The analysis of a reactive hydromagnetic internal heat generating poiseuille fluid flow through a channel.

A R Hassan,R Maritz

doi:10.1186/s40064-016-2964-0

Abstract

In this paper, the analysis of a reactive hydromagnetic Poiseuille fluid flow under different chemical kinetics through a channel in the presence of a heat source is carried out. An exothermic reaction is assumed while the concentration of the material is neglected. The Adomian decomposition method together with Pade approximation technique are used to obtain the solutions of the governing nonlinear non-dimensional differential equations. Effects of various physical parameters on the velocity and temperature fields of the fluid flow are investigated. The entropy generation analysis, irreversibility distribution ratio, Bejan number and the conditions for thermal criticality for different chemical kinetics are also presented.

Highlights

Considerable effort has been devoted to the study of a reactive hydromagnetic fluid flow which finds numerous and wide-ranging applications in many engineering processes, such as polymer extrusion, nuclear reactor design, geophysics and underground storage of nuclear waste and energy storage systems amongst others
Results and discussion we compare the solutions of temperature profiles, entropy generation rates, solution branches and thermal criticality for different chemical kinetics under the influence of a heat source and magnetic intensity
Our results shall show the efficiency of the Adomian decomposition method (ADM) and the effect of internal heat generation which was not accounted for in Makinde and Beg (2010) where the Perturbation method (PM) was used to find the solutions of the governing equations

Summary

Introduction

Considerable effort has been devoted to the study of a reactive hydromagnetic fluid flow which finds numerous and wide-ranging applications in many engineering processes, such as polymer extrusion, nuclear reactor design, geophysics and underground storage of nuclear waste and energy storage systems amongst others. Hassan and Gbadeyan (2015a) investigated the entropy generation analysis of a reactive hydromagnetic fluid flow through a channel with isothermal wall temperature under different chemical kinetics without taking into account the effects of internal heat generation within the flow system.

Results

Conclusion