Exact Solutions of the Unsteady Navier-Stokes Equations

[+] Author and Article Information
C. Y. Wang

Department of Mathematics, Michigan State University, East Lansing, Michigan 48824

Appl. Mech. Rev 42(11S), S269-S282 (Nov 01, 1989) doi:10.1115/1.3152400 History: Online June 03, 2009


The unsteady Navier-Stokes equations are a set of nonlinear partial differential equations with very few exact solutions. This paper attempts to classify and review the existing unsteady exact solutions. There are three main categories: parallel, concentric and related solutions, Beltrami and related solutions, and similarity solutions. Physically significant examples are emphasized.

Copyright © 1989 by The American Society of Mechanical Engineers
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