Variational Method for a Pseudoplastic Fluid in a Laminar Boundary Layer Over a Flat Plate

[+] Author and Article Information
P. F. Lemieux

Department of Civil Engineering, University of Sherbrooke, Sherbrooke, P. Quebec, Canada

R. N. Dubey

Department of Mechanical Engineering, University of Waterloo, Waterloo, Ontario, Canada

T. E. Unny

Department of Civil Engineering, University of Waterloo, Waterloo, Ontario, Canada

J. Appl. Mech 38(2), 345-350 (Jun 01, 1971) (6 pages) doi:10.1115/1.3408782 History: Received June 23, 1969; Revised October 20, 1969; Online July 12, 2010


A variational method called the local potential is used to find an approximate solution of the laminar boundary-layer flow of a pseudoplastic fluid past a flat plate. The so-called power-law model relates the stress tensor to the rate-of-deformation tensor. The results of the variational approach are obtained in an analytical form and are found to agree well with the exact numerical solution.

Copyright © 1971 by ASME
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