Eur. Phys. J. Spec. Top. (2021) 230: 1293-1305
https://doi.org/10.1140/epjs/s11734-021-00056-6

Regular Article

Significances of Darcy–Forchheimer porous medium in third-grade nanofluid flow with entropy features

¹ Department of Mathematics, Erode Arts and Science College, 638 009, Erode, Tamil Nadu, India
² Department of Mathematical Sciences, Faculty of Science, Princess Nourah Bint Abdulrahman University, Riyadh, Saudi Arabia
³ Department of Mathematics, Government Arts College for Men, 635 001, Krishnagiri, Tamil Nadu, India
⁴ Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University, 13318, Riyadh, Saudi Arabia

^a loganathankaruppusamy304@gmail.com

Received: 28 September 2020
Accepted: 31 January 2021
Published online: 12 April 2021

Abstract

This work addresses the impact of magnetohydrodynamic Darcy–Forchheimer flow of third-grade nanofluid towards a linearly elastic sheet. Examination has been undertaken in the attendance of velocity slip, Newtonian heating, and non-Fourier heat and mass flux which has not been studied previously. Based on Darcy–Forchheimer model was implemented to illustrate the flow during the porous medium. The entropy minimization of the total system is calculated. Suitable variables are implemented to change the obtained mathematical models into an ODE models. Series solutions are derived by adopting homotopic simulation. After that, the complete investigation of the impact of flow regime on distinct thermofluidic parameters are conferred in the way of graphs and tables. To find the precision of the present solution scheme, a comparison table in limiting conditions is done between the previously available literature and the present results.