Analytical and numerical investigation of Darcy-Forchheimer flow of a nonlinear-radiative non-Newtonian fluid over a Riga plate with entropy optimization

Abstract

The effects of the Riga plate flow of Williamson fluid with a Darcy-Forchheimer medium and suction/injection are explained in this study. Convective heat and mass circumstances are considered. The energy and concentration equations are developed using Catteneo-Christov dual theory. The heat transfer attributes are analyzed via heat consumption/generation. To estimate total entropy creation, the second law of thermodynamics is applied. The governed mathematical models are transmuted into an ODE model by adopting befitting variables. The MATLAB bvp4c algorithm and the HAM scheme are used to solve these problems numerically and analytically. Novel attributes of various physical parameters are debated through graphs, charts and tables. The fluid flow speed decelerates when enlarging the Weissenberg number and porosity parameters. The fluid temperature enriches when enhancing the radiation parameter. The chemical reaction parameter leads to suppresses the fluid concentration. The higher quantity of heat consumption/generation parameter enriches the heat transfer gradient. The mass transfer gradient accelerates due to more presence of the chemical reaction parameter. We also compared numerical and analytical results and found them in good agreement. When the values of the radiation parameter, Brinkman number, and Reynolds number are increased, the entropy generation increases. The Bejan number downturns when enlarging the modified Hartmann number.