An Extension Result of the Mixed Convection Boundary Layer Flow Over a Vertical Permeable Surface Embedded in a Porous Medium

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ABSTRACT

In this paper we are concerned with the solution of the third-order non-linear differential equation f000 + ff00 + f0(f0 ? 1) = 0, satisfying the boundary conditions f(0) = a 2 R, f0(0) = b < 0 and f0(t) ?! , as t ! +1 where 2 f0; 1g and < 0: The problematic arises in the study of the Mixed Convection Boundary Layer flow over a permeable vertical surface embedded in a Porous Medium. We prove the non-existence and the sign of convex and convex-concave solutions of the above problem according to the mixed convection parameter b < 0, the permeable parameter a 2 R and the temperature parameter < 0.

KEYWORDS

Opposing mixed convection, Boundary layer problem, Existence and nonexistence, Convex solution, Convex-Concave solution.

Cite this paper

Khaled Boudjema Djeffal, Khaled Bouazzaoui, Mohammed Aiboudi. (2020) An Extension Result of the Mixed Convection Boundary Layer Flow Over a Vertical Permeable Surface Embedded in a Porous Medium. International Journal of Mathematical and Computational Methods, 5, 4-8