期刊
APPLIED NUMERICAL MATHEMATICS
卷 59, 期 10, 页码 2584-2592出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.apnum.2009.04.010
关键词
Asymptotic method; Powell-Eyring fluid; Non-Newtonian; Boundary conditions; Similarity methods
In this article we present a novel approach to the Method of Satisfaction of Asymptotic Boundary Condition (MSABC). Similarity equations for three-dimensional boundary layer flows of non-Newtonian power-law fluids are coupled non-linear ordinary differential equations. The two-dimensional flow is the best approximation of three-dimensional flow. The two-dimensional flow equations are numerically solved for Powell-Eyring fluid model, one of the non-Newtonian fluid models. Numerical results are generated for series of values of parameters in the above described method. The non-linear partial differential equations and their boundary conditions, describing the problem of fluid flow, are transformed into a system of ordinary differential equations using usual similarity transformation. (C) 2009 IMACS. Published by Elsevier B.V. All rights reserved.
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