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MODELING 26 Modeling Three types of node1 were considered to describe the performance of t h e Lysholm engine. A model describing t h e engine in terms of dimensionless parameters was attempted. It was hoped that a dimensionless model, through similarity, could reduce the nunber of parameters needed to describe the opzrating conditions of the engine and fill in the areas of the performance map for which data were not obtained. A simple model with three dimensionless parameters could not , however * consistently describe engine performance. It appears that another, as yet unused dimensional pararneter producing an additional indepsndent dimensionless group is needed to describe engine performance. A f i f t h dinensionless group, relating to leakage area, would also be required to extend predictions to scaled-up engines. Another type of model is a computer simulation. Computer simulation would attempt to nodel the physical processes ozcurring inside the engine. This approach has both the most pronise for imaediately extending results to scaled-up engines and the most potential for assisting in design improvements. Computer simulation would, however, ba a difficult open-ended project beyond the scope of this investigation. The node1 finally chosen uses a simple eapirical "black boxt1 approach. Tnis approach directly relates the performance parameters of the engine to the operating conditions through purely empirical relations obtained by curve fitting. This approach is easiest to impliment and use. It is, however, of limited us2 in improving the engine design or extending results to scaled-up engines. The attempt a t dimensionless modeling involved a three dimensional plot of efficiency, specific speed and specific size. The plot included an earlier matrix of data points having constant exhaust pressure and varying inlet pressure. When the current data matrix of points with constant inlet pressure and varying exhaust pressure was added, inconsistencies resulted in the plot. Points with the sane coabination of specific size and specific speed had very different efficiencies. In particular, higher absolute inlet and exhaust pressures resulted in much \PDF Image | EMPIRICAL MODELING OF A LYSHOLM HELICAL SCREW EXPANDER
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