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CURVE FITTING 4 3 Attenpts were made to obtain an explicit relationship for efficiency in terms of pressure ratio, inlet quality and speed. Since efficiency peaked with pressure ratio, a polynomial of a t l e a s t second order would be required. Parabolic and cubic equations were tried with l i t t l e success. Higher order equations produced good fits for a given set of data but went wild outside the limits of the data and resulted in poor correlations at the next levels of the curve fit. A satisfactory model for efficiency was finally obtained by combining the predictions for mass flow rate and power with a stean table. Exhaust quality was easy to model directly. However, it is possible to model the exhaust quality using the same approach as with efficiency. This approach was taken to reduce the complexity of the model. The engine model was converted i n t o t h e form of a Fortran-IV subroutine. This subroutine must be linked with the steam table developed for use in data reduction. Coefficients for the model are stored as block data. The input variables for the model as well a s t h e predicted performance paraneters are passed to and from the subroutine as arguments. A listing of the subroutine is presented in the Appendix. This subroutine was used to predict engine performance over a range of pressure ratios and for speeds and inlet qualities corresponding to the target values used i n engine testing. These predictions were graphed for comparison with data points using an X-Y plotter, driven by the GDA plotting routine. The plotter was irnplenented by the PDP-11/60 minicomputer used for data reduction. These plots are presented as Figures 13-16. \PDF Image | EMPIRICAL MODELING OF A LYSHOLM HELICAL SCREW EXPANDER
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