ve Laminar Radiating Flow over an Accelerated Vertical Plate Embedded in a Porous Medium with an External Magnetic Field

摘要

In this paper we investigate the effects of conduction-radiation and porosity of the porous medium on laminar convective heat transfer flow of an incompressible, viscous, electrically conducting fluid over an impulsively started vertical plate embedded in a porous medium in presence of transverse magnetic field. The fluid considered here is a gray, absorbing/emitting radiation, but a non-scattering medium. The governing boundary layer equations have been solved analytically by using Laplace transform technique. Numerical evaluation of the analytical results is performed and graphical results for velocity and temperature profiles within the boundary layer are discussed. The results show that increased cooling (Gr>0) of the plate leads to a rise in the velocity profile. It is also observed that the velocity decreases with increasing magnetic field parameter (M) or conduction-radiation parameter (N_a) or porosity parameter (K_r). Applications of the study arise in materials processing and solar energy collector systems.