MHD Micropolar Fluid Flow Over a Permeable Stretching Sheet in the presence of Variable Viscosity and Thermal Conductivity with Soret and Dufour Effects.

  • E. O. Fatunmbi Department of Mathematics and Statistics, Federal Polytechnic, Ilaro, Nigeria.
  • O. J. Fenuga Department of Mathematics, University of Lagos, Nigeria
Keywords: Dufour effect; Lie-group scaling; Micropolar fluid; Soret effect; Weighted residuals method.

Abstract

This study investigated the heat and mass transfer behaviour of thermally radiating and chemically reacting MHD Micropolar fluid over a permeable stretching sheet in a Darcy-Forchheimer porous medium under the influence of temperature dependent viscosity and thermal conductivity. The effects of Soret and Dufour in the presence of non-uniform heat source/sink are also examined. The coupled nonlinear partial differential equations
governing the fluid flow are transformed into coupled nonlinear ordinary differential equations by applying Lie-group scaling transformations. The resulting coupled nonlinear ODEs are solved by means of Weighted residuals method (WRM) and the obtained solution compared with shooting technique alongside fourth order Runge-Kutta method. The influences of the emerging flow parameters on the dimensionless velocity, microrotation, temperature and species concentration profiles are graphically presented while the effects of some selected flow parameters on the skin friction coefficient, wall couple stress, heat and mass transfer rates are tabulated.

Published
2018-04-12
How to Cite
Fatunmbi, E. O., & Fenuga, O. J. (2018). MHD Micropolar Fluid Flow Over a Permeable Stretching Sheet in the presence of Variable Viscosity and Thermal Conductivity with Soret and Dufour Effects. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 2017, 211 - 232. Retrieved from http://ijmso.unilag.edu.ng/article/view/10
Section
Articles