Streamwise Computation of Three-Dimensional Flows Using Two Stream Functions

[+] Author and Article Information
M. S. Greywall

Department of Mechanical Engineering, Wichita State University, Wichita, Kansas 67208

J. Fluids Eng 115(2), 233-238 (Jun 01, 1993) (6 pages) doi:10.1115/1.2910129 History: Received December 30, 1991; Revised November 16, 1992; Online May 23, 2008


An approach to compute three-dimensional flows using two stream functions is presented. The independent variables used are χ, a spatial coordinate, and ξ and η, values of stream functions along two sets of suitably chosen intersecting stream surfaces. The dependent variables used are the streamwise velocity, and two functions that describe the stream surfaces. Since the value of a stream function is constant along the solid boundaries, this choice of variables makes it easy to satisfy the boundary conditions. To illustrate the approach, computations of incompressible potential flow through a circular-to-rectangular transition duct are also presented.

Copyright © 1993 by The American Society of Mechanical Engineers
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