Fully developed second order velocity slip Darcy-Forchheimer flow by a variable thicked surface of disk with entropy generation

Abstract

This research communication deals with nonlinear mixed convection and entropy generation analysis of second order velocity slip flow of viscous fluid by a variable thicked stretchable surface of disk. The stretchable disk were subjected to convective boundary conditions at the surface for heat and mass transport. A Darcy-Forchheimer relation is considered and Buongiorno nanofluid model is used in the mathematical modeling. Total entropy rate subject to four types of irreversibilities i.e., heat transfer, fluid friction, chemical reaction or concentration and joule heating is calculated via second law of thermodynamics. Binary chemical reaction with Arrhenius activation energy is also considered. The governing expressions relevant to both fully developed laminar flows (hydro-dynamically and thermally) were solved analytically through homotopy analysis method. The computational solutions for the velocity field, temperature distribution, concentration distribution, entropy generation rate, skin friction coefficient, Bejan number, Nusselt number in terms of different parameters like stretching parameter, second order velocity slip, mixed convection parameter, magnetic parameter, thermal biot number, Eckert number, activation energy parameter and solutal biot number were obtained. The obtained outcomes indicate that an increase in second order velocity slip and mixed convection parameters leads to a decrease in velocity components i.e., axial and radial. Temperature distribution is strongly affected by the rising values of Eckert number and thermal biot number and show increasing behavior. The engineering curiosity like skin friction coefficient and Nusselt and Sherwood numbers are calculated numerically and examined through tabular form. The results of present communication are helpful in deep understanding of flow and heat and mass transports by a variable thicked surface of stretchable disk and more thermally well-organized microfluidic devices which use viscous fluids