Analysis of unsteady viscous dissipative poiseuille fluid flow of two-step exothermic chemical reaction through a porous channel with convective cooling

Abstract

In this study, the viscous dissipation of heat transfer of poiseuille fluid flow of two-step exothermic chemical reaction through a porous channel is investigated under different chemical kinetics. The flow is pressure-driven past fixed plates with heat generation. The upper wall surface is exposed to heat exchange with the temperature of the ambient aligning with the Newton’s law of cooling. The modeled coupled partial differential equations are non-dimensional and solved using stable and unconditional semi-implicit convergent finite difference method. The results are represented graphical and discussed accordingly for the velocity and temperature profiles showing the effect of some embodiment parameters entrenched in the system. From the results it was noticed that an increase in Frank-Kamenetskii parameters produces significant rises in the temperature distribution.

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Keywords

Dissipation, Poiseuille flow, Exothermic reaction, Convective cooling, Finite difference method

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