MHD Maxwell Reactive Flow with Velocity Slip Over a Stretching Surface with Prescribed Heat Flux in the Presence of Thermal Radiation in a Porous Medium

Main Article Content

I. G. Baoku
K. I. Falade

Abstract

This article is concerned with the study of heat and mass transfer of a MHD reactive flow of an upper-convected Maxwell fluid model over a stretching surface subjected to a prescribed heat flux with velocity slip effect in a Darcian porous medium in the presence of thermal radiation and internal heat generation/absorption. The basic boundary layer governing partial differential equations are transformed into a set of coupled ordinary differential equations, which are solved numerically using Runge-Kutta-Fehlberg integration scheme with shooting technique. The far field boundary conditions are asymptotically satisfied to support the accuracy of the numerical computations and the results obtained. The velocity, temperature and species concentration profiles are enhanced by increasing values of velocity slip parameter with Hartmann number, heat generation/absorption parameter and order of chemical reaction parameter respectively.  Increments in the values of velocity slip parameter, Hartmann number, rate of chemical reaction parameter and Prandtl number boost the wall shear stress, dimensionless surface temperature is increased by increasing values of Deborah number, heat generation/absorption and order of chemical reaction parameters while local rate of mass transfer is enhanced by increments in the values of Hartmann number, suction velocity, Darcian porous medium, rate of chemical reaction and velocity slip parameters. The presence of velocity slip on the flow distribution is found to be of great significance to the study.

Keywords:
Magnetohydrodynamics, stretching surface, thermal radiation, porous medium, Maxwell fluid, velocity slip, prescribed heat flux.

Article Details

How to Cite
Baoku, I. G., & Falade, K. I. (2019). MHD Maxwell Reactive Flow with Velocity Slip Over a Stretching Surface with Prescribed Heat Flux in the Presence of Thermal Radiation in a Porous Medium. Journal of Advances in Mathematics and Computer Science, 31(3), 1-25. https://doi.org/10.9734/jamcs/2019/v31i330116
Section
Original Research Article