# EFFECTS OF EXOTHERMIC CHEMICAL REACTION WITH ARRHENIUS ACTIVATION ENERGY, NON-UNIFORM HEAT SOURCE/SINK ON MHD STAGNATION POINT FLOW OF A CASSON FLUID OVER A NONLINEAR STRETCHING SHEET WITH VARIABLE FLUID PROPERTIES AND SLIP CONDITIONS

## Abstract

In this analysis, effects of exothermic chemicalreactions with Arrhenius activation energy, non-uniform heat

source/sink on magnetohydrodynamic stagnation point flow of

a Casson fluid over a nonlinear stretching sheet with variable viscosity,

thermal conductivity and slip boundary conditions have

been investigated. An appropriate similarity transformations

were used to transform the governing partial differential equations

into coupled nonlinear ordinary differential equations. The

transformed ordinary differential equations were then solved by

efficient numerical technique known as Keller Box method. The

various parameters such as Prandtl number (Pr), Eckert number

(Ec), Magnetic parameter (M), Casson parameter (β), thermal

radiation (R), non-uniform heat source/sink ($A^∗$, $B^∗$) , velocity

ratio parameter(λ), nonlinear stretching parameter (n), chemical

reaction rate constant (α), activation energy (E) , temperature

dependent viscosity (ξ) , temperature dependent thermal

conductivity ($\epsilon$) and slip parameters ($S_1$, $S_2$, $S_3$ ) determining

the velocity, temperature and concentration distributions,

the local Skin friction coefficient, the local Nusselt number and

the local Sherwood number governing such a flow were also analyzed.

On analysis it has been found that the Skin friction

coefficient, Local Nusselt number and Local Sherwood number

decreases with respect to velocity, thermal and concentration

slips respectively.

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## Published

2017-07-15

## How to Cite

*Journal of the Nigerian Mathematical Society*,

*36*(1), 163–190. Retrieved from https://ojs.ictp.it/jnms/index.php/jnms/article/view/93

## Issue

## Section

Articles