147.45 148.95 150.15 .838 .846 .848 .849 .850 .885 .830 .813 .798 .792 .742 .702 .689 .677 .672 .810 .805 .800 .798 .798 30 57 74 97 132 128 127 126 125 124 Pc=1.0 14.21 15.10 15.50 15.60 15.60 12.65 13.24 13.82 13.90 17.12 18.01 18.41 18.51 13.51 15.56 16.15 16.73 16.31 109.2 116.0 119.6 120.0 120.0 97.3 101.8 106.4 107.0 131.65 138.45 142.05 142.45 142.45 119.75 124.25 128.85 129.45 .830 .838 .841 .842 .842 .814 .820 .825 .827 .860 .803 .778 .770 .770 .873 .830 .790 .785 .714 .674 .655 .648 .648 .710 .680 .652 .650 .815 .808 .805 .800 .800 .820 .815 .810 .808 30 51 81 105 127 30 49 37 97 133 132 131 130 129 138 137 136 135 17.09 109.0 .770 .639 .808 119 134 c=1. * c=.9 14.18 5".., " _ '.r~a • Sn 131.45 ,830 4 l "q L m('u lq • "' 'u rP c BSPC BMEP min max -- -- .765 131 Q @ 115 1000 akT asT &.1.0 & 1.25 46 TABLE - VII Series "El" Full Throttle 2400 rpm (1260 ft/min) Fuel - Alcohol ii BHP IHP BME•P IMEP 17.77 18.40 19.05 19.22 19.22 21.18 21.81 22.46 22.63 22.63 114.0 136.85 .840 118.0 122.0 123.0 123.0 .844 Nm 140.85 144.85 .848 145.85 .847 145.85 .847 BSFC 1.017 .964 .928 .916 .916 ISFC .853 .813 .786 .776 .776 17.70 21.11 18.50 21.91 18.90 22.31 19.1.0 22.51 19.10. 22.51 Nv 113.1 118.5 121.0 122.5 122.5 135.95 141.35 143.85 145.35 145.35 .839 .845 .848 .848 .848 .941 ..890 .866 .854 .854 .790 .752 .735 .725 .725 .. AT .776 .761 .760 .756 .756 - -. - 1. 2 ____-_ __ -- ,· .774 .766 .751 ,758 .758 Run No. 9. 48 70 76 55 56 57 58 59 4 39 61 86 100 60 61 62 63 64 80 Y 16.60 17,78 18.20 18.50 18.50 20.01 21.19 21.61 21.91 21.91 106.5 114.0 116.8 118.5 118.5 129.35 136.85 139.65 141.35 141.35 .829 .839 .841 .845 .845 .905 .835 .828 .814 .811 .750 .700 .696 .689 .687 .773 .765 .778 .775 .774 0 37 45 67 93 65 66 67 68 c=l.0 15.90 16.90 17.40 17.70 17.70 19.31 20.31 20.81 21.11 21.11 101.6 108.3 111.5 113.2 113.2 124.45 131.15 134.35 136.05 136.05 .822 .832 .834 .839 .839 .865 .807 .778 .762 .760 .712 .671 .650 .640 .637 .778 .773 .765 .763 .761 0 29 37 79 101 70 71 72 73 74 c=0.9 13.00 15.00 16.41 18.41 83.5 96.0 106.35 .792 118.35 .815 .962 .826 .762 .673 .787 .780 12 41 75 76 15.15 15.35 15.35 18.56 18.76 18.91 97.2 98.4 99.5 120.05 .816 121.25 .819 122.35 .820 .812 .802 .792 .664 .656 .650 .773 .773 .773 60 75 89 77 78 79 BSFC min -BMEP max -- .760 @ 101 04AT 123.0 @ 80 0 AT & 1.0 F/Fc. & 1.25 F/Fc. 69 4, TABLE - VIII 'Series '"F" Full Throttle 2800 rpm (1470 ft/min) Fuel - Alcohol i·· i --- L _···_ BHP IHP BMBP IMEP Nm AT Run No. 0 199 38 198 .949 .781 .718 47 197 .825 .826 .940 .934 .775 .717 .772 .715 79 96 196 195 132.1 134.1 135.6 136.6 136.6 .820 .826 .824 .826 .828 .916 .898 .880 .867 .867 .751 .742 .725 .716 .716 .728 .723 .720 .718 .716 13 35 53 72 89 204 203 202 201 200 128.7 131.6 .815 .820 .875 .844 .714 .734 .691 .727 0 38 209 208 24.39 110.0 134.1 .825 .821 .677 .723 60 207 20.25 20.32 24.57 111.0 24.64 111.3 135.1 135.4 .826 .823 .811 .808 .670 .722 .665 .720 92 105 206 205 18.25 18.83 19.10 19.32 19.32 22.57 23.15 23.42 23.64 23.64 100.0 103.0 104.6 106.6 106.8 124.1 127.1 128.7 130.9 130.9 .810 .814 .815 .816 .816 .835 .804 .790 .776 .776 .676 .655 .'634 .634 .634 .734 .731 .728 .725 .725 11 39 62 74 91 214 213 212 211 210 24.27 109.2 23.64 112.1 139.3 .815 20.35 24.67 111.5 135.6 .824 20.50 20.60 24.82 112.1 24.92 112.5 136.2 136.6 c=1.2 19.75 20.05 20.35 20.60 20.60 24.07 24.37 24.67 24.92 24.92 108.0 110.0 111.5 112.5 112.5 c=1.1 19.10 19.65 23.42 104.6 23.97 107.5 20.07 1c=1.0 Nv .800 .724 19.95 •c¢1. 3 BSFC ISFC 19.32 133.3 .821 1.01 .975 BSFC min -- .776 @ 740 gnT & 1.0 BMEP max -- 112.5 @ 720 &AT& 1.2 P/Fc .823 .727 0 - ~ -- - - - - - - - o l L !1 ViC< ,S Qd -4 K iz cE~U C Q oC 11j K3 ~~"-"~ "-"~- [riil ::4- i~l- El ~; 7-r 4 +-F *f*- 2A L'~L 4_ 4-- r:1''.