Significance of variable electrical conductivity on non-Newtonian fluid flow between two vertical plates in the coexistence of Arrhenius energy and exothermic chemical reaction

Abstract

The present study is designed to model the combustible materials of two vertical plates with Arrhenius energy and exothermic chemical reaction. The magnetohydrodynamics fluid is considered to experience an exothermic chemical reaction inside the channel. Additional effects incorporated to the novelty of the model are the rheological Casson fluid term and the variable electrical conductivity. The model has transformed appropriately to its dimensionless form using similarity renovation and the Solution is numerically obtained using the Chebyshev collocation scheme. The influences of controlling parameters on the fluid velocity, temperature, concentration, and heat transfer rate are analyzed using graph and quantitatively discussed. Analyses reveal that the activation energy declines the fluid velocity, while the existence of the variable electrical conductivity parameter has the opposite effect. The heat transfer rate is enhanced with higher values of concentration buoyancy (Gc) and variable electrical conductivity parameter. Moreover, the non-Newtonian Casson fluid parameter shows a solid characteristic when yield stress is more than the shear stress. Thermal and chemical engineering, as well as service-worthiness of industrial products, will benefit from the findings of this study.

Keywords

• Magnetohydrodynamics fluid
• Rheological Casson fluid
• Arrhenius energy and exothermic chemical reaction