Numerical treatment of Powell–Eyring fluid flow using Method of Satisfaction of Asymptotic Boundary Conditions (MSABC)

Abstract

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.