Estimation of entropy optimization in Darcy-Forchheimer flow of Carreau-Yasuda fluid (non-Newtonian) with first order velocity slip

Abstract

This research article elaborates the salient attributes of sundry variables i.e., Darcy-Forchheimer number, mixed convection parameter, porosity parameter, Weissenberg number, slip parameter, Prandtl number, activation energy parameter and chemical reaction parameter on the forced convective Darcy-forchheimer flow of non-Newtonian fluid (Carreau-Yasuda fluid) subject to stretchable and flat surface of the sheet. A general mathematical form of the entropy generation rate for Carreau-Yasuda fluid is derived in the presence of porosity irreversibility, fluid friction irreversibility, heat transfer irreversibility and Joule heating irreversibility through second law of thermodynamics. The fluid flow is saturated and magnetized through Darcy-Forchheimer porous medium and applied magnetic field. The energy equation is modeled in the presence of viscous dissipation. Series solutions are calculated by semi analytical method HAM. The behavior of pertinent flow parameters is discussed graphically. The main interest in giving to the engineering curiosity like velocity gradient and Nusselt number. The main theme of this research communication is to enhance the information of entropy optimized flow and heat and mass transport, and to inspire the investigators and analysts to scrutinize gradually innovative attributes that can take improvement on the entropy generation minimization.