Heat and mass transfer flow of MHD nanofluid over permeable stretching sheet in a porous medium with chemical reaction: A Lie group analysis

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Bipin C. Bhatt, Govind Pathak Khilap Singh

Abstract

The present study is devoted to the numerical solution of the MHD heat and mass transfer flow of Cu-water nanofluid via a permeable stretching sheet in porous medium in the presence of chemical reaction. The system of coupled non-linear partial differential equations is transformed into a system of non-linear ordinary differential equations with the help of Lie group analysis and similarity transformations. The equations thus obtained have been solved by the Runge-Kutta-Fehlberg fourth fifth order method with shooting technique. The effects of different physical parameters on velocity, temperature and concentration distributions are illustrated graphically and discussed in detail. Numerical results for the skin-friction coefficient, the Nusselt and Sherwood numbers are tabulated for various physical parameters.

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