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I 1 Power also appears to reach an asynptote with increasing pressure ratio. In addition, power must pass through zero at some minimum pressure ratio required to turn the engine with no load. A hyperbolic equation forced through t h i s point could then be used to describe the variation in power with pressure ratio. The point where the curve crosses the pressure ratio axis was originally estimated using the x intercepts obtained fron an attempt t o f i t the power data t o a logaritknic equation. The logarithaic equation did not level off fast enough in pressure CURVE FITTING 41 abandoned The coefficients a and b could now be related to the speed and inlet quality by additional levels of curve fitting. In general, it was found that the quality of the curve f i t improved if the variables with which there is the most variation in the dependent quantity are considered first. Once the constraint to use pressure ratio first had been followed, this criteria was used to select the order of the fits. Since the leakage flow rate varies more with quality than with speed, the coefficients a and b were next related to the inlet quality for a given speed. Tne coefficient b was found to vary linearly with inlet quality: b = ab + bbxl This is in agreement with the theory that the leakage rate varies with the density of the leaking fluid. The reciprocal of the leakage flow asynptote (l/b) varies linearly with the inlet quality while the specific volume or reciprocal of inlet density also varies linearly with inlet quality. The coefficient a also varies linearly with inlet quality: a = aa +-baX1 \PDF Image | EMPIRICAL MODELING OF A LYSHOLM HELICAL SCREW EXPANDER
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