Numerical Solution of the Three-Dimensional Navier-Stokes Equations With Applications to Channel Flows and a Buoyant Jet in a Cross Flow

[+] Author and Article Information
J. C. Chien, J. A. Schetz

Department of Aerospace and Ocean Engineering, Virginia Polytechnic Institute and State University, Blacksburg, Va.

J. Appl. Mech 42(3), 575-579 (Sep 01, 1975) (5 pages) doi:10.1115/1.3423644 History: Received November 01, 1974; Revised February 01, 1975; Online July 12, 2010


The steady, three-dimensional, incompressible Navier-Stokes equations written in terms of velocity, vorticity, and temperature are solved numerically for channel flows and a jet in a cross flow. Upwind differencing of the convection term was used in the computation for convergence and simplicity. Comparisons were made with experimental results for laminar flow in the entrance region of a square channel, and good agreement was obtained. The method was also applied to a turbulent, buoyant jet in a cross-flow problem with the Boussinesq approximation and a constant Prandtl eddy viscosity model. Good agreement with experiment was obtained in this case also.

Copyright © 1975 by ASME
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