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MHD stagnation-point flow and heat transfer past a stretching/shrinking sheet in a hybrid nanofluid with induced magnetic field

Mohamad Mustaqim Junoh (Institute for Mathematical Research, University Putra Malaysia, Serdang, Malaysia)
Fadzilah Md Ali (Department of Mathematics, Institute for Mathematical Research, Faculty of Science, University Putra Malaysia, Serdang, Malaysia)
Norihan Md Arifin (Department of Mathematics, Institute for Mathematical Research, Faculty of Science, University Putra Malaysia, Serdang, Malaysia)
Norfifah Bachok (Department of Mathematics, Institute for Mathematical Research, Faculty of Science, University Putra Malaysia, Serdang, Malaysia)
Ioan Pop (Department of Mathematics, Babes Bolyai University, Cluj Napoca, Romania)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 3 October 2019

Issue publication date: 2 March 2020

236

Abstract

Purpose

The purpose of this paper is to investigate the steady magnetohydrodynamics (MHD) boundary layer stagnation-point flow of an incompressible, viscous and electrically conducting fluid past a stretching/shrinking sheet with the effect of induced magnetic field.

Design/methodology/approach

The governing nonlinear partial differential equations are transformed into a system of nonlinear ordinary differential equations via the similarity transformations before they are solved numerically using the “bvp4c” function in MATLAB.

Findings

It is found that there exist non-unique solutions, namely, dual solutions for a certain range of the stretching/shrinking parameters. The results from the stability analysis showed that the first solution (upper branch) is stable and valid physically, while the second solution (lower branch) is unstable.

Practical implications

This problem is important in the heat transfer field such as electronic cooling, engine cooling, generator cooling, welding, nuclear system cooling, lubrication, thermal storage, solar heating, cooling and heating in buildings, biomedical, drug reduction, heat pipe, space aircrafts and ships with better efficiency than that of nanofluids applicability. The results obtained are very useful for researchers to determine which solution is physically stable, whereby, mathematically more than one solution exist.

Originality/value

The present results are new and original for the problem of MHD stagnation-point flow over a stretching/shrinking sheet in a hybrid nanofluid, with the effect of induced magnetic field.

Keywords

Acknowledgements

The work on the PhD thesis by Mohamad Mustaqim Junoh has been supported by IPS (Project number: GP-IPS/2018/9570000) from the Universiti Putra Malaysia and from the Ministry of Higher Education, Malaysia. The work of Ioan Pop was supported from the grant PN-III-P4-IDPCE-2016-0036, UEFISCDI, Romania.

Citation

Junoh, M.M., Ali, F.M., Arifin, N.M., Bachok, N. and Pop, I. (2020), "MHD stagnation-point flow and heat transfer past a stretching/shrinking sheet in a hybrid nanofluid with induced magnetic field", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 30 No. 3, pp. 1345-1364. https://doi.org/10.1108/HFF-06-2019-0500

Publisher

:

Emerald Publishing Limited

Copyright © 2019, Emerald Publishing Limited

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