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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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.- - - _.. ..........-. ....~... - -...- ....... ...... ..... MODEL VALIDATION 45 qualities, speeds and pressure ratios. Inlet qualities ranging from 0.18 to 0.99 were included with speeds of from 5000 to 9009 RPM and exhaust pressures of from 12 t o interpolative ability was tested by choosing between data matrix conditions. For some operating conditions were off matrix. Unfortunately, the extrapolative abilities of the model could not be easily tested. Inlet qualities of much less than 0.17 are difficult to use because of limitations on the total flow rate imposed by the condensate pump. The full range of attainable pressure ratios has already been covered by the data matrix. Only engine speed can be increased outside the data matrix range. Testing a t higher speeds was not performed a t t h i s time t o avoid endangering t h e engine. Data acceptance criteria used for validation testing were the same as those used for the data matrix. Actually, only the inlet pressure was really critical in validation as the model was based on a single inlet pressure of 120 psia. The results of the model validation are presented in Table 5. The model performed very well in predicting the performance of t h e Lysholm engine. Some parameters were predicted with better accuracy than others. The predictions for exhaust quality were excellent. Measured exhaust qualities were a l l within 0.4% of the predicted values. Predictions for mass flow rate were also quite good. Measured mass flow rates were all within 2.7% of the predicted values. The mean of the percentage errors in prediction of mass flow rate was 0.4% with a standard deviation o f 1.62. Predictions of power were generally good with the exception of two points having an inlet quality of 99%. The power predictions for these two data points were 2kW higher than the measured values. A l l other predictions of power were within l.1kW and 3.3%of the tested performance. The mean and standard deviation of the errors are 0.8% and 2.8%, respectively. When the points having an inlet quality of 0.99 are not considered, 23 psia.’ The models operating conditions points, all three

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