Title

Similarity Solutions Of The Boundary Layer Equations For A Nonlinearly Stretching Sheet

Abstract

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<η<∞ 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<η<∞ 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 © 2009 John Wiley & Sons, Ltd.

Publication Date

3-30-2010

Publication Title

Mathematical Methods in the Applied Sciences

Volume

33

Issue

5

Number of Pages

601-606

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1002/mma.1181

Socpus ID

77949716041 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/77949716041

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