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EMPIRICAL MODELING OF A LYSHOLM HELICAL SCREW EXPANDER

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EMPIRICAL MODELING OF A LYSHOLM HELICAL SCREW EXPANDER ( empirical-modeling-lysholm-helical-screw-expander )

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. CONCLUSIONS AND RECOMMENDATIONS Conclusions and Recommendations 47 The empirical Lysholm engine nodel described in this report is adequate for use in modeling of hybrid geothermal energy conversion systems. Test results obtained for the construction of the model indicate that the engine has promise for geothermal application. The major loss mechanism, fluid leakage, has been analyzed and quantitatively evaluated. Further investigation, including the development of more sophisticated models could predict the effectiveness of design changes in arresting leakage. Significant improvements in engine efficiency should be possible with such improvements in design and with scaling-up of the engine. Modeling of hybrid systems including the Lysholm engine requires prediction of engine power, mass flow rate and exhaust quality for a given pressure ratio, inlet quality, speed and i n l e t pressure. These important pararneters are predicted accurately for an inlet pressure of 120 psia by an engine model derived froin current test data. The model is currently impleqented in the form of a FORTRAN-IV subroutine. This subroutine can be linked to models of a separator and turbines to form a computer model of the hybrid system currently under test a t U.C. Berkeley. The models for mass flow rate and power are explicit equations in terms of the engine operating conditions. Though the exhaust quality is currently derived from the mass flow rate, power and tabulated stearn data; a similar explicit expression for exhaust quality is easily obtainable. These explicit equations could be used to form an analytical system model as an alternative to the coaputer simulation. The Lysholm engine model can predict efficiency with only rnodest accuracy. The model was only able to locate the general range of operating conditions for maximum efficiency. Isentropic efficiehcies of over 43%were observed in this region. Thebroad peak in efficiency represents an optimum pressure ratio and a trade-off between the minimization of leakage fraction a t high \

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