The MHD Plane Couette Flow in Porous Medium with Transpiration Cooling

Abstract

The study deals with the steady MHD plane Couette flow in porous medium with transpiration cooling of an incompressible viscous fluid. The flow past through two flat permeable plate of infinite length placed horizontally. The solution of the linear ordinary differential equations of velocity and temperature are obtained analytically. The controls of the pertinent parameter of the flow are scrutinized via graphs. The skin-friction coefficient and Nusselt number for different flow parameters have been computed and displayed in table. Some important findings of the study are: Lorentz force has decelerating effect on the velocity profile. The flow field temperature is less for less viscous fluid and is more for more viscous fluid. The drag near the plate increases with the augmentation in the porosity. The present model has applications in heat exchangers, jet nozzles, turbines, etc. To increase the effectiveness of the surface of the heat insulation, the study of free convection is essential to estimate the behavior of porosity in heat transfer. This model can also be used as a quick design instrument for “porous transpiration cooling architectures”.