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 (β) = 0 and f (0) = -1. This problem arises when looking for similarity solutions
Similarity solutions for boundary layer flows with prescribed surface temperature
β Scribed by Je-Chiang Tsai
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 214 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0893-9659
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## Abstract We study the thirdβorder nonlinear equation: __f__β²β²β² + (__m__ + 2)__ff__β²β² β (2__m__ + 1)__f__β²^2^ = 0 on (0, β), subject to the boundary conditions __f__(0) = β Ξ³ β β, __f__β²(β) = 0 and __f__β²β²(0) = β1. The problem arises in the study of similarity solutions for boundary layer flows w
The group theoretic method is applied for solving problem of a unsteady free-convective laminar boundary-layer flow on a non-isothermal vertical plate under the effect of an external velocity and a magnetic field normal to the plate. The application of two-parameter transformation group reduces the
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