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RESEARCH PAPERS

Solution of Transonic S1 Surface Flow by Successively Reversing the Direction of Integration of the Stream Function Equation

[+] Author and Article Information
Zhengming Wang

Institute of Engineering Thermophysics, Chinese Academy of Sciences, Beijing, China

J. Eng. Gas Turbines Power 107(2), 317-322 (Apr 01, 1985) (6 pages) doi:10.1115/1.3239721 History: Received December 19, 1983; Online October 15, 2009

Abstract

In the solution of the stream function equation on an S1 relative stream surface with transonic velocities, the occurrence of two values of the density is avoided by using a method of combining simple iteration with an integration method. In this method, the direction of integration is successively reversed, i.e., the starting line for the integration is varied from iteration to iteration. The governing equations are therefore satisfied as fully as possible during each iteration, and the procedure leads to rapid convergence. The method uses nonorthogonal curvilinear coordinates and artificial compressibility. The technique can be used to calculate transonic S1 surface flows, with either subsonic or supersonic inlet velocities. Example calculations indicate that the method is very effective.

Copyright © 1985 by ASME
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