期刊
APPLIED MATHEMATICS AND COMPUTATION
卷 217, 期 9, 页码 4359-4368出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2010.09.037
关键词
Boundary layer; Power-law fluid; Mass transfer; Moving wedge; Dual solutions
The steady two-dimensional laminar boundary layer flow of a power-law fluid past a permeable stretching wedge beneath a variable free stream is studied in this paper. Using appropriate similarity variables, the governing equations are reduced to a single third order highly nonlinear ordinary differential equation in the dimensionless stream function, which is solved numerically using the Runge-Kutta scheme coupled with a conventional shooting procedure. The flow is governed by the wedge velocity parameter lambda, the transpiration parameter f(0), the fluid power-law index n, and the computed wall shear stress is f ''(0). It is found that dual solutions exist for each value of f0, m and n considered in lambda - f ''(0) parameter space. A stability analysis for this self-similar flow reveals that for each value of f(0), m and n, lower solution branches are unstable while upper solution branches are stable. Very good agreements are found between the results of the present paper and that of Weidman et al. [28] for n = 1 (Newtonian fluid) and m = 0 (Blasius problem [31]). (C) 2010 Elsevier Inc. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据