Three-Dimensional Internal Flows in Turbomachinery. Task 1. Secondary Flow in Diffusing Cascades.

摘要

The nonviscous three-dimensional rotational flow is analyzed in highly curved channels. The problem is formulated in terms of the velocity and vorticity. The secondary velocities are computed for the continuity and vorticity equations, which are nonhomogeneous first order equations. Previous formulations of these equations resulted in two second order differential equations. A new approach is developed, 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. The new approach is superior in terms of computational time and storage requirements. (Author)