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Research Paper | Mathematics | Nigeria | Volume 7 Issue 9, September 2018

Magnetic and Viscous Dissipation Effects on Convection-Radiation in Corrugated Channel with Porous Medium and Uniform Heat Flux

P. F. Fasogbon

Abstract: This manuscript investigates the influence of Ohmic heating and viscous dissipation on steady free convective MHD fluid flow through a wavy channel, with porous medium in presence of heat generation, bounded by adiabatic-isoflux walls. The fluid is an optically thick non-gray gas. The dimensionless governing coupled nonlinear differential equations obtained, using suitable non-dimensional variables, are linearized by perturbation technique and then solved numerically by the mid-point method with Richardson Extrapolation (MMRE) using the software MAPLE. The velocity, temperature, skin-friction coefficient and the rate of heat transfer for meaningful values of some selected parameters are depicted graphically and discussed. It is noticed that increasing of magnetic parameter increases the temperature and decreases the velocity. It is also observed that the velocity/temperature profile is decreasing/increasing with the increasing values of Eckert number while Ohmic heating exhibits the opposite behavior.

Keywords: Joule heating, Adiabatic-isoflux walls, Wavy channel, Temperature dependent heat source and Porous medium

Edition: Volume 7 Issue 9, September 2018,

Pages: 841 - 848