MHD non-Newtonian thin film fluid flow due to an unsteady stretching sheet under thermocapillarity phenomenon

Ahmed M. Megahed and Mostafa A. A. Mahmoud ()
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Ahmed M. Megahed: Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt
Mostafa A. A. Mahmoud: Department of Mathematics, Faculty of Science, Benha University, Benha, Egypt

International Journal of Modern Physics C (IJMPC), 2019, vol. 30, issue 11, 1-11

Abstract: This theoretical work explores the effect of the magnetic field on the liquid thin film flow of a non-Newtonian Powell–Eyring fluid. The thermocapillarity phenomenon in association with the effect of slip velocity is studied. In our research, we cannot ignore the important role of the numerical shooting method which employed to get the solution for our problem. This method helped us to sketch both the dimensionless velocity and the dimensionless temperature for several parameters. Furthermore, the authentication on the correctness and effectiveness for our method is checked by performing a comparison between this problem in the absence of some parameters and the previously published work, which confirms the robustness for the shooting method. Finally, an overview of the effect of the emerging parameters on the velocity and temperature profiles as well as the local skin-friction coefficient and the local Nusselt number is done.

Keywords: Powell–Eyring thin film; unsteady stretching sheet; slip velocity; magnetic field; thermocapillarity phenomenon (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1142/S0129183119500852

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