An optimal study for Darcy-Forchheimer flow with generalized Fourier's and Fick's laws

Abstract

This article addresses boundary-layer flow of third grade fluid saturating a non-Darcy porous medium. Induced flow is by a stretchable surface. Flow in porous media is described by employing the Darcy-Forchheimer based model. Generalized versions of Fourier's and Fick's laws via Cattaneo-Christov double diffusion expressions are utilized. Transformation method is employed for reduction process of nonlinear partial differential systems into the nonlinear ordinary differential systems. Optimal homotopy analysis method (OHAM) develops the computations. The optimal values of nonzero auxiliary parameters are computed and analyzed. The optimal solutions of temperature and concentration fields are presented through the plots. The skin friction coefficient and local Nusselt and Sherwood numbers are also studied through numerical data. Our results reveal that the local Nusselt and Sherwood numbers are higher for larger values of thermal and concentration relaxation parameters.