-:-rl.. 41; .74 I--7 Li 7, Thh -7. 11,7 't-_77qf i-____ I It?. o LL -- 'T m.. ?. t~ai -7 -- ~Lt-. 4- iji 4T4j Lw. -t-+- 7 ·- .. T; *-'r- r 4 -r +( 7·r~L o_ ý4 t:A i ~ ii-i t · r t-lt- .· 111i t 171 I.. 11S·~I -14 + -I7 IT 'HE '-:i -~r -4 12: - 'i..r: :.*~t ~··7 -. Pt T p.: V - '14 -.· · r ,. t·-· -t- 4_4?Ttl_~ -7 - t~~-~tL·' ,.... - 1 44--+i-f L.-- rt" rI' 1. . · .4 7tl -- ...... -t Li 4- 77!7 f i- ; _ý4__" S" · · :16a .- -4,;.. _4 l +4' " 4ý4 ?.4- t:4ý L-7L I. :ijt~~tL · i-t· I L4- -;-4_ · l--4-4-- _1T 17l .... ..·... ~ V Lr i 1 2 j C: I jt ·--i·r 4 j L ~~t"--j j 4 -t:--- -- ;-ill;..:. Th·7t:4j. - -·- 'Vt -··- -- j-. ·· i-__ :.a. 74,-; . 7--7 4 - · -- :- t-'4 I~j -ti. L.L V. .4--i -·;7-- t .. -ThýT ... ir -4T-.~ W T 71-1 7!L 4 41 _ ..-- :.-- 4.I 711 L ·ii5- r-: lrj .T: rrtl *·+ '. '. L~i;TDr -L I~ 4 4-4ý ! ` j-C·(i 1 ·-h-j ý7 ,, Lr t---.----. .- A: 1' ' !_7 LI · -rt . :-7 .4· ev~'?;·~.+t~:1er-~~· 47 -r ...... -`- 14-. -{ 1-' :7: 4-4r Y. 4i - '144 'T EF, i '!7L, Vv '4-4 ·-- :-cii 1. 7- _L- -7 .tST i. f- . -r... rL1L' L 4 4_4 · -T.'~ K>~f ----------------- ~ ------ --- -- - 47 I -.- -4--.- ·- c-- 12.)t .4 i-i-2-- . 4 -. - I-, 1 I- -K S-2-4 2:7 .. Ii-'i.. tot K- 4 ; - L-- TiZ i-. 1. · c ~ S .4 - . - ·--- 7>7? :1.-:lr - 71 .4., :- -·?--. 271113 ii A---- j_ 1141 415:---- ffi - 1 -11 1- -- t&L H i .- · ct.-1- c- II I-·· -'-I.t-.-· iI- I-, 4'.- j f-I 7+777 ·- -1 74. t 1 .1-j t··· -t LL.JT--4.., FILL 1 KIA-2-' --?- -~--i- --- -- i "ti·--'-:T-_l_. L~Xi_ 2-'l_.1TV--t4-fLt . ;-;-i-~·tl~I' -* t 1.1 :j·-: +i t -·-- I -F T I- Mrt -··-r -· · I---~ -_·- --:: ^.. I. 1 t ~-bi -.. - . i-Li;- _ _ _ I I 7; - 7.t I :1 IL- N-1;------ -;L S17 . .- .. . . . . . ... -4-4 Tli . I Tz- -;: A7 4 -.- '--' dY,*q, I: -i~ t 1-. .... - L- _ .. ~. A "- " -- 41 ...... i ..... L- T A ". i I _i J-. _ _ -I-'II- - · ·-- #4½- A -~ -· :;- IlfI7- ... AD 1 :717 441 A~~~ -I I H -·- -H; .-.. 1, t 7 74 Tj i- :,: .. 4 1 V 17 R'-T:>- I -t I---·iI: K- - ;-4 ~-' ... T 1' 4::! -------- -7 '·-r- -4-. I -r- -4i~ o -- '74 ____-~ti~"~ -l '..t ·- 4 I 4 .- I·-- ~.f Z 4 i:··- .t. ·- --- 2- 111 !%711 t ·· TT: 1 tr · - . ,·.·1 .i: 77.-41..I-1 '- -- -r-~ t-·~--- . -- I 7- .7T- i 14 :I_:a - 7-.-. :±tt.- 4: 4q - ' .ý-4- . .* __ LL- L S; -L4++- .i-L 4- N: .-. ·.. L. _I ; n--H .. T.7_.. F t4 ~--LL· ' 44 ý- 4-L-7 -L -4- -4-r- &+.: .,-L- ±ý4 +1 _ il-~t-c -1-4 4 ...... F . ,, ~:Ln ~-~ IL'T, r-··i.--r %L -_·-~ .; 4 .;4 V, . J--;i ±4-- . . -4-- 77 -i - ... *1-· - ~ -:4i +r -· .I· ; -- r:~t~-~: i- -4 APL sy ii4 - 3 Lf 1 7 7.77-7=- t ·- · (-··- t, ii .422 :: I • I . 7t-t : .... i ..... 4 I r-·~· .i ... ~..-. ·- 'C·-i--·! · -- rf ·--r"~T ·-r··-r 4-·. 4 ... --17 4-.- '`tl ; : · i·-?-·---- cc-- - f ;- L_:- i,. - .--. i I-; j r·.- ; I . 71 r ·--Z.t- ; - 1.---·-.i- -·- i-7 -'---i 4T. .4 H, .... 4 +- ti -- --. , N1,i •-T"-L :-T-I". 7 1-4- -·- 'i- -. _1 : · ..: .... ,..-.., cT7T: I..J....-TI t.L A., 7t ~T: 14- it 77p i·t111:~ 7, 4;1· .i 1 I AE. e--40; IT~A .:Ti- .1 •;i•+:.- . Si l _H_~~i .... ,1 _j-. . T ,tf~:.: .4-- , Trt .,.. L - · r "J• i ·-' ... ' . -.·. •.;;:..; t•.• WjT/ ...~ . ; 7-- .... ,j -4- t 4: i·'· -T?4r IT*I il-- · ..!.L · .1.; I .... .. , •.i.... L'--4 t"•" •--. ±4--. -?-4 + -tl i L~L U.~ .44- t-l ' · c·-iC :T ~- i-- ' ~LI +.- ;. .. -- I~ j ! · · :-r ci- Itt .,Lt :ýT;:l !-C1 I-·;r _LI J_+ :·· ·-- . i ..LI~...L· c··--~· ··· '-':21 -r·-· r"r Lc.i·-tI I -rrr r·-1--I; --ii~-. i·-~1.Il-i r;i·'· ;--·- ztt .4-- :.; 1..~.-.. · i~-i~~77~·~ i ' f -~;I- I-·--iI-Li~··_L · ~-r--LCcc C--;C---·;-cri- I---;·I ~z :1. it, I I; -4-1 .,... 4.- 12:. I 1 J ~I --- ~ -r---: -· -·--· -- 1.. :·:·-· '-r -e-· ··t~-' II- -4-" -r-- '-2- +t-:4-i--t L -------:i · · -· - -t i... - £.. t-c--~ 1 Irjlru -c~-LLCi-- -LY 4 · · :L1 - 4~*. E-5tft7 Fft~r - .-.