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On similarity solutions for boundary layer flows with prescribed heat flux

✍ Scribed by Bernard Brighi; Jean-David Hoernel

Publisher: John Wiley and Sons
Year: 2005
Tongue: English
Weight: 207 KB
Volume: 28
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.578

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✦ Synopsis

This paper is concerned with existence, uniqueness and behaviour of the solutions of the autonomous third-order non-linear di erential equation f +(m+2)ff -( 2m+1)f 2 = 0 on R + with the boundary conditions f(0) = -, f (∞) = 0 and f (0) = -1. This problem arises when looking for similarity solutions for boundary layer ows with prescribed heat ux. To study solutions we use some direct approach as well as blowing-up co-ordinates to obtain a plane dynamical system.

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