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MODELING 2i3 different size. Performance of the engine is heavily dependent on the leakage occuring in the engine. The leakage is dependent on the leakage area defined by the engine clearances. Relative leakage areas w i l l undoubtedly vary i n engines of different sizes. A f i f t h dimensionless parameter involving the engine geometry will be required to predict performance of scaled-up engines. One such possible paraneter is described by BaljeC 121 as the ratio of tip clearance to rotor diameter. The tip clearance would then become an additional dimensional paraaeter used to describe the operating condition of the engine. Testing of at least one other engine would be required to characterize performance in terms of a dimensionless group involving leakage. Another problem with dinensional analysis is that deterinination of the operating condition in terms of specific size and specific speed requires knowedge of one of the dependent dimensional paraneters as tested. The exhaust pressure is controlled automatically, as is the- flow ratio. Several approaches to the fixing of the other properties are possible. In one approach, the mass flow rate is fixed. The load is then used to control either the inlet pressure or the speed. In this case, the dependent paraneters needed to define specific speed and specific size are isentropic enthalpy drop, defined by the inlet pressure, or speed. The nethod actually used involves adjusting both the mass flow rate and load to fix speed and inlet pressure. In this case, total mass flow rate becomes a dependent variable needed for specific speed and specific size. It is thus difficult to produce a data matrix in specific size and specific speed. Such a data matrix isalmost essential in determining relationships between dimensionless groups for a computer model. The dependent variables needed for the dimensionless parameters also complicate the combination of the Lysholm model with models of other components in optimization of a hybrid systen. The solutions are not as explicit, requiring iterations to match components. \PDF Image | EMPIRICAL MODELING OF A LYSHOLM HELICAL SCREW EXPANDER
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