Based on considering the characteristic features of the momentum equations and meeting the requirement of the continuity, two pseudostream-functions are introduced. The principal equation of each pseudostream-function only contains the terms of its own second-order partial derivatives and does not include the second-order partial derivatives of another pseudostream-function. So the relation between the two equations are loosed considerablly and both equations may be solved separately. This property is valueful to obtain the convergent solution of flow field easily. The equations of the pseudostream-functions and the corresponding boundary conditions are given. Two incompressible flow examples show that this method may become a powerful tool in the aerothermodynamic analysis and design of a compressor.
Three-Dimensional Incompressible Flow Solution of an Axial Compressor Using Pseudostream-Functions Formulation
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Xu, JZ, Shi, JC, & Ni, WY. "Three-Dimensional Incompressible Flow Solution of an Axial Compressor Using Pseudostream-Functions Formulation." Proceedings of the ASME 1989 International Gas Turbine and Aeroengine Congress and Exposition. Volume 1: Turbomachinery. Toronto, Ontario, Canada. June 4–8, 1989. V001T01A111. ASME. https://doi.org/10.1115/89-GT-319
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