Analytical Solution of a Reactive Hydromagnetic Fluid Through Porous Media Between Permeable Pipes Under Optically Thick Limit Radiation

M. A. Usman, A. B. Sikiru and M. O. Olayiwola

ABSTRACT


Abstract

In this paper, we investigated the flow of a reactive hydromagnetic fluid through porous media between permeable beds under optically thick limit radiation. The Navier-Stokes equations employed for the flow between the permeable beds are presented with the Mathematical modeling for the velocity field and mass flux of the flow using direct method to solve the governing equation in order to get the exact solution with the appropriate boundary conditions.The solution of velocity was used to examine the influence of magnetic strength on a steady state of a reactive hydromagnetic fluid flow under optically thick limit radiation. The results were presented graphically showing the effects of Hartmann number (M), Reynolds number (R) and the Darcy number (Da) against the velocity profile on the flow regime.

Keywords: Hydromagnetic; Fluid; Optically Thick Limit; Porous Media; Pipes.