Computational Analysis of the Magnetized Second Grade Fluid Flow Using Modified Fourier and Fick’s Law towards an Exponentially Stretching Sheet

Hossam A. Nabwey (), Aamir Abbas Khan, Muhammad Ashraf, Ahmad M. Rashad, Sumayyah I. Alshber and Miad Abu Hawsah
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Hossam A. Nabwey: Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
Aamir Abbas Khan: Department of Mathematics, Faculty of Science, University of Sargodha, Sargodha 40100, Pakistan
Muhammad Ashraf: Department of Mathematics, Faculty of Science, University of Sargodha, Sargodha 40100, Pakistan
Ahmad M. Rashad: Department of Mathematics, Faculty of Science, Aswan University, Aswan 81528, Egypt
Sumayyah I. Alshber: Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
Miad Abu Hawsah: Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia

Mathematics, 2022, vol. 10, issue 24, 1-15

Abstract: Numerical investigation of a chemically reactive second grade fluid flow towards an exponentially stretching sheet into a porous medium induced by thermal and concentration slips boundary conditions is carried out. Further, nonlinear thermal radiations, Joule heating, MHD and thermophoretic impacts are also taken into account. The modified Fourier and Fick’s law is used to analyse the thermal and solutal energy features. The nonlinear systems of partial differential equations, as well as boundary conditions, are transformed into systems of nonlinear ordinary differential equations by imposing appropriate similarity variables. Then these transformed equations are solved using the BVP4C Matlab approach numerically. The graphs and tables of a number of emerging parameters are plotted and discussed. It is noticed that by the improvement of the second grade fluid parameter, the velocity profile is reduced. Moreover, the upsurge of Eckert numbers E c 1 a n d E c 2 and thermal slip parameter S 1 enhance the temperature of the fluid in the flow domain.

Keywords: second grade fluid; porous medium; nonlinear thermal radiation; joule heating; thermophoretic effect; exponentially stretching sheet (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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