-. i~ II '-7% LV 4.,' ~r~ -70--'- ~T~i jj7 -4 47 14- X7 I 4-+ '4-HH 44- -4-4 - 4.w T1.1 -4. ~ V..- H41 1T -r- 7 Mtil 7-44- :j;7 lit- 4- r4 4. - ,~.1 -IIEF4. T7~ JT: .4L * 44- T- E.T_7 -. -1 '4 -:Lt H-'--7-. 4--t-' 4- -fi~ -V 1ý 1.4 TX H-. Nj F:.. 12.V 7H-7 -4- 4 -T4 -'-'-I+ F-"' '-4--.-'- ±4~1 ~4i 7=r*"+' F-Hr 1~ 1=7 I H I +r-H 4'-. = 7'~ =7Z4-4, 1~4-4 -L77 I- I-:7. 75 '-'--4 4-..-.. -4- '-1- F-.--. I- F• iI,1 ii -4 m 14 -147 7ql -74 77 4-;11 14 4- -4T t4- 44ý - lk~ --. r 4p 4 .-17 4-L 71-7 '--4-7 14- T ;224 14 4-4F --4 -4-- -'7 164 4-1 --- 4- t-. --- 4 -I ~21 -4 4-. - 14 rn~ E-4 +4-1 LL~ -4. F-i~ 12 i-472 14 1~ 4-TIt-,.L-i 12:12 - -'-4----- -.- 14 -7- 7414 -4 ------I -i--h 124- 77t= 14 14 fri -4- 4 14 14- 14 14 'I *1- 4-. 1 '±4 2tFF -t 14 --L4 1~~ --14ý 14 HI-I ~i4 - + 4.,- 4+ 7- -14 4i-tm -4-4- ~- 4T 14 14- 4-4--f 14 14 i-+1±54 -4-k I -4- 7-- +44 4 -TTT -- 4-4- T i ±4-4 H--+H14 -H- 1214w 4--!4ý r•--°T L TI iT-- 77 11 --- 4 1 I41 14-2 -r 12~-~-' 14 14 t4j~ H- H- -- 4+ -- 4 •I 14 | i1 14 H-v ~1+ff~ 14 '-4-f.-.- 14: R'4• M -4+-•÷- 1 P1 14 E4ZE 14 4-4 T--4- -4T-i 4+- -4- ~..! ! m14! ]! 1 II 1I 1 I m 4424 -4 14 14 -14 TT4- 51 -T 4 144~~12 +4- @ ••1 14 14 tL,4- -½ H4-Ji-+4 .124424 i .4. -4';; rc12 22..4.~ -4- P -1 rC~--CI-r L .r t41tw-i- I t jii:C_-i. W K ~ý -4 _ L-7 44.. l f'r la _ 4-F4 il(Ii _-- 'F -C J1 4 i i-· ~ * - -. -, F- '- <- $2 -QtlLt~;t 'F-C-!- J u I--- E-r- 44 tt, T-r JIi 44-;- 4-~~ +Ji ti.LC. 4--' t:L- V'- _ 4-4 t-- >4 - - -z: 1---'-: - Li4 i 4 +1 -·- -- _F _T_ f-tH ý4 ,- rj'i 4"_im t 1 1-7 -T " 'L L -L, t-Zi IK I~i.Li · -' j# ~i. .~'~~ 7- 4' - 4 _ v 4i -i I-tLI4I-- -4- -r- tnc ~i :tt-r' -7 -- TL, i-- :--4 7 -t- 44 4+4 -r S'3 IITTL Titf ii~iL-1+:itj-L ·c"c:tl';1,-Ct^CtLitHILC -t14 7 tr- Li_) 1--7L-~I1 i4I- _4 q 4-t AL; LT- -T- t+- f+;t- 7 ii--i! iq r R+;`'r ;I-tlF 1K I ttt ,IP. r 515F 1PT T4- ~4-4- 1ý-'- 4'-. 'U -4 4-4- FE 7--- 4tL ±± 9±4 -T -AI I--i-_ .- -H 4-J 4-'t t-t 4+ 4-rt- fi 4± -4; 4-H -i IT 4-. 12 -;4 4-- 4-' 44, -4--- V.--. 44--'- T+.. 4± -41 4-- 4- 4- 47I IE itzz -i-H Z4-- 4-... 4-4+. 44-... ..... .41 I7= -4-4-4 4----.4,4- 4t H- hEi 4$ -"rim 4 44-. 44f 4- 4P-1 -H -r L-A- 4-+ Th 94 4,- "4-H-, 14 4-iLi 441 -ri-i 4-- .4 -774 1± ~4..4 I -1 5+44 L-4 FT. ft I 44;. -$4 44 4 t~ -44 t-1 rý"7i :tn ~1~ 12 4, I a -77777 4iT :ii -4--. ~V 4- i-U' .4 -- tt 4--i 44, i-H ý-j7A- ++4 ,4- 4 :4 4 -t T4 4-4--'-- i-J~-4~ 4'4 izT 4-h T'-?Tr-(• r-jims-. rt. L: T H4 .4-' 4.4 T A K.1. l'!,.I;:ili:: -, 4- 4'17-- -- -r I ii 4 ACi ---. _t__t 4-t -4 -4j- .~2 - 7; 44 p 4 7 ~ 1 -47 --- -1-- 17 H--~ _ .__ ml- 1i- 4I 4 __ i-L 4. M - 24 - -, ;- -i-i V , ~ I T·- -- t7.1;>; I -4 ~ -I . 4---r -17 --. 4. I-. -L:L cl4'I ILLI., H Lf *1+·L~~ i - 1T 4 1-.it j4 4- - -4 T-1 444-'-4, ila: ----1 4+TY-_4 4- 1 -L++ P4E 74 T 77 IT, i 7 '1 ý:I"T ---, ---- ;;7t A 44 -- h - i~i - .1 :i - t :-- -4,4 L.- T-, V-h t -'-· -EL L ~77,7~ +---'i-7 ·- r ti -r- t-224 4 ----- 44-+ tmt.--H+ --·.. ·Cri-,( , ::31 1 t 71-1 -4- 4N4, IV + i t 7 .t. _ ýti Xi; - I 77t -- 4 4r -f +; i ii~i lllr-~ ~-t·~tC: L4- I 7 -1--_Eý I :;:: ~ 4- 4--i+C 44 ýAI ~ 44' ~ ~ -74 _1 - 1- 1 1 il41 LI: T-i7 · e;r ic +tI· ·. fL 14. ýT- 4 4-i i t~f ii -tt~-;:LE- 4- ~ F Lit _TII _,_ i 4 r 14-- EL ~ -17 itr~f L iie- -I ft-I T7 -i -4TJ -4- 4- · --j 4·r- ·- -7 -t l T- i. 4;-- +1 1---17 i7- LI 1 TI 4-;L -·-t 'i-r ....,_ L i ·· IIi ,:- L?_ :, T- :--- TT I .-- =Z a7L-L S -- .·-.ii---!- L;l 7477ý j- JT_ :I~_.... ...... ·-;- T 4-: 11 -----J-1-Ir k -7-7 -' 1 ;-4--- I·- -7ý71- 7 ;---- t;-ýf4 A ·----·- !C TiT7-- iiti -7. ......... F77---. - T---t 7l r +- .-r~- -r .... .. - 4 - c; · .4 :P4 ý LU;: .1-. - . i7 t-T-T"+f T :- i- I-L -T-I- "IT44- 4-. r i i·17- 4-c :Z i-41 T-1 ri i -j 1-44ý4 T. -· i-i 1·i-: i -i. ;-4; t·+ t~i:Lt·i C --r- T.- r -T-: 4Jti I.L--; -- -. 