Solution of the Average-Passage Equations for the Incompressible Flow throughMultiple-Blade-Row Turbomachinery

摘要

A system of equations governing the incompressible flow through a multiple-blade-row turbomachine is presented. These equations basically form the pseudo-compressible analog to the equations derived by Admaczyk 1984 for compressible, average-passage flow. The methodology behind the derivation is outlined, including a closure model for the time-averaged form of the equations. The equations are then preconditioned to facilitate numerical treatment. An explicit numerical procedure based on Runge-Kutta time stepping for cell-centered, hexahedral finite volumes is outlined for the approximate solution of the governing equations. Convergence acceleration techniques, boundary conditions, and closure issues are also addressed for the numerical scheme. Finally, results are presented for a simulation of the high Reynolds number flow through a two-blade-row, axial-flow pump. These comparisons suggest that the pseudo-compressible average-passage equations can make reasonable predictions of the highly.