Heat and Mass Transfer Through a Porous Media of MHD Flow of Nanofluids with Thermal Radiation, Viscous Dissipation and Chemical Reaction Effects
Eshetu Haile *
Department of Mathematics, Osmania University, Hyderabad 500-007, India
B. Shankar
Department of Mathematics, Osmania University, Hyderabad 500-007, India
*Author to whom correspondence should be addressed.
Abstract
The flow problem presented in the paper is a study on boundary layer flow of a nanofluid through a porous medium subjected to a magnetic field, thermal radiation, viscous dissipation and chemical reaction effects. The effects of porosity, thermal radiation, magnetic field, viscous dissipation and chemical reaction to the flow field were thoroughly explained for various values of the governing parameters. Copper (Cu) and Alumina ( ) water nanofluids were considered. The partial differential equations appearing in the governing equations of the problem were transformed into a couple of nonlinear ordinary differential equations with the help of similarity transformations. The transformed equations were solved numerically by the Keller Box method. For selected values of the parameters involved in the governing equations like nanofluid volume fraction , the porous medium parameter , magnetic parameter , Eckert number Schmidt number , Soret number thermal radiative parameter and chemical reaction parameter , numerical results of velocity field, temperature distribution, concentration, Skin friction coefficient, Nusselt number and Sherwood number were obtained. The results were analysed and discussed with the help of graphs and tables. Comparisons with previously published works were performed and they are found in excellent agreement.
Keywords: Heat and mass transfer, MHD flow, nanofluids, porous media, thermal radiation, viscous dissipation, chemical reaction