Irreversibility analysis in hydromagnetic flow of Newtonian fluid with Joule heating: Darcy-Forchheimer model

Background and objective: The implication of entropy analysis is noticed in various processes like cooling system, heat exchangers, thermal systems, thermal power plants, combustion, porous media, turbine systems and nuclear reactions etc. In view of such thermal applications, the theme of this paper is to analyze the entropy optimization in chemical reactive flow of Darcy-Forchheimer viscous liquid with Lorentz force by a stretched bended sheet. Energy equation is developed through thermodynamics first law with radiation, magnetic field, heat generation and dissipation. Entropy is calculated through second law of thermodynamics. Furthermore, chemical reaction is addressed. Here heat transport phenomena for both prescribed surface temperature (PHF) and prescribed heat flux (PST) types are discussed. Methodology: The proposed systems are modeled in a curvilinear coordinate. Nonlinear dimensionless systems are obtained through implementation of suitable variables. The proposed systems are solved for convergent solution through numerical approach (ND-solve method). Results: Significant effect of entropy generation, fluid flow, concentration, thermal filed and Bejan number against influential variables are studied. Computational analysis of skin friction and thermal transport rate via flow variables are discussed. Here heat transport rate for both (PHF) and (PST) cases are studied. A reverse scenario is seen for fluid flow and thermal field through Hartman number. A decrement in fluid flow is noticed for porosity variable. Conclusions: A similar impact holds for entropy rate and thermal field through radiation effect. An intensification in curvature variable improves both fluid flow and concentration. A reverse trend for Bejan number and thermal field is seen through Brinkman number. Reduction occurs in concentration with higher Schmidt number. An amplification in drag force is observed for Hartman number, while reverse effect holds for curvature variable. An intensification in porosity variable rises both entropy and Bejan numbers. Higher approximation of curvature parameter reduces thermal transport rate for prescribed surface temperature (PHF) while reverse trend holds for prescribed heat flux (PST).

Automated summary

This paper focuses on analyzing entropy optimization in chemical reactive flow using a curvilinear coordinate system. Numerical analysis shows that an increase in curvature variable improves fluid flow and concentration, while an increase in Schmidt number leads to a decrease in concentration.