Abstract:
In this study, the investigation on the flow of magnetohydrodynamic (MHD)
reactive third grade viscous fluid between convective cooling horizontal plates with
variable thermal conductivity, viscosity and pre-exponential force is examined. The
thermal conductivity and viscosity of the fluids are based on non-linear relationship with
the fluid temperature which represent reasonable real life model. The fluid is assumed to
be optically thin and the contribution of thermal radiation is taken into account based on
Cogley model whereas the chemical reaction is based on Arrhenius law. Following the
concept of boundary layer approximation, the resulting governing equations of the model
are steady, incompressible momentum and energy equations. The resulting governing
equations which is non-linear couple ordinary differential equations do not have exact
solution . Therefore a recent perturbation method known as Homotopy Analysis Method
(HAM) is used to solve the governing equations after non-dimentionalization with
appropriate dimensionless variables. Consequently, effects of pertinent emerging
parameters on typical reaction rates such as Arrhenius, biomolecular, and sensitized
reaction are investigated. Moreso, velocity and temperature behaviors were discussed and
reported graphically for different flow parameters. The result shows that the skin friction
coefficient and the heat transfer increase due to an increase in the value of variable
thermal conductivity and decreases with increase in the value of variable viscosity
parameter.
