An Approximate Method for the Solution of a Class of Nonlinear Equations in Fluid Mechanics and Magnetohydrodynamics

[+] Author and Article Information
G. Nath

Department of Applied Mathematics, Indian Institute of Science, Bangalore, India

J. Fluids Eng 95(3), 439-444 (Sep 01, 1973) (6 pages) doi:10.1115/1.3447048 History: Received March 21, 1973; Online October 12, 2010


An approximate method has been developed to obtain a closed form solution of a class of nonlinear two-point boundary value problems. Application of this method to three problems in Fluid Mechanics and Magnetohydrodynamics, namely, Blasius boundary layer equation with suction in Newtonian and non-Newtonian fluids, and Falkner-Skan boundary layer equation with magnetic field, are presented as illustration of the method. The present results in the presence of suction or magnetic field differ from the exact results by about 1 to 2 percent.

Copyright © 1973 by ASME
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