Entropy Generation in MHD Mixed Convection Non-Newtonian Second-Grade Nanoliquid Thin Film Flow through a Porous Medium with Chemical Reaction and Stratification

Entropy (Basel). 2019 Feb 1;21(2):139. doi: 10.3390/e21020139.

Abstract

Chemical reaction in mixed convection magnetohydrodynamic second grade nanoliquid thin film flow through a porous medium containing nanoparticles and gyrotactic microorganisms is considered with entropy generation. The stratification phenomena, heat and mass transfer simultaneously take place within system. Microorganisms are utilized to stabilize the suspended nanoparticles through bioconvection. For the chemical reaction of species, the mass transfer increases. The governing equations of the problem are transformed to nonlinear differential equations through similarity variables, which are solved through a well known scheme called homotopy analysis method. The solution is expressed through graphs and illustrations which show the influences of all the parameters. The residual error graphs elucidate the authentication of the present work.

Keywords: chemical reaction; convective boundary conditions; entropy generation; gravity-driven; gyrotactic microorganisms; homotopy analysis method; magnetohydrodynamic; mixed convection; passively controlled nanofluid model; residual errors; second-grade nanofluid; thin film.