An Exact Solution of the Unsteady Navier-Stokes Equations Resulting From a Stretching Surface

[+] Author and Article Information
S. H. Smith

Department of Mathematics, University of Toronto, Toronto, ON M5S 1A1, Canada

J. Appl. Mech 61(3), 629-633 (Sep 01, 1994) (5 pages) doi:10.1115/1.2901506 History: Received April 09, 1992; Revised March 23, 1993; Online March 31, 2008


When a stretching surface is moved quickly, for a short period of time, a pulse is transmitted to the surrounding fluid. Here we describe an exact solution in terms of a similarity variable for the Navier-Stokes equations which represents the effect of this pulse for two-dimensional flow. The unusual feature is that this solution is only valid for a limited range of the Reynolds number; outside this domain unbounded velocities result.

Copyright © 1994 by The American Society of Mechanical Engineers
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