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2018 On the Convex and Convex-Concave Solutions of Opposing Mixed Convection Boundary Layer Flow in a Porous Medium
M. Aïboudi, K. Boudjema Djeffal, B. Brighi
Abstr. Appl. Anal. 2018: 1-5 (2018). DOI: 10.1155/2018/4340204

Abstract

In this paper, we are concerned with the solution of the third-order nonlinear differential equation f + f f + β f ( 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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M. Aïboudi. K. Boudjema Djeffal. B. Brighi. "On the Convex and Convex-Concave Solutions of Opposing Mixed Convection Boundary Layer Flow in a Porous Medium." Abstr. Appl. Anal. 2018 1 - 5, 2018. https://doi.org/10.1155/2018/4340204

Information

Received: 12 September 2018; Accepted: 11 October 2018; Published: 2018
First available in Project Euclid: 14 December 2018

zbMATH: 07029288
MathSciNet: MR3875719
Digital Object Identifier: 10.1155/2018/4340204

Rights: Copyright © 2018 Hindawi

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