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Flow and heat transfer for MHD wall jet of hybrid nanofluids: theoretical and numerical solutions

Amr M. Mahros (Department of Physics, Faculty of Science, University of Jeddah, Jeddah, Saudi Arabia and Department of Engineering Physics, Alexandria University, Alexandria, Egypt)
Emad H. Aly (Department of Mathematics, Faculty of Science, University of Jeddah, Jeddah, Saudi Arabia and Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, Egypt)
John H. Merkin (Department of Applied Mathematics, University of Leeds, Leeds, UK, and)
Ioan M. Pop (Department of Mathematics, Babeş-Bolyai University, Cluj-Napoca, Romania)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 6 April 2023

Issue publication date: 19 May 2023

57

Abstract

Purpose

This paper aims to study the magnetohydrodynamic (MHD) wall jet of a hybrid nanofluid flow over a moving surface with a thermally convective surface, wall moving with suction/injection.

Design/methodology/approach

On using appropriate similarity transformations, the governing equations that describe the model are converted into a system of nonlinear ordinary differential equations. These equations are solved both analytically and numerically using standard two-point boundary-value problem solvers and Chebyshev pseudospectral differentiation matrix method, respectively.

Findings

These results show that the HNF is heating/cooling with growth of the positive/negative values of the parameter measuring the velocity of the moving surface. The temperature distributions increase, where the thermal boundary layer gets thicker, as the magnetic field strengthens and with an increase in the absolute value of the Biot number.

Originality/value

The current findings for the HNFs are new and original. They generalize successfully the problems investigated previously by different researchers for the cases of fluids and also nanofluids.

Keywords

Acknowledgements

This work was funded by the University of Jeddah, Jeddah, Saudi Arabia, under grant No. (UJ-21-DR-34). The authors, therefore, acknowledge with thanks the University of Jeddah for technical and financial support.

Citation

Mahros, A.M., Aly, E.H., Merkin, J.H. and Pop, I.M. (2023), "Flow and heat transfer for MHD wall jet of hybrid nanofluids: theoretical and numerical solutions", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 33 No. 7, pp. 2649-2670. https://doi.org/10.1108/HFF-09-2022-0555

Publisher

:

Emerald Publishing Limited

Copyright © 2023, Emerald Publishing Limited

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