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A note on the structure of similarity solutions arising in boundary layer flows

✍ Scribed by Shih-Hsun Hung; Ching-An Wang

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
545 KB
Volume
22
Category
Article
ISSN
0893-9659

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✦ Synopsis

a b s t r a c t

We consider a general boundary layer equation f

where Ξ² is a real constant. In this work, the structure of solutions for the case Ξ² β‰₯ 2 is studied. Combining with the previous results in the literature, the structure of solutions of the given problem can be determined completely.

πŸ“œ SIMILAR VOLUMES

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## Abstract We study the third‐order nonlinear equation: __f__β€²β€²β€² + (__m__ + 2)__ff__β€²β€² βˆ’ (2__m__ + 1)__f__β€²^2^ = 0 on (0, ∞), subject to the boundary conditions __f__(0) = βˆ’ Ξ³ ∈ ℝ, __f__β€²(∞) = 0 and __f__β€²β€²(0) = βˆ’1. The problem arises in the study of similarity solutions for boundary layer flows w

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## 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, answeri