Effects Of Viscous Dissipative Fluid on Couette Flow in A Vertical Channel Due to Newtonian Heating

Abstract

This article presents the numerical investigation of magnetohydrodynamic (MHD) heat transfer flow of viscous dissipation in vertical channel in the presence of Newtonian heating. The coupled nonlinear dimensional partial differential equations governing the flow are converted into non-dimensional form by using the appropriate dimensionless quantities and parameters Implicit Finite Difference Method (IFMD) was employed in finding the solutions of dimensionless partial differential equations. The expressions of velocity, temperature, skin friction and Nusselt number were obtained numerically and discussed using line graphs. From the outcome of the results, it was concluded that rising the Newtonian heating parameter (γ), Brinkman number (Br), lead to a substantial growth of velocity and temperature. Similarly, as the, Grashof number (Gr) increases, the velocity of the fluid also gets increased. The skin friction gets enlarged with the increase of Grashof number (Gr), Newtonian heating parameter (γ), Brinkman number (Br) and time at .The Nusselt number gets reduced with the increase in Newtonian heating parameter (γ), Brinkman number, and time parameter at  and increases at .