POISEUILLE FLOW OF AN ARRHENIUSLY REACTIVE POWER LAW FLUID INCORPORATED WITHIN PARALLEL PLATES USING REGULAR PERTURBATION METHOD AND DIRECT INTEGRATION

  • A. Ibrahim Department of General Studies, Minna Institute of Technology and Innovation, Minna, Niger State,
  • Z.A. Ishaq Department of General Studies, Minna Institute of Technology and Innovation, Minna, Niger State,
  • M.A. Ishaq Department of General Studies, Minna Institute of Technology and Innovation, Minna, Niger State,

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.

Published
2022-06-22
Section
ARTICLES