Abstract
In this study, the analytical solution of steady hydromagnetic double exothermic combustible reaction fluid flow in a porous medium with convective cooling wall is presented. The viscous heating reactive liquid is totaling exothermic without consumption of material. The combustion reaction of the fluid takes place in a Poiseuille device, and it is been propelled by pressure gradient and pre-exponential bimolecular kinetics. The device is exposed to convective cooling to keep the reactive hydromagnetic fluid from distortion. The weighted residual method (WRM) is analytically used to get the numerical values for the dimensionless nonlinear governing equations. The solution to temperature and velocity distribution is carried out and the result is graphically depicted. The Nusselt number and skin friction coefficient is also showed for some significant parameters engrained in the flow and the solution obtained is compared with numerical method. As obtained in the study, the second exothermic reaction term increases the combustion process; hence the term will assist in reducing toxic discharge from the engines that pollute the environment. The Frank-Kamenetskii parameter contributes highly to system thermo-fluid destruction; as such it must be monitored.
Highlights
The idea of laminar flow of fluid particles along a medium continues to receive tremendously attention because of its application to fluid mechanics in industries
Some convective fluids flows are caused by the generating or absorbing of heat which results to a fluid chemical reaction
The combustion reaction of the fluid takes place in a Poiseuille device, and it is been propelled by pressure gradient and preexponential bimolecular kinetics
Summary
The idea of laminar flow of fluid particles along a medium continues to receive tremendously attention because of its application to fluid mechanics in industries. The flow of exothermic reactive fluid is useful in industrial and engi-. Neering system and is frequently accompanied with heat transfer which has long been called combustion, Makinde [2]. Some convective fluids flows are caused by the generating or absorbing of heat which results to a fluid chemical reaction. Generation or the absorption of heat has been assumed to depend on temperature. The effect of heat production or absorption of nonhomogenous state in a micro polar fluid with variable conductivity was considered by Chen [3]. The results show the dependent generation of heat at the surface is less to temperature
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