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TEST RESULTS 33 of approximately 2/1 is required for choked flow, A pressure ratio of 2/1 between the first two chambers would be responsible for a large fraction of the torque and power generated. The average leakage flow rate for a given speed and inlet quality is plotted versus speed in Figure 5a. There is a sharp increase in leakage flow rate as the quality decreases to zero. This can be attributed to the higher density of the leaking fluid a t low qualities. For lower inlet qualities, the leakage rate decreases at higher speeds. This may be due to the need to accelerate the liquid up to the speeds at which the chambers travel down the mesh line and at which the liquid eventually travels around the casing. Characteristic velocities for the fluid and lobes are presented in Figure 6. At the inlet, the liquid can not leak through the blowhole or around the edges of the rotors until it has been accelerated up to the speed of the rotors. This theory is supported by results frm earlier tests showing a slight decrease in efficiency when a smaller water nozzle, producing higher water velocities, was used. The effect of speed decreases to nil at saturated inlet conditions. As the steam velocity a t the inlet is already on the order of magnitude of the rotor velocities, vapor leakage is independent of engine speed. Though the leakage rate increases with decreasing inlet quality, t h e theoretical flow rate also increases with decreasing inlet quality. The leakage fraction actually decreases with decreasing inlet quality as well as with increasing speed. Figure 5b is a plot of average leakage fraction versus inlet quality. These trends wi l l be important in the later discussion of efficiency trends. Power versus pressure ratio isplotted in Figures ?a-7d. While the power outputs for different speeds fall .into distinct groups, there appears to be no significant variation in power with inlet quality. This implies that the pressure distribution on the rotors inside the engine is independent of inlet quality. The pressure distribution is dependent on the overall nature ofPDF Image | EMPIRICAL MODELING OF A LYSHOLM HELICAL SCREW EXPANDER
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