Numerical computation of mixed convective entropy optimized in Darcy-Forchheimer flow of Cross nanofluids through a vertical flat plate with irregular heat source/sink

Abstract

This article seeks to provide multiple solutions for the buoyancy effects and heat transfer flow of non-Newtonian Cross nanofluids past a vertical flat plate in a Darcy-Forchheimer porous medium. The experimental properties of nanofluid are considered in this study. In addition, the entropy generation along with irregular heat source/sink is also incorporated. The complete partial differential equations (PDEs) are converted into a particular set of ordinary differential equations (ODE) employing the proper similarity variables. The consequent nonlinear ODE system is then resolved using the MATLAB function bvp4c for distinctive values of pertaining parameters. The profiles of entropy generation for different physical influential parameters are plotted. The results indicate that the boundary layer separation accelerates due to the superior consequence of the permeability parameter. The shear stress declines due to the Weissenberg number and permeability parameter for both solutions, while the rate of heat transfer uplifts owing to the larger influence of the Weissenberg number and permeability parameter.