4 ML - 4-4-71 --t ;1 7t i:ff 14~-1.i~~..I L.!C: I 4t--~-tiS -1·--;i i 44ýi- ~-~iF~~#-~-·'~-7~,i L Ir t4~ 'FF I~-4- -7 1,; . tii~ r ::-- 4-1· jT if -4 ~ 7 7: 4 t-F, - ~trf~:t~~u-~:tit··i-t)-t~t J.· ~1s trt ~t4+·r- 1ý -.- . 4 1 rK i ý- -H7 =-+-trp +p i4 ý4 _ -r f i -. _J:-· 7 V :ii Eli 4 3~f~, 4-L -- -;..... t-r t f ...... ~ ~ lal t ~ilr, 7:t: LS; i~i ----- L--7 __ - r 44r 4-4- H · L LI 7 -1 ~-fii 4LEL fi I·:4 LtL 4--I 4+ T: t-t-4 7' _4' 4u 4 - mm 4-!-. tt-f t T_4 --t- 7 t r i- 't-1 -. r IT r TT - . -r4. 4441. HLL .ii4 r-'r -44 t't+'· T + - =Z-L 4 -4-4: 4 4% itt t-- -4 Ti- -rFF TFIJIJ +i-r T7 ýL-I .-. · -h-it ýT, -w - - --jf 14-i i-T1-~i-;. z4- ·i·u~ +t 4EZI-17 r. : 0 t- TIA -- -- · it p1 II t7fti ¶ rr r~ +t -4.- =v p' -'-i--i-+ i·Ilp -r--I..-i -ST4-7ýý -T-.. T., -HLT ME -, - -14- 1ý - 7Z 14-1 L 71-ý T U t-r 44-· r i.. *4-4 ~r~ttc" t~-rT7'LL T~fi t4 r. yr t .4. -t+ -- L·- T- : IL .r -Q! - :4: -4 IL 4;4- -ý -r --- 1 -44: P- 117O _-ý.Lj. 'ij7.. , -...2i..T '- f4 VT VIl~ Fr r t-t 117 j4II -f--- .-. I -i-~ I $ 0- ~. :7:-:t- .. ........... ,~-F-..,F-7 - t -i 2i t -i--li-4-i 1 d -A ~ 1+ .-...: L IT .:$: 4~~ 1 rt A 4 -.. i-4 7 .. . 71- m- :7j 9&iU -*L.. -7 r .: _4 2 r-4r- I-I L L t _. 1.: .. +J 1ITvt .7' .7ý174 -7'7j-.7 I- IIT 4 i - 441 E : . . . ** ;71. ~F: . ... .;77... . . . .... . -tt - '-t I-J-"-~;i"t~t~-t~lt- _ -H rr { .1. 7= _L -- -rC -. i..· rat Mrý ½L±L4.4 4 14'-sHT 4i H 4- rr 4.I 1-7-4 -7 - .1: t:f - * A fI .L - 1 .: - -L -4- -L L - -- 4- - - ~ j.44--4; L -4 .- j4 4- ~i-- -1- T~t ~L_ c rr ti'I 4 4ý4_ 1 C~titi~-f~i~,_t- lLL(-fit~~~l ~r~~TTT'r F~~~Fi; 4- L~ IC~C~;L _1 11fC·L~~-~-~I-~ ~-~t~ *77 4-44L tl~cfi~TI~tt 'U-r-·L ie~~(·)--~Lf" '-- · -#L-t7Tfi # -r·i :'i~tj-L- Ic - F·-L7 -T4 1-r 4-1; T r-.-~~i- L~ti~· +1 H C:C~-I--I~C-? · ~?·i·~~rl4 1--';-;PLIZ=-:- 4 · it '~a i.L + : rjrf~ -r Of i··-·- -:.-:i-li-:.'.LL Tt' i ;+ w. T -i1 7. 4-: i4" S4 L~7 M iit; 4-r4 ý -- r t:_L.. i4-a -T 44ý Tij' Ti'i- I--4 .:T i- + 44- 1t- 7:_ i--TT -9-44- 1.- _,f 4' I4i+ i L-t zi 'TT? -7 H- 44 L A " J4-+ .. . H-L-ý4-~ 74tI~~ TTTi -iH44- -Lý 71 4; .17 ±E-E?- c~ 1.. :. -;44- 4 T__t~ttt+t- ~ ~"nDitt- cl4;7·:L47 !ii~j ;fJ A t*4- 4ts~l 7-7- '" t- +L: t:·e~ ~~tilt~~:it~~-t- - :+tl~tt~: C~'tf4ý_f~ - 1- ' 4 1. +F ~ -TL- > V ?ILL fEi EE 4 44- ' L fit -,1- rj-, L iTi 7- t ii,~ - L jL T ~Kr : itT - L: L -i- ,. 7 ri iL._. -4 It, ir _t= j .1-7-ttJ cki -4t-i -~ -j- I.. 1-fi = 7 1 -4 C t.; ~ , 4 r-7- .4 ii4H -4 W~- 4- i: _T - -t-- T- t---~ Tl- L I -ý: --,- -4 I -j-ý1--l' .... _t - -Wi ILET Ti .-- i i~ 4- ~ ... LIT I_ I 44- r44-44 - T4L,+L:4T -t 1-1 LI , ****- J fZ. -t- t -4 7 -- U- --- '-'-I .m7 Tr- : 44- .. .. 4f- ... II 4-= --- J-7 __4+ t -- -- 4-- jr'--J-1 . .. Ml pl1 zaiL - , "4 :: .. .-- "t - I;"M L : 4, i~-i . -T -LI JiT i- c· i; · +1 7-7 Li-:·-.:lLlL.L4!-! .. . - 4r__ Tht4- LI-. -- 4- 41-414~- 46 1-- -. :-7: L ; 7 I ...... · .- .4 , . _. - -;. ,. 4-L - i' $i -i -"'Fi; 1+ fL~ ý44-444- -L I_L_, tt-i-i-F %crf -t 4"- -4-4-1 t7 -1-t _:tze-t-- 4-7 4-. ~il-t i4-itri1 ++ L. ;.·- -TT:3 TrTT:: t.. 4- --- LI. 11, H-i7. 4- L t +; ;-I.-/-.4- : L;LI: J- .4- 7·;- + 4,- 4 4- -4-4-14-4 -4-·--- .... tI 4- H! r: I -4. i+-r l'- 4 t +i +t.-.·· + 4ý. 4ý'4-T1T4_t ' IT i Tr __777 . : .- : ., : ; .. PT T T'ii 4- 4-- t7 r ~ In :!.-M Lz -7 i ·- · i+ T i-;i+ i i- ý .rt4 ;T4 +1 . L It 4ýi 1 i~ itt ;L~tU-tn;f~-: T :~~-f 4+itt.--t J- C~~ttf~l + -;-ti ý 4; t~i~~a r1.1- ~ -4--c frr J. + -i- i~!l~-- ·· +· /~t · 1 41 it J., -H, .144 -t-r ~ m _Z It.·-. T +4-1- it: 4till 4- .· · HE-·i 4-- tT7 !i7, CL-r ·· " -* 2" r _T : 4 I T. ttl ~ F 4-ri-r -T ý:ar aý -- 4--,. -4r- I: I- T I -4 14-· 4-L4- i iLi i ... ' 41 -r rr -44- I-i: r ·!4t . i= -r- -4- i; I. - L-4. -- - _4 -- t+ m ; 7ý · 7= q- T·- -'4 Z_'T 4_ 4t 1 r4 1 T-4 77'i t.- IT -4 E-1 r': 4-i ;;. -tl 4- -- .~:::~ 4 ~i~t .h ~ ...... 1H, 1L 4-rE Tr 4-.t T_ V-: t!: -T i Jw· r T -7 .;-t. . .. 