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MODE L I N G 27 higher efficiencies than similar points with lower pressures. This indicated that there is a fourth independent dimensionless parameter needed t o describe engine performance. The Buckingham-Pi theorem[lOI states that another independent dimensionless group requires another dimensional paraneter describing the engine operating condition. It is not clear at this time what the additional parameter is. One possibility is the inlet specific volume. Currently, the isentropic exhaust specific volune and the isentropic enthalpy drop are the only two dimensional parameters used for the dimensionless grouping which describe the state of the working fluid. These two parameters alone are not enough to define explicitly the condition of the steam at any point in the engine. In addition, the choice of the exhaust volume for use in t h e dimensionless groups may have been an unfortunate one. This choice is based on the traditional approach resulting from the greater importance of the exhaust state in turbine performance[l21. In turbines, the nature of the exhaust velocity triangles is determined by the exhaust specific volume. These velocity triangles directly affect the efficiency of a turbine by defining the magnitude of the leaving losses. In impulse type turbines, the inlet velocity triangle is also determined by the exhaust specificvolume. Itis not clear, however, that the exhaust state is as important in a positve displacement machine such as the Lysholm engine. In many ways, the Lysholm engine is similar to a reciprocating type engineforwhich inlet density is very important. One approach to dimensional analysis might be to add the inlet specific volme, or another inlet property as a dimensional parameter to specify the inlet state. One more independent dimensionless group could then be obtained for correlation of the data. The discovery of a fourth dimensionless group to characterize the performance of the Lysholm engine would still be inadequate to extend results to other Lysholm engines of \PDF Image | EMPIRICAL MODELING OF A LYSHOLM HELICAL SCREW EXPANDER
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