Span-wise fluctuating MHD convective heat and mass transfer flow through porous medium in a vertical channel with thermal radiation and chemical reaction

Abstract

An exact solution of span-wise fluctuating magnetohydrodynamic (MHD) convective flow problem of a viscous, incompressible and electrically conducting fluid through a porous medium filled in an infinite vertical channel is obtained. The channel walls at and at are subjected to span-wise cosinusoidally varying species concentration and temperature. A magnetic field of uniform strength is applied perpendicular to the planes of the channel plates. The magnetic Reynolds number is assumed very small so that the induced magnetic field is neglected. The temperature difference between the plates is high enough to induce the heat due to radiation. The Rosseland approximation is used to describe the radiation heat flux for the fluid as optically-thick gray gas, absorbing/emitting but non-scattering medium. The partial differential equations governing the flow are solved exactly under the prescribed boundary conditions for the velocity, temperature and species concentration fields. The velocity, temperature, concentration and the skin-friction, Nusselt number, Sherwood number in terms of their amplitudes and phase angles have been shown graphically to observe the effects of different flow parameters. The final results are then discussed in detail in the last section of the paper with the help of figures.