International Journal of Engineering Research

B. Mallikarjuna ¹, S. V. S. S. N. V. G. Krishna Murthy ², Ali J. Chamkha ³

Affiliations
1 Department of Mathematics, BMS College of Engineering, Bangalore-560019, Karnataka, IN
2 Department of Applied Mathematics, Defense Institute of Advanced Technology, Deemed University, Pune-411025, IN
3 Manufacturing Engineering Department, Public Authority for Applied Education and Training, Shuweikh-70654, KW

Abstract

A mathematical model has been developed for multi-physical transport of free and mixed convective heat and mass transfer flow of a viscous fluid near sinusoidal wavy surface in a fluid saturated porous medium by taking into account of thermophoresis effect. The Darcy's law can be used to describe the saturated porous medium. The governing nonlinear coupled equations representing transport of mass, momentum, energy and species are transformed into a smooth surface by using a suitable transformation. Then the transformed partial differential equations are converted into coupled nonlinear ordinary differential equations and then solved numerically by using shooting technique. The numerical results compared with previously published work and the results are approximately found to be a very good agreement. It is noted that concentration distribution is more pronounced due to the effect of thermophoresis and it is more significant with varying values of the parameters in both cases of assisting flow and opposing flow. The numerical results reported for fluid velocity, temperature and concentration profiles and the local Nusselt number and Sherwood number reveal interesting phenomenon, and some of these qualitative results are illustrated through graphs.

Keywords

Vertical Wavy Surface, Thermophoresis Effect, Free and Mixed Convection, Darcy Porous Media.

Full Text