Second Law Analysis of Passive Control MHD Flow in the Presence of Arrhenius Chemical Reaction with Heat Generation/Absorption

Abstract

The motivation for this research paper is to analyze second law analysis of passive control MHD flow in the presence of Arrhenius Chemical reactions with Heat Generation Absorption. In this paper, a mathematical model for second law analysis of passive control MHD flow in the presence of Arrhenius Chemical reactions with Heat Generation Absorption was formulated. The momentum, energy, magnetic, and species equations were non-dimensionalized to arrive at dimensionless equations. The dimensionless equations were solved analytically with the use of asymptotic expansions defined about activation energy parameter 𝜖 . With graphical representation, the effect of various important physical parameters on entropy generation, velocity, energy, concentration and chemical species for reactivity parameter, convective heat transfer, heat generation, thermal buoyancy, soret number, Eckert number, mass buoyance, thermal buoyance, Hartman number, velocity slip factor, Frank-Kamenestkii and Prandtl number were investigated. A table is also given that provides the results of different parameters on Entropy, Velocity, Temperature and Concentration. The total entropy generation is reduced to the entropy generation due to heat transfer for tiny thermal Grashof numbers because there is virtually no or very little convection and zero entropy creation due to fluid friction. At larger Grashof numbers, convectional heat transfer starts to have a major impact on flow velocity and, as a result, entropy formation due to viscous effects. Additionally, the deformed isotherms increase the temperature gradient, which in turn causes a heat-induced entropy formation