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

M. MONICA, J. SUCHARITHA, CH KISHORE

Abstract


In this analysis, effects of exothermic chemical
reactions 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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