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

✍ Scribed by F. Talay Akyildiz; Dennis A. Siginer; K. Vajravelu; J. R. Cannon; Robert A. Van Gorder

• Publisher: John Wiley and Sons
• Year: 2009
• Tongue: English
• Weight: 124 KB
• Volume: 33
• Category: Article
• ISSN: 0170-4214
• DOI: 10.1002/mma.1181

✦ Synopsis

Communicated by M. Renardy

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 < g < ∞ 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 < g<∞ 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