Viscous Dissipation Effects on Unsteady MHD Flow Past an Impulsively Started Infinite Isothermal Vertcal Plate in The Presence of Radiation

Abstract

In this paper, the effects of viscous dissipation on an unsteady MHD viscous incompressible fluid flow past an impulsively started infinite isothermal vertical plate in the presence of radiation has been presented. The fluid is considered gray, absorbing-emitting radiation but a non-scattering medium. Thermal radiation effects are simulated via a radiation parameter $N$, based on the Rossseland diffusion approximation. The momentum and thermal boundary layer equations are non-dimensionalized using appropriate transformations and then solved numerically subject to physically realistic boundary conditions by using the Ritz finite element method. The influence of physical parameters on the velocity profiles $(u)$, temperature distribution $(\theta )$, skin-friction $(\tau )$, and the Nusselt number $(Nu)$ are presented with the help of graphs and tables. The obtained results show that a decrease in the velocity and temperature as the radiation parameter is increased. The velocity $u$ is decreased as the magnetic parameter increases and increases with increasing Grashof number and time parameter. The skin-friction increases with increase in the magnetic parameter and decreases with increasing Grashof number and Eckert number.