Similarity Solutions of Laminar, Incompressible Boundary Layer Equations of Non-Newtonian Fluids

[+] Author and Article Information
A. G. Hansen

Georgia Institute of Technology, Atlanta, Ga.

T. Y. Na

The University of Michigan, Dearborn, Mich.

J. Basic Eng 90(1), 71-74 (Mar 01, 1968) (4 pages) doi:10.1115/1.3605067 History: Received July 17, 1967; Online November 03, 2011


A similarity analysis is made of the steady, two-dimensional, laminar boundary layer flow of non-Newtonian fluids. The important conclusion drawn from this analysis is that for non-Newtonian fluids of any model, similarity solutions exist only for the case of a wedge flow of 90 deg. The only limitation is that the stress and rate-of-strain can be related by an arbitrary continuous function. The result in this paper further extends a recent work by Lee and Ames [11]. Numerical solutions for the Powell-Eyring model are presented in dimensionless form as an engineering application of the theory.

Copyright © 1968 by ASME
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