44-i- + 4I-it· 'IT 17`+t H. r LI :Z . . · rr +4- Pit -r· 444·. ~'t·'- i? i l·~I~Firtfi ti 7- 1 I-l" .L~.j 4 :41 ;' -774- At.t~f + r; ·- 4:~ :.i., Ic .L~. ZU-FF T- -44- i- t;-ý"44-= ;-·J4...I" +-r I~44-, :i T-L LL 4-- j I ;:r +1 4 T. · -L-:.- rut.,.-~4-i- I HjTIri: r ~t L· 4-i ft t -4 L( 4. -4 iI i - :- 4t~ :L4 4-ii "±T i4: ·- · 4.. . I :tj 4+144C , --it- -- tt JA2 t 4-L 1Z1 --i -L r3~:i·; CI-4-L ~~-f~_,R- tt C -~;·i i-· i:+4-- .4- - -4-·- ;·f:i:. · · lc. ~l 4+4Arm -- ~-r6rt~14-1i· : '' II I - ý i I P+R -rTT +444 t i-CA !..-1_ jl~ --r- f.4 I·---J.;-LA : -4--! ,1 -H r4 r Hf-. ~-tA-. ~ctcccr ~ tc-/-PHS#-cc ",'ct. '·, tt)S· .. . '· i nl I I· II· ~ i I· I I: I I I I I i ::I I· I I· I I·-- ; I I ;I I ·.i·:?-- it , · ,·-i·- - '·;l ·· · · · : : · · I·. .V 1 +9;F+ I I H 111 O n I U I · · ·1 · (I .. iII-- -- II ~~- l- 00101 t- HH t-)t-I l-h-ttf+H 4f I-H-.•Ht+ id' I .... ·.....-·I .. ...... L ~ · - · : I l %-t i-c+;--~ -- ..... -,I--t. - cl -1 ·-: -- II; -+ ' ·-~---· -·--- · ·-- -· 44- 4-.r, -r.- - +-.r. " · ·J !-. , -f~ff •-,- i-+ ~:1 '"" rtt' "" '~' ' I ~t~=L;i. t· -t M ,4-i-. it 1-4 IL A- -1 , I I- -----·- ·- ·L--- ·---- -~T" LEEý-E i~r ~CII- - .1 H-;,+!-t-•-,--f ·~-( ----- H-i-H±r4--u :. ~'-"" 4-44 11 1111, 1 trfY~ri~~-tl3tt+tfti ....... t~rtt t -tT1 ,-+ !4 4- --•t- I•+4 -:--H ÷ ,- I-LI t-·e---- - .. .4 +44--I 4- Im -·-J--.--T · ~ r r t f - - +4- -- •-4" - 1-t2,t t 47 K :1~ L~jdYYp~%lt~~;Crr-~?~M Lr4)C~1 i·-tttCti~S--- 444~ 4CL· ITF2+T -*h l!.. -rifr -.- L4~~,*H-I2 V·: i- i!- 1 + t-ri i- 7 I- ~l. ? '- 1- 1 IF._. r I_7 ···il i_ ji -a -irhJ.-4I-t t t ý".II. ., 4- ;: ~I: -I- ýJI .. :-. J. 9 . -. r4 L· 44 i _4 I 41- f9-; '-9 Lt- 44 ii t -4-.4 7#ýi-4 - ;-·. t9- -r ;-i; · - :-77 -1.:1 :R . IT= Iki r t~it- :-" 1: 4-4-~ ··r4 -4ý i-i ; I./.iIi m ttiLk A_ -t 4-_ii44- Li- T: !II jr· · 'r 4_4t!: ·I 4"" -9C .- i- - I I f . .: 'ý-! :;c:·r 4r4- 4 ...... A-i- ~ -1i t-ii-i~~:i--9 U l a- T7-1 44 -- -1 414-"r~ T N KU - t4 - I-,-, .£ (-. LiT- -RH,.-).c-'--rr 71J . f -ý ft 4-tr ~·1 c4-t +r t :r4~ I .- (---· - .r-7- if ii.1 r+! T-1i ~··H-:·_ ,4-, i-L i Clti TI :.;.LrML 71- LL ;-;··' w J · ;1;- 70 w ~7 T+ :7 7r 4 I-t li TF k-H ' -'t 1 1--m :. -i·-r -f4- r4 -4L. P.-7 I- 4 I 4- rz-: -i- -i--- Ili I L_ T-174t f' T ,, - - T _-t I 4 i I AT 4Lt L4. ir i· -4 4 4 -~ 4-j4 44-4-444 - h- 1 L 1 4- -7tM rr-H i ' - _:: :- I F-·~iti- -~r-4 I r H44 -t i +i+ :-,' f: i -1- -i- i-4'-- V' i-"--4 ff'z -LC4F' i 4 F-H 1 i i i' i lr 41 4-i.:· jIiii- .. - i i i- -t .. l4Tr J, - 4_q 1u , 1 it - --- Li LE-cIt v+ -44" - "I 4 -44'i ii _4TIT"'t f--- 1 i? ii: ii, 4-t - -4-"-`. 4-,-4- .i 1 . ! i Ii 7It fijii' 4--·-~-t: II: r!l t+ _TZ 17'ir:_ a 4. rT s-I~ · -12. T_; J-r ·· + -4 4- --i- ii; tI IC T ., 4 "A - · ·- FEE r I T, I " 1i L4 4 I-4 7 1-7 · i 79s 7i'T.1-' ·' ii T -4- TT_ 4- i-L. t ii 'T' i t "L_ tt: _1ý: ...... ·-- ~:·1·~: ki_4 Tit TýI 4 - 7'A 4--;- · 1 i: · L · -1r trZ. _._ i i, 'i let- 4_r 'p + Li .4'. soI +-jf- J-i .... p t4-: :,· . :fit-jfl'- J...-~C..r; - .. .~.-. 4FA J': 4 . I t"- ~ .,.. :: ...- 44.4- ~ ·· _T ' .. r i I iI 1 ~ + 1++ 4 + +4L +4- 7 h t't ...... ... - t44½ :F IT. L 4 - .i A+t -4 4 7 4 -'icy.......... i44 4 ';+ - 1--7 .j i·f- i+ 4+r~ Ti 4_r-~'- 4-1-' 4-i-- t ---r-·ttittrti-- 4-H+ 24 4 tiA t'+-i--- l -.. $ i -F r'r ''-5 T~i -r7- 1-''- + -4-I; _T LC 4.L4tA4_4 Aa = -I1 - _H . "' I L -- -r7 a I f Ei'4F 4-J- 4- ;-T:t: : -- .4- r 1---4-4 T! 1 1 + "L-r 4-i-r 1-- -4 fI'4 r -1-T - 4 La i .4 L it -1. It~ti~di-__f~ · i--1;r-rt~~^t-?~.%~-~ -I -4- -;43 ~ f~t~r .. . 1 j I, 4 7 'T i L T t A_ T1 + ci.L ~ ' . I J j! Tt4 + > -7 t.i-r-~7 - . -il- . . ..i., I x·:-- 1 - : I :- f tt,~~t~-.ttiIr.'~t+rtTrT4 4_' 4- +4 4-L~· t:! -r4-! i-- ·- i-t~- +4~ 11.. 4--~ ... -7 r ISj i~- 'J:· I --. ~I-·1I-4 L :c~ "' -T *JTstT __~~rr ;Li 7 ra-I 4-CJ - zrp-t_ ~- TTh :-T.