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TEST RESULTS 34 t h e expansion process. The Lysholm engine expansion process can be modeled by the combination of two processes. The fluid which remains inside a given chamber as it expands down the mesh line can be considered to be undergoing an isentropic expansion. It is this process which results in work being done by the fluid on the rotors and the power output from the engine. The second process is the leakage rate fron the chambers into the neighboring chambers or into the exhaust. This process can be considered to be a pure isenthalpic throttling process contributing nothing to the power output of the engine. The pressure variation during an isentropic expansion can be described by the polytropic equationt81: pvn = constant For an ideal gas undergoing an isentropic process, n is the ratio of specific heats. Foran isentropic process on steam inside the vapor dome, the polytropic exponent has no such intrinsic meaning. This exponent is, however, still useful1 in describing the expansion process. K w i l l be used to represent the polytropic exponent for a general isentropic process. It would be helpful in this analysis to be able to examine the value of K during an expansion process characteristic of the Lysholm engine for varying inlet qualities. The steam table subroutine developed foruse in data reduction was used for this purpose. An isentropic expansion from 120 psia to 14.7 psia was considered over a range of inlet qualities from 0 to 1. The value of K for this process was determined by the equation K = ln(P1/P2) / ln(v2/vl) Since K does vary slightly with pressure, this represents only an effective K for the whole process. This is a good approximation to the value of Kforany point In the process. A plot of effective K versus inlet qualityispresented in Figure 8. There is only. a modest increase in K with inlet quality for the range of inlet qualities considered in the tests(0.17 - implies that for the same volume change applied by the chambers 1.00). This \PDF Image | EMPIRICAL MODELING OF A LYSHOLM HELICAL SCREW EXPANDER
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