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RESEARCH PAPERS

An Initial Value Method for the Solution of a Class of Nonlinear Equations in Fluid Mechanics

[+] Author and Article Information
T. Y. Na

The University of Michigan Dearborn Campus, Dearborn, Mich.

J. Basic Eng 92(3), 503-508 (Sep 01, 1970) (6 pages) doi:10.1115/1.3425046 History: Received July 15, 1969; Online October 27, 2010

Abstract

An initial value method is introduced in this paper for the solution of a class of nonlinear two-point boundary value problems. The method can be applied to the class of equations where certain physical parameters appear either in the differential equation or in the boundary conditions or both. Application of this method to two problems in Fluid Mechanics, namely, Blasius’ boundary layer equation with suction (or blowing) and/or slip and the unsteady flow of a gas through a porous medium, are presented as illustrations of this method. The trial-and-error process usually required for the solution of such equations is eliminated.

Copyright © 1970 by ASME
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