NEW RESULTS ON A MIXED CONVECTION BOUNDARY LAYER FLOW OVER A PERMEABLE VERTICAL SURFACE EMBEDDED IN A POROUS MEDIUM

Abstract

The objective of this paper is to prove the existence, non-existence and the sign of convex and convex-concave solutions of the third-order non-linear differential equation f^'''+ff^''+βf^' (f^'-1)=0, satisfying the boundary conditions f(0)=a∈R, f^' (0)=b<0 and〖 f〗^'→λ as t→+∞ where λ∈{0,1} and β<0. The problematic arises in the study of the Mixed Convection Boundary Layer flow over a permeable vertical surface embedded in a Porous Medium according to the mixed convection parameter b<0, the permeable parameter a∈R and the temperature parameter β<0.