On the analytic solutions of the nonhomogeneous Blasius problem

被引：102

作者：

Allan, FM ^{[1
]}

Syam, MI ^{[1
]}

机构：

[1] United Arab Emirates Univ, Dept Math & Comp Sci, Al Ain, U Arab Emirates

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2005年 / 182卷 / 02期

关键词：

Blasius problem; analytic solution; homotopy analysis method;

D O I：

10.1016/j.cam.2004.12.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article a totally analytic solution of the nonhomogeneous Blasius problem is obtained using the homotopy analysis method (HAM). This solution converges for 0 <= eta < infinity. Existence and nonuniqueness of solution is also discussed. An implicit relation between the velocity at the wall lambda and the shear stress alpha = f '' (0) is obtained. The results presented here indicate that two solutions exist in the range 0 <lambda <lambda c, for some critical value lambda(c) one solution exists for lambda = lambda(c), and no solution exists for lambda > lambda(c). An analytical value of the critical value of lambda(c) was also obtained for the first time. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：362 / 371

页数：10