On the Convex and Convex-Concave Solutions of Opposing Mixed Convection Boundary Layer Flow in a Porous Medium
In this paper, we are concerned with the solution of the third-order nonlinear differential equation f″′+ff″+βf′(f′-1)=0, satisfying the boundary conditions f(0)=a∈R, f′(0)=b<0, and f′(t)→λ, as t→+∞, where λ∈{0,1} and 0<β<1. The problem arises in the study of the opposing mixed convection a...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2018-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2018/4340204 |
| Summary: | In this paper, we are concerned with the solution of the third-order nonlinear differential equation f″′+ff″+βf′(f′-1)=0, satisfying the boundary conditions f(0)=a∈R, f′(0)=b<0, and f′(t)→λ, as t→+∞, where λ∈{0,1} and 0<β<1. The problem arises in the study of the opposing mixed convection approximation in a porous medium. We prove the existence, nonexistence, and the sign of convex and convex-concave solutions of the problem above according to the mixed convection parameter b<0 and the temperature parameter 0<β<1. |
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| ISSN: | 1085-3375 1687-0409 |