Effects of Second Order Chemical Reaction on MHD Free Convection Dissipative Fluid Flow past an Inclined Porous Surface by way of Heat Generation: A Lie Group Analysis

Authors

M. Y. Malik, Department of Mathematics, Quaid-i-Azam University Islamabad 44000, Pakistan.Follow
Khalil-ur-Rehman, Department of Mathematics, Quaid-i-Azam University Islamabad 44000, Pakistan.Follow

Abstract

In this paper, an analysis has been made to explore the characteristics of second order chemical reaction on steady two-dimensional MHD flow of electrically conducting, viscous incompressible fluid in a porous media with heat and mass transfer. A role of free convection is explored by considering viscous dissipation term in energy equation. The symmetry groups admitted by governing boundary value problem are obtained via Lie algebra. The corresponding Lies scaling group of transformations are used to convert coupled non-linear partial differential equations into non-linear ordinary differential equations. Consequently, numerical solution of these equations are investigated by using fifth order R-K (Runge-Kutta) algorithm with shooting technique. The present study revealed that the dimensionless temperature variation is on a serious node against heat generation parameter. Furthermore, effect logs of velocity, temperature and concentration distribution aimed at different physical parameters are discussed graphically. Numerical values of skin friction, Nusselt and Sherwood numbers against various embedded parameters are validated by favourable comparison with previously published results.

Recommended Citation

Y. Malik, M. and Khalil-ur-Rehman (2016) "Effects of Second Order Chemical Reaction on MHD Free Convection Dissipative Fluid Flow past an Inclined Porous Surface by way of Heat Generation: A Lie Group Analysis," Information Sciences Letters: Vol. 5 : Iss. 2 , PP -.
Available at: https://digitalcommons.aaru.edu.jo/isl/vol5/iss2/1