Numerical study of MHD flow and heat transfer of an unsteady third grade fluid with viscous dissipation

In ongoing investigation the unsteady magneto-hydrodynamics flow and heat transfer with viscous dissipation of a third grade fluid passed between two long parallel flat porous plates is discussed. With the physical assumptions a coupled system of non-linear partial differential equation is procured as governing MHD flow and heat transfer problem, which is then transformed to a system of non-linear algebraic equations by descretising using fully implicit finite difference scheme and solved numerically by damped-Newton method. Finally the problem is coded using MATLAB programming. The numerical results which characterize the imposing physical parameters are described through various graphs. The foremost finding of the present study is that out two elastic parameters the visco-elastic parameter has a dominant role over the non-Newtonian parameter γ and has a control over reducing thevelocity flow of third grade fluid. Again more viscous dissipation energy is generated when the parameter values of E increases, as a result temperature profile increases. © 2019, International Association of Engineers.