Poiseuille flow of an arrheniusly reactive power law fluid incorporated within parallel plates using regular perturbation method and direct integration

Abstract

This paper presents an approximate analytical solution capable of analyzing the velocity, temperature and concentration distribution in the  poiseuille flow of an arrheniusly reactive power law fluid incorporated within parallel plates. The equations governing the phenomenon are solved  analytically using regular perturbation  method and direct integration, to show the influence of the parameter involved on the system. The effect of  change in parameters such as the power law index, the pressure gradient coefficient, the viscous heating parameter, the Arrhenius chemical  reaction rate and the Frank-Kamenetskii number are presented graphically and discussed. The result obtained revealed that the power law index, the pressure gradient coefficient, the viscous heating parameter, the Frank-Kamenetskii number and the Arrhenius chemical reaction rate enhanced  the fluid flow, average   temperature and species concentration.