Existence and a priori bounds for steady stagnation flow toward a stretching cylinder

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• 作者：Antonio Mastroberardino ; Joseph E. Paullet
• 关键词：Stagnation flow ; Boundary value problem ; Stretching cylinder
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2010
• 出版时间：15 May 2010
• 年：2010
• 卷：365
• 期：2
• 页码：701-710
• 全文大小：212 K

文摘

We investigate the nonlinear boundary value problem (BVP) that is derived from a similarity transformation of the Navier–Stokes equations governing fluid flow toward a stretching permeable cylinder. Existence of a solution is proven for all values of the Reynolds number and for both suction and injection, and uniqueness results are obtained in the case of a monotonic solution. A priori bounds on the skin friction coefficient are also obtained. These bounds achieve any desired order of accuracy as the injection parameter tends to negative infinity.