Entropy optimized Darcy–Forchheimer nanomaterial flow subject to cubic autocatalysis chemical reactions

Abstract

The objective of this paper is to discuss the entropy generation in electromagnetohydrodynamic (EMHD) Darcy–Forchheimer nanomaterial flow. Porous space by Darcy–Forchheimer relation is characterized. Thermal expression comprises of radiation, heat generation, electric and magnetic fields and dissipation. Buongiorno model (thermophoresis and random motions) for nanomaterial is taken. Features of entropy generation are addressed. Furthermore, cubic autocatalysis isothermal chemical reactions are studied. Newton built in-shooting technique is implemented for the solution of nonlinear differential system invoking appropriate transformation. Influence for emerging parameters on velocity, concentration, entropy rate and thermal field is graphically addressed. Velocity has similar behaviors for magnetic and electric field variables. Larger approximation of Eckert number boosts up temperatures while reverse trend holds for Prandtl number. Concentration has reverse impact for random and thermophoresis parameters. Entropy generation follows a similar pattern for Brinkman number and porosity parameter.