S.O. Salawu - Department of Mathematics, Landmark University, Omu-aran, Nigeria
S.I. Oke - Department of Mathematical Sciences, University of Zululand, Zululand, South Africa

In this study, the analysis of inherent irreversibility of chemical reactive third-grade poiseuille flow of a variable viscosity with convective cooling is investigated. The dissipative heat in a reactive exothermic chemical moves over liquid in an irreversible way and the entropy is produced unceasingly in the system within the fixed walls. The heat convective exchange with the surrounding temperature at the plate surface follows Newton’s law of cooling. The solutions of the dimensionless nonlinear equations are obtained using weighted residual method (WRM). The solutions are used to obtain the Bejan number and the entropy generation rate for the system. The influence of some pertinent parameters on the entropy generation and the Bejan number are illustrated graphically and discussed with respect to the parameters.

Exothermic reaction, third-grade fluid, Poiseuille flow, Variable Viscosity, Convective cooling