EMPIRICAL MODELING OF A LYSHOLM HELICAL SCREW EXPANDER

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EMPIRICAL MODELING OF A LYSHOLM HELICAL SCREW EXPANDER ( empirical-modeling-lysholm-helical-screw-expander )

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TEST RESULTS 36 last chamber is opened, the pressure must equalize to the exhaust pressure. High back pressures result in fluid rushing back into the exhausting chamber, creating an adverse pressure differential across the last set of lobes. This adverse pressure differential decreases net torque and power. As the back pressure is decreased, the adverse pressure differential decreases resulting in more net power. As exhaust pressure decreases below final chaaber pressur?, a favorable pressure difference across the exhausting rotor lobe continues to increase power output. When leakage is considered, the pressures are equalized somewhat but the same general effects result in the observed increase in power with pressure ratio. A t higher pressure ratios the leakage throughout the engine becomes choked flow, freezing the pressure distribution inside the engine. Further reduction of exhaust pressure can only increase the pressure differential across the final lobe to increase power. This effect becomes minimal a t higher pressure ratios as the pressure difference increases more slowly for increasing pressure ratio. The power thus approaches an asymptote a t very high pressure ratios. Engine efficiency is plotted versus pressure ratio in Figures 9a-9d. The efficiency results reflect the individual effects of the variations in flow rate and power. The propagation of errors in measurenent of power and mass flow rate can also be seen in the scatter of the efficiency data. Forany given speed and inlet quality, the efficiency increases with pressure ratio from the minimum pressure ratio required to turn the engine with no load. At low speeds and high inlet qualities, the rising part of the curve is not covered by the data taken. It is obvious, however, that the efficiency of a real engine must approach zero as the pressure ratio goes to zero because of frictional losses. As mass flow rate is relatively independent of exhaust pressure, variation of efficiency with pressure ratio reflects'the effects of variations in power. The rising part of the efficiency curve reflects the reduction in back pressure with increasing pressure ratio. After reaching a peak, the efficiency

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