IRREVERSIBILITY RATIO OF A REACTIVE MHD THIRD GRADE FLUID IN A CONVECTIVECIRCULAR PIPE WITH VARIABLE THERMAL CONDUCTIVITY AND RADIALLY APPLIED MAGNETIC FIELD

Abstract

The collective effects of variable thermal conductivity and radially applied magnetic field on irreversibility ratio of a steady reactive third grade magnetohydrodynamic fluid flowing through a uniformly circular pipe with convective boundary condition is presented. The governing equations were obtainable and the resulting non-linear dimensionless equations were solved numerically using Galerkin Weighted Residual Method. The entropy number was computed from the obtained velocity, temperature and concentration profile. A parametric study of all parameters involved are presented graphically and discussed. It was observed that irreversibility due to heat transfer dominates the flow compared to fluid friction, magnetic parameter, Dufourand Biot numbers inhibits the Bejan number while Brickman number and thermal conductivity, Joule heating parameter enhances the Bejan number.