Similarity solutions of the boundary layer equations for a nonlinearly stretching sheet

被引：15

作者：

Akyildiz, F. Talay ^{[2
]}

Siginer, Dennis A. ^{[2
,3
]}

Vajravelu, K. ^{[1
]}

Cannon, J. R. ^{[1
]}

Van Gorder, Robert A. ^{[1
]}

机构：

[1] Univ Cent Florida, Dept Math, Orlando, FL 32816 USA

[2] Petr Inst, Dept Math, Abu Dhabi, U Arab Emirates

[3] Petr Inst, Dept Mech Engn, Abu Dhabi, U Arab Emirates

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2010年 / 33卷 / 05期

关键词：

existence results; nonlinear boundary value problems; Runge-Kutta method; similarity solutions; Schauder theory; CONTINUOUS SOLID SURFACES; VISCOUS-FLOW; FLUID; DIFFUSION; BEHAVIOR;

D O I：

10.1002/mma.1181

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Consideration is given to a class of nonlinear third-order differential equations arising in fluid flow over a nonlinearly stretching sheet. Existence of a solution of the nonlinear third-order differential equation over 0 < eta < infinity is established in this paper, answering the open question of Vajravelu and Cannon (Appl. Math. Comput. 2006; 181:609-618). That is, we prove with estimates independent of R for solutions of the third-order differential equation on [0,R]. The existence of a solution on 0 < eta < infinity follows from the Ascoli-Arzela Theorem. Furthermore, numerical solutions are obtained and presented through graphs, and the influence of the physical parameter on the flow characteristics is discussed. Copyright (C) 2009 John Wiley & Sons, Ltd.

引用

页码：601 / 606

页数：6

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