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

The effects of the Riga plate flow of Williamson fluid with a Darcy-Forchheimer medium and suction/in-jection 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 attri-butes 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 param-eter. 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.(c) 2022 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Ain Shams University This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).

Automated summary

This study explains the effects of the Riga plate flow of a Williamson fluid with a Darcy-Forchheimer medium and suction/injection. Convective heat and mass circumstances are considered, and the energy and concentration equations are developed. The heat transfer attributes and entropy generation are analyzed using the second law of thermodynamics. The mathematical models are solved numerically and analytically, and the results are compared. The influence of different physical parameters on fluid flow, temperature, and concentration are discussed.