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

Author

Listed:
  • Hossam A. Nabwey

    (Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
    Department of Basic Engineering Science, Faculty of Engineering, Menoufia University, Shebin El-Kom 32511, Egypt)

  • 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)

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.

Suggested Citation

  • Hossam A. Nabwey & Aamir Abbas Khan & Muhammad Ashraf & Ahmad M. Rashad & Sumayyah I. Alshber & Miad Abu Hawsah, 2022. "Computational Analysis of the Magnetized Second Grade Fluid Flow Using Modified Fourier and Fick’s Law towards an Exponentially Stretching Sheet," Mathematics, MDPI, vol. 10(24), pages 1-15, December.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:24:p:4737-:d:1002372
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    References listed on IDEAS

    as
    1. Ahmed A. Afify, 2017. "The Influence of Slip Boundary Condition on Casson Nanofluid Flow over a Stretching Sheet in the Presence of Viscous Dissipation and Chemical Reaction," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-12, July.
    2. Evgenii S. Baranovskii, 2021. "Optimal Boundary Control of the Boussinesq Approximation for Polymeric Fluids," Journal of Optimization Theory and Applications, Springer, vol. 189(2), pages 623-645, May.
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