- - . L11 jrt 4 L -i-P -ML7k -4T 4 -77 '--17-1- L7- rHttrH +¶ t- - tIM -7 44;t·-, t 4i- 4 i- ____ i,.7 1~I~it N4. ~~TJ .7 1r-r cl~ T-1~ - -1iI tTt ·· il~·- H-t-ite - - ii4-- t Ij 1 4-Li 4-· w II, f +4- :1-tirz i ý:; z --T 1=z 4 -i-: ":· ;!-1 17·1 r4-- Z 14 I -*ttI-4 77- -I-I I r 'L4:- p4- H- 1: .4-A- 4 - I-+, .4-i- 12 4T 4-1- Hl+ -'-4.- m 4-4- --I 4-4- 1-114---~ I -7 +4 r 4-4 -4-I- 4rý 4-=t 1 rr- PEI Vt +- - H- 14 "t" 4.. , -4-4 -44- 4.1 -4-. 1- 42 1-4-. 4-. r4- w -4 17, £ VA.. .4-i4 TH 4-.. T 4-,- ... 44-. I 144. -t-4 -i L 7- .I 4 44 4-4 -I- I-: rz i-A * -4 I-ti -4-. 47ý -4- ±L 4T -~ -4 N-r -4- 44. 4+- 1-. . fT v-A "-f-.3-4-4 .4-.- - ~F2I 414 4-.- t 42 j:p ý4 t 4-4 4:4 4-4--I 44 . 4-. P4'4Zi-~.F~bJ~ -A'~7A .. -4 44 4- '4 I+ I i I j-,`IIF I I : I I · I II :ir ( li Y4_& · l l~l:;11_T711 IY _44-· T_ "4r 44ýi~~; 4c I: I 'ii LL1.' TI·I I ;I _4 I !IL LL ,, ,. '4--i: 44· I LI I i ; .71 + L1LIJ~~l~iL.-~ rt Uttti I.!iI: .~i~~ ;i' trL 44-4 1+~LL..-~-.i 44 Li;L ii :·I I ` I~i44-r+~l: ;L---,44-~-t c 44.r_~t :"-;"·Ii" it., 1, ?- 1· : LF· ;t -j , : : 44.. i t +- T ·~ . 4--i Tt., · ; I -rrf I ,,, T I T- r -- · T I Ij I n Xi 1f Ittt " . trr "'Y"I ~: # t+:-t·--· . .+ _r 4_4 . itI m : I I : - II I· ; -L tl it. I i .-~.11-II L~i~lLL. .1L~i-I 7ii I I itU-; M ý:F7 ;+It -+4· qT .j -- - T.~i~i - _H4 ;7 .1---- il Lr -~- _r; t j ft "4- _i 4--- i- 4-I -I4i - -t-'--4- 44.. 4-- __ I: i ii : :~i TL 4 1: r+L-vI- .1:17 71it ;- _L44- i 77-- -77,LfL_X *- t .t~ 4- . -· ~I i--i I 4---L :: ...... +.. 41-4 _.- 72ij. 4 -I.': ET, - ''~~ IT iI I ·I" r~ PIE Mi :n-,:7- --r-44-1-o 7" -T -4 . L S. .14_ý .7 :· L4_4 4:1 41, :c L1 ktl -·t 4-" ·-;-· r :: :: i i ra.~ .. 144-L. -1 Li -4 4 - i7 dt,~ii + I ·. T qi 7E E -ý_-,# - 7 -t-4 -i -1-4 1-- 7I'1 " i I 7L .41 A - - -, -~ T- r__ .j -,- A. _- :--4 r r+'? ~ --- · · all 4- V -;i T r ~ . -t,4 -; -- :.it.l-i:r -:- -t- : .. ý4 ,L I -4- 4-14 1-t-A ,fLý I -rrr J-4- I-I- UJ Ll -4--I- H I- -1 I 4-H 1, 1-i 44T4± -t-ý4 I-,- "-t Laý E-fll 4-i ELI rdtill#: -- :S24 -4LtLi 14 -I-- 441. tLijttv i kl i •-r-'-t '-YT7- 7-: 7-4 d-- -1 H- 7-7- L1. 4-ý-4 kii; 4 4 44,-1 V LA. Ua, 7n-tT' P.:PT.- ~444.44 i-4 tt~ 144 t7 .7- ET -H -4t ifIF 4"- ~tT --7. .r. 4-ti F2 H- ..19 -i-I-I 44TT4= 11. H- ~i4 - I-- 1 1" 1~.~ IL w 44. ;4--H Z--1 -H- -7-4 12~ I4-. 44- H- 4+ I-. 4:1- .4 tt: hr r-7.i1 i4-1 L M 2 ttt H- ~1~ E 4-4- E4- 4, 4± JH 4-4 -4 4 -441 Tot 14 4 I .4 4-'- -r -n- L-44 +4-i- 1HN-- Vt 4-4 ft 1-1- 14 - . -1-1 4-14 H- Th 47 HK TF p44-r F?tIfI H- 4-1~ '~1~ ~H -44 .41 fl IFIM 12 14. ±4 .4 -V 4- 4 It 4-4-1 ~4i 1-ti- --4 Il 7 HU 4- 4 4 4 -7-7. ±1~ -11. I- .1-1. L.1. 1- 7- 4- T-1C zrrvl ~ ~~-........ W? -TiI ·--'3''--ll- -t·r-~·it-t~·' ~1 4- . ; LLI i 7-ir 4 L: ýýT t Uf . 4 T; :: ' I 1J :I f E-4' .Cr ;: i-·:-- :-Tr ~ 1L 1-14 r IIIT -t-.i :·i-t r 1- _7- T. r i r -t- A.-f ý4_ .--r, Ij ttrL 4- t1--··---A.. i4 LL : i-4 -- Lii I~~ i E HE ii-"T #r ift ft~ · -L r~li ITE-E'.; - -J i II ·, -t--.-' 4;~ f: · Prh lil L : v .. .. 7' -l-- : :...i- ~2t~31 4- --- ILLLL J-L.M..14.• 5-•LU•1z...- 4..3Q .ZI.% •:1;':-4 . . .,- I -: -- - 4-41 +e----a - ]4 ---1**- -4---.-- 4 j 1-7- a -I44- 4f- +-_-.44. =42'. ML -r -L44 =2 Ltz. II-1 L I-T 1-44 1 4-~ -., . 7 i~4 'p L Td-I tA I-4 44 424 ~ 'i2+t +12 4-t ½: Z7 ~4~4 4J4 ' + z-1 4 ~ MIT -i-I 4-4 44- Ll -45i 17:7~ l4z ti: 7. 7H- ~.Lt PI-74, I 4-i---- -E77 -- 4:74 I- 4r H-b -:T: II -~- tij I-t -It Ll 4- ~4-=r' . L 44 -4t 11:4' HE A 2.- 4 -N A- 777~. Em ± r-r t -:lr4.. 14tk ++ + Tz Týt -L4-4- Ttý t+ .77 -;TIrT Zý42, -4 ;4:E, t;--. 7r Z; LT t rl i-T j.! -Hi -4 I - m7 1ý7 ~2~K 4-I- r-. r i 44. "4-' 4 4.4, !44 -- 4 V4::I 4 H4 44-ý-P . f-r - > 4ý ri 4E -H-11-1 ýT-74-' 47 -rý T 2 44- t~ It 4. :P 44# j4-tt4- PT 14 1.r-L Ip t F n-t - ~- i++t 7. .4 FT-4 KlJ- F L4-, --r JE Tj ý44 07 4 + # J-1 I -4- +i-U-- -4-4 . .... . ~1 1 ....