MHD radiative Williamson nanofluid through Darcy Forchheimer medium due to stretching sheet in the presence of heat source, activation energy and motile microorganisms

Abstract

The study investigates the magneto radiative flow of Williamson nanofluid with entropy generation in Darcy Forchheimer porous medium over a stretching sheet with motile microorganisms and activation energy. The Brownian motion, thermophoresis, chemical reaction, heat source and suction/injection are also taken into this flow model. The set of partial differential equations (PDEs) in the mathematical framework is simplified to ordinary differential equations (ODEs) by employing the similarity transformation. Computational outcomes are obtained using a Runge-Kutta based shooting technique implemented via the BVP5C MATLAB package. The research illustrates graphical representations elucidating the influence of various dimensionless parameters on flow regime. The main findings indicate that the escalating velocity profile is observed with magnetic field and Darcy-Forchheimer number. Also, an escalation in the Brinkman number and magnetic field increases the entropy generation. The motile microorganism profile is reduced for enlarging values of the bio-convection Lewis number and Peclet number. Furthermore, the thermal efficacy rate in the proximity of the surface is significantly touched up by the enhancing Brownian motion, radiation and suction factor and the proximity solutal transfer rate exhibits elevation with escalating Schmidt and chemical reaction. Implications entail the refinement of thermal exchange and cooling mechanisms employing nanofluids to bolster efficacy and environmental viability.