Finite element analysis of heat generation/absorption of viscous dissipation effects on MHD Casson fluid flow over exponentially accelerated temperature with ramped surface concentration

摘要

This paper studies the effects of viscous dissipation, chemical reaction and heat generation/absorption on unsteady MHD Casson fluid flow over an exponentially accelerated vertical plate embedded in a porous medium with ramped wall temperature and ramped surface concentration. By introducing the similarity variables, the dimensional governing equations are converted to non-dimensional form and solved numerically by using the Galerkin Finite Element Method and expressions for velocity, temperature and concentration profiles are obtained. The change of velocity, temperature and concentration profiles effected by the parameters such as Prandtl number(Pr), Casson parameter (γ), permeability parameter (k), Schmidt number (Sc), Grashof number (Gr, Gm), chemical reaction parameter R', heat generation/absorption (H), Eckert number (Ec). The obtained results are presented graphically and discussed quantitatively.