Thermal Radiation Effects on MHD Unsteady Couette Flow Heat and Mass Transfer Free Convective in Vertical Channels due to Ramped and Isothermal Temperature

Abstract

Numerical investigations were carried out to study thermal radiation effects on magneto-hydrodynamics (MHD) unsteady Couette flow heat mass transfer free-convective in vertical channels due to ramped and isothermal temperature. The governing coupled non-linear partial differential equations of the flow were transformed into non-dimensional form using suitable dimensional quantities. Finite element method (FEM) was employed to find numerical solution of the dimensionless governing coupled boundary layer partial differential equations. The expressions of velocity, temperature, concentration, skin friction, Nusselt number as well as Sherwood number have been obtained and discussed using line graph. From the outcome of the result it was revealed that, increase of porosity parameter K, ratio of mass transfer parameter N, Time parameter t, Eckert number Ec enhances the velocity and temperature while reverse is the case with the with increase of Magnetic parameter M, Radiation parameter tern R and Prandtl number Pr. At y = 0, the fluid skin friction gets enlarged with increase in porosity parameter K, Nusselt number gets increased with increase of Prandtl number Pr and Sherwood number gets boosted with increase of Eckert number Ec. Similarly, at y = 1 skin friction gets enhanced with increase of porosity parameter K, Nusselt number diminishes with increase of Prandtl number Pr and Sherwood number gets enlarged with increase of Eckert number Ec.