Abstract
Abstract : Repeated solutions to the continuity and vorticity equations are frequently required in computations of three dimensional flows in turbomachinery passages. When the two equations are nonhomogeneous previous formulations resulted in two second order differential equations. A new approach is presented here, which is applicable in a generalized two dimensional domain or axisymmetric field. It is based on the definition of a streamlike function which is used to transform these nonhomogeneous first order partial differential equations to a single second order equation with Dirichlet boundary conditions over the solid boundaries. Some applications are presented to show how this new approach can be used to save computer time in numerical flow solutions. (Author)
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