- 22,. t t4 4 4-. . -ii 4- 4 '--H* rT_ 44* -f _ __4 J-q 4 Ftv 17. T--4- 4-. I-r- U7 7-- -4 4 T- K7 li I 4-~~~ r + ~ r I~ .I ~ t% 4. 4-, -7- -7- 4 ~ L ;pj I - I It Jr 1.d ~-4 --~ 4~L .4 ----------Iift Kq 4-k- 77 -1~ +~ 4- IL 41, '1~ -4- 771 4-4- Sý7+ -H. 4-1 I IF4- -1 -4 4 4-IF 441- t41 4-r-4 4±4.4-~ -17 f-'nz4+- .- 4- I4~ 1-4- =71iT r 1-14 ~-1--~ 4 :i-f-P 1-.-KIo .4-44 144-.- +-J t$+t r 4. -i-'i- ~tLt 14-4- F"- I-fl-i I,- i--.4 -1 '•t -t '-i.t.t i~t -z Hl-I-- ..L 4 :i 4± 1~- 4 -+4FEE 12.2 H-r 4-IZftt~ I-, i ii ItFT iq;TP4 -M - ---1--,4 ._E# L~. _-i r 44-A 4--1-4 ... 4-'I I Ei~ I IP1 -LI 44+ 4--f gov tE-E. • •L4---- ; , 111!! L, P,-1 i -4-, ri-I.! -1-4-4± -i.--i- 4±- ±_14._4 w- -4---i IIF _Jt-; Az 4-.. M, F -7, LIELEý F": 4-7i 4-z 4, -I--- 174 4,-J L4r:: -rd --..1 -4ý TF 44- .4F-4- frý 4 i--. El. v.14 i4-I f-A-- 41 ±0<ii -4----. ± A .. .4--iFM ?I IT: F - - T-w t 4. a _C ... 4...--, • . . .. 771- 7 ELL LE-E 441 -t4 LI- J.'-h .4.- TT i• 1I4 0•.-r. :Z5. L;T V.I TI 1-7. r-4: ...... i÷ ).-..t -. :Tz, -= i..• .. T---.. i- 11 4k 4 :;--:" -r 1 A4 t4dt .44-44,. 1 4 ..4 . 9 74 FA Fl M .1 4.. 4. -t 4 Vt1 2 I I 7 1 .. .... :1:.. .4. 4- -. .1 I 11 'iii 4;: I I- V j~ *1 lzi :--::: -: -I I.! ...I - 4.. ' :2 4. I- -- .1 .4 It: -.4 .4,. -1-~ - .I.: : -- I - .4. 'I. . t 1~~ rt... 44. ... 17-T.: -. , !1~ .4, t-VIC 71". -1* 7.1 .4 t-" - t.. ___ :42. :1 :- VI I .4-4 4-.. ~1~' I-4_ 4' 7~r. -1-I..' 44+ 4-44...... .4. 27. .1;:::._ '1 _ IZT7Y ~H-H I- -H-- I. LL 4-wv - -.I,-o; l;::.T_'.• ,•--I.: •-..___._•. )' 7.14.4.. .1~~~ 44. it I ••:iz5LE'-+ F:i-:-- -1 z - '~.A I T. i V.I i- ••:; E-: -7 -t I. E-t N I -4 -+ -- 4-,.-,I ---K -a- l 1- 4:-:...•:. Ar I 1 L1. T JiL I.- -I ~pi FF K iZA .. 4- No i-ill 7, _1 L_4 7~. 7- .7 R4 *!17'- 277 7 T-: 7 I-L+ --, -- 7777 .77 L . 1:- 4-. t-I 7 1--, ZL 1. ;ý," . T-t -:A tt I V4- 4- T-. _44. I .1 7. ,4 ZI --I- ZEI ZfzL 4-; av. 17 - :: r4- L--' 411- 4. L7 v4 ------- 4. it-4 4-L I. .- r411__4 T7 .4- TiT trM Mr, -:1 L-4 2T • •-•-k• ++ ikZ 1~ A - -"-i'",..:.- | wm ! *'-1' 1'*,T "•'•,?:_"t'7"-' "-t -k-•--.-•- •..!. Z= - .42Vv~ EA ! LS .i . t • .. A m • IL~i~2I. :71 cz~L. ~J 4 -4-4-i LL it. ::t, :LTI. ~TT1 TT 2wL 1~ -.. ... -. 4.4. 7-r~ .4 I -4-4'. tt.7 L2j : 1 .4 4 V- 7- .4 1 [4 + -- 4 14 4 I-i.-. 4 4 V. I 1T '.'*1 .4. - .- . .. . 4... -.4 'I..- rT7 i:-. :-~~1~~~ .14 K -F -4- *.. - 22 -t:t71 *4~* 4--. -I-..- * ..K:TZ -4 I- -4ý I: .4,.44 V .4 4 m r 14~ *L I- -I- . -4 ~:: t xrt.: ~-.i ffi: i: I-r H- i~44 -t 4- -H 4.4] Tut4.- .;::; .1q TL4-.- tt-7 '-4 Li I t WI U 'T '1-~' ± 414i t 4-,., it-:4T .4+4 14 t7-4f t4*.~4~ 44 4 41ti -1- ~44 41j~ -. 4-4-4 -t:P j.~4-..-. ~-' E I~1 -t 4.-.. z A TL -t 23 4..4-. I, t-4- .4-4- -. 4--. ~.4..4. -i-~- --.4---K -4-.- T I-~~ :rr: ~ F~.Tr ~ 'tt- 1~ ~4-3 ~ij '-I- 4-i tp4T . . :•J I. ~1~44- '--tise--'"- r •I II -- LrZ- ii' K2ff: -i. I ,- 7,77"-,ý - . ý-ý: K4~ .RCL-X:ý- ,=,... 14 . -4.4::•:.•,•].•. •.-• .•"S'; ,- -•.,.:..i..[ t-•?" .•-., -, f I. L• 1 ir*- -• K'.~I+ 4 ýý+ý--' hA 7-- - 4-- A 4--. -I-~ 9- .1T. 1..-.-*. Is. it-i-I -¶7: L~2 ± I.- F -4 I- -4-T.- [99-. L4 --4 ,.9-t 4- f~ -F- -414.. 7i '50.-: rJ7~ I.JI.. r-i .... ~II .17 "1-4 ni7 LZ I 47 ~-.t 1-- --- *19 I. t4 7-F -T -1 4 -1 I- . .L . i-1- -44- -17 ............. I. 4-- -,- IL *El I it '-'-9 *ý L- ZITK + 4 I - o -I '~1 z J, CC -4 00 a- 0' In 04- -4 F .4 I.- N N a' -4 am' be 4. N .4 1~ -be '4 -a' aN ZZ 140 0. -a '4- a. 0. 0 Qz N N, N N -1; N N, N, N N -I be N -4 -J ~1 '4 ~6 .4-4 N) .4 4 a- a-4.4 .4 aN -i N N N -4 a- aN .4 W 4- (4' a a.- be 0 N '.4 I- -4 be I, -J 'ml 4 'ml -N a'- .4 '-4 Nj '4 Li -d 'a. '4 a.; '.4 N. N .4 'a) ~1 4 '4N r,. N aaj *14 (4. L1Las e' ;o a .5 C C C 0~ !C .Je Id Cdi Las ccm 0 w C as U a '4') 6'.. a a '4- -4 .4 1~- .4 I-, C be 0. z '-3 C a C *1 'V. 14 I-, .4 Oa "a a.' '4, '4 aa- '5. C a-- U- C (-a a-- (4 L-w CLa W x-z -'-w 0 N tiIW 0 co ilhimiliaMilligilatiallia Lý U) r- C C C .4 C. w-13 6'. O1 I 0 Go I llTW I I C-7 J .