Unsteady MHD Heat Mass Transfer Couette Flow in a Free Convective Vertical Channel due to Dufour and Buoyancy Distribution Effects

Abstract

_{This study investigates the effects of Dufour on unsteady heat and}

_{mass transfer Couette flow in free convective vertical channels in}

_{the presence of buoyancy distribution effects due to ramped and}

_{isothermal temperature. Fitting dimensional quantities were used}

_{to convert the coupled non-linear dimensional partial differential}

_{equations of the flow into non-dimensional non-linear partial}

_{differential equations. Finite element method (FEM) was employed}

_{to solve the non-linear time dependent momentum, energy and}

_{concentration equations under appropriate initial and boundary}

_{conditions. The expressions of velocity, temperature,}

_{concentration, skin friction; Nusselt number as well as Sherwood}

_{number subject to isothermal and ramped temperature boundary}

_{conditions were gained. Selected set of graphical results illustrate}

_{that the thermo—physical parameters control the flow and are in}

_{good agreement with the previous literatures. From the outcome of}

_{the results, it was noticed that increasing the porosity parameter K,}

_{ratio of mass transfer parameter N, buoyancy effect term parameter}

_{, Eckert number and Dufour number ???????? intensifies the}

_{velocity profiles while reverse is the case with the increase of}

_{magnetic parameter M and Prandtl number . Similarly}

_{increasing the porosity parameter K, ratio of mass transfer}

_{parameter N, buoyancy effect term parameter , enhances the}

_{temperature profile and reverse is the case with the increase of,}

_{Prandtl number . Also concentration profiles get enhanced with}

_{the increase of Schmidt ???????? number.}

_.

_{The skin friction at both y = 0}

_{and y = 1 gets intensified with the increase Dufour number ????????́ and}

_{buoyancy parameter for both ramped and isothermal}

_temperature.