Abstract

The present paper deals with two-dimensional convection flow and heat transfer of a viscous, incompressible, conducting fluid, through porous medium confined in a vertical wavy wall and parallel flat wall under the influence of transverse magnetic field. The non-linear equations governing the flow are solved by linearization technique under the assumption that the flow consists of two parts; a mean part and a perturbed part. Darcy–Brinkman–Forchheimer model is used to visualize the problem. Exact solutions are obtained for the mean part and the perturbed part is solved using long wave approximation method. The effects of various parameters, zeroth order and total axial velocity fields, transverse velocity, temperature distribution, shear stress and heat transfer rate are presented graphically and discussed.

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