- i-LI- '4- bCh 4 'n.j 'N' N, 03 -3 CIA '4 0- -I; "4 'a 00 'N 0- 0- -N '.4 'Ci 1'-~ N '0 0- 0' '-4 '4 0-' L5 '"4 NI '.4 N -N __4 I,' N -0 '-C 0- '4 N... N -3 r0 ':3 N "0 '.4 t0 c-4 N• w C) '.4 pS4 rj• 4X '4' '4 '-.4 '0 OD r4 e-3 '4 Q, N L14 '4.' 0. CA. 0. '.-N '0 ~'0 -'I' S N- Li t0 '4 t-z N- ':3 ':3 '0 N N N N 0 0, -' '0 A0 so 'N -4 '-1 .0. Nl N. '4 *0! a." 1 .CC 4L -0 U, _li 11. *1 0~ rl~ N N d z z Co N V"4 0 + 0. 09 N V -4- 0. '-3 ts~ C-; N N -.4- 0 -4- 1c~ ~'0 x(C'* _-.,_* w Ix x w M14 0!Lý '5 Ii C -3 z>- 'NJ U ~.0 C cnl -C --- c.... I C U 0 -0 b. Z4 e '-3 6. IN 0 '.1 '3 I:: Do C I- 0- a- 6. a- U- U t4l -4 -.5 a N' a0 0 C UaU U '-I NI" 1- .t w 0- I,) 0 'a. ,' L- '-a. a: I; 'a .4 0' 0' 0 0 6., '4 L5 'a; U S 116H -J U. 0'- 0~ CL i"C 4 ,4I) c._ .2.' J -- > .i I- tO U• 13 cc wz I- L- '4C a-IL LV w I^ a.- io LI- a.i LL I- Ia. -N _I -'C 40 00 0 2 0 xx a. '4 00 *0 'N 'IT1 a: I- 'p 'a. 0- z xw U Ir.. w La. I-. '3 2 I- I -N z oa uh 'U '3 "-I 1: I- '3 '5 00 '3 '-3 ('3 I.- -6- I.- F-T >o r-I ~1 r 0 I :.o cr !I L i a, i 0 4t -J z Io 4, ~I 0 U r to Ia - S p r e I 0 e d I-ca O p L C. Q 1, ~r i, I I !a r I r I L I I I r 4 i0 4 nd I-j I-/ IC a 1U) 'U .3 ,a. LB. 4,4 4- iiSl e- ! r( 2 ) I 'C z 0 .1 :L e N c 'lU a. I. x o E D n J,ql 3 -L C5 -L i a• E j 6 . L L i i 3 5 c 4 IE ft -4 0i n e k n r r I 0o i o 0r 5 r di II Iw w 0 0 0. Id X ws a i i 0. J U) r I 0 0 I E r 0~ r L J 7 LL '3 m 49 -J I1 - 4 'I. N j d c r- I- aa1 IC 4. H N 3. r s r; E 3. '4d C '3 Q Ii C I- r 3. 1F C '3 Cl (44 J 3.. 0i 3. '3 '4 Li 4. Li 4- 'I L C Ci 7 1c i a C4 a0 'Nj 0 L '3 I 3. .4 3. Li a 3. 3. 4 S 3. C I j C-e '3. -4 a r Li C 0 r: r r I. * I. .4 -4, Lu '4 Li "3 LI r 14 r4 r '3 '3 t Li, C C '. 3;r b i n a Cl u r I I' L L. 14. 3 I ,4 irttj t~ii | I I lii 1-11111 "4 .J '..' IL 3- -i a Ud 4tl i.w L; I 0iI "1 s ,.Ia 0-- '4, a 2 A A ce, O'3-lo olLi Ii. 1 z W LIm bs· b'= I i I ---1 -- oL r L a- j CI-c -m z F C- C- 1-. ac CD N, r- U co: cc -5" a'C a- C- 6. LJ 4. 0 0 J a, I. U a, a. CC r r b cx aU 1- b. U- U- u U- 0- a. w N a, a, LL a.- I 0 a, a, N a, C a. -a a, 0i 'a U U \I a a, a a, -I -I -" I; -3 4'; C3 C, a'-o U a 9; a, Cv C., 1 74 a-' 0. --I m8l DC C-i '.3 0, c' " ii 0d a. 4- C- i Cl a' C Ia. -,D xmIn -S 4 0 w F -a -3 -a 'I U. U i' 00 a 'U 0o IDJ 'a a,- a0 I- -a c" a' *0 U4 0r w x 0 E ( co ) C' W d C- -C 44; L a, 'S~ -- U 4 -a -4 .- 9d a; 5- S; -j x z.jw Da oC -3 ae 'a. NL -a 3r Ii' a-- -i 4' a. r* a- -4 0 0- C C. ~I i-J zo wZO 4' 0 I aC IF bi 'a cc .ja wz 0 CA -5 cc 0 c, L0 <r 4 4 z U) 4 Oq 0 -Ž2 -J -- 7 cx- '-a C') '-3 T a-- a- a--4r a- go I- I-. 4 a- Oe 3- 0 be U. "4 cc '. 0c '. -90 6- a*; be a- 0 a- rr, 4O 4d be '- '-a 'ii 'i .ul -3 a- -- 5, U), I-. -a 3- CD a- V. -9 c-i I- .4 '-3 Ca me '4 I" -a i- V4 N b (A 0 3- CI F- j d z4 L r36 "-I : IS, Q -9 'I- a- '-a '3 :4 0 b. a. -J 'a r: C C a- U) '4 'I 4d "-I co w 6. '5) .-- 4 5- C -12 It. 0 0 ('J C 0 <I o0 -I 0 III2 I- Er 3 j a L E D 'II -4 :5 U) 4. '4 xi U .1 -'I -5 '4 ai Cc; I-- - -S! 1B C. '4 0i a -4 C. -a cx- 0 -a 0Q d) C LL C') 0 u ca a- U-1 IL ct cC IL C, C Cd a. -3 0E 1W 0 M1 F a'Z .4 N '.4 N N N. 7 L Q0 I 1 I I 0Om 0 j- -1 -- I ~*j -I I. (0: cJ scr ir i-r a .i4 a, '- '- 'a '4 -7 '4 '-4 a "I 1- Nr C- ai a. d a a. atip C. C.' a (I --C N f < N a. a a. Q3 I• C LM a L 'S C I a a mL w a- a C- a N o a opt N -ii 1-. Id- In ja 'A I. cc C.! bi i- N; -30 C- N d -J 0J a N a. 4C U 4 6 C 0. a. C I' a: a: t4: 1i 14 a· '-J C I-r C' al Z-. UJ oi o C- c. -7 IL C L 0 C' C C i i w C? C 1~- a. -I ac zl i -z 3 :3E 0 Cs C C2 C. Cs a ar C V C' (c C C- C' u C cc C'; C C' V C- CS C C- V. Ic I I I j w x z wilw