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Non-axisymmetric Homann stagnation point flow and heat transfer past a stretching/shrinking sheet using hybrid nanofluid

Najiyah Safwa Khashi’ie (Fakulti Teknologi Kejuruteraan Mekanikal dan Pembuatan, Universiti Teknikal Malaysia Melaka, Durian Tunggal, Malaysia and Institute for Mathematical Research, Universiti Putra Malaysia, Serdang, Malaysia)
Norihan Md Arifin (Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, Serdang, Malaysia)
Ioan Pop (Department of Mathematics, Babes Bolyai University, Cluj Napoca, Romania)
Roslinda Nazar (School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi, Malaysia)
Ezad Hafidz Hafidzuddin (Centre of Foundation Studies for Agricultural Science, Universiti Putra Malaysia, Serdang, Malaysia)
Nadihah Wahi (Department of Mathematics, Universit Putra Malaysia, Serdang, Malaysia)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 7 February 2020

Issue publication date: 25 August 2020

197

Abstract

Purpose

This paper aims to scrutinize the analysis of non-axisymmetric Homann stagnation point flow and heat transfer of hybrid Cu-Al2O3/water nanofluid over a stretching/shrinking flat plate.

Design/methodology/approach

The similarity transformation which fulfils the continuity equation is opted to transform the coupled momentum and energy equations into the nonlinear ordinary differential equations. Numerical solutions which are elucidated in the tables and graphs are obtained using the bvp4c solver.

Findings

Non-unique solutions (first and second) are feasible for both stretching and shrinking cases within the specific values of the parameters. First solution is the physical/real solution based on the execution of stability analysis. An upsurge of the ratio of the ambient fluid strain rate to the plate strain rate can delay the boundary layer separation, whereas a boost of the ratio of the ambient fluid shear rate to the plate strain rate only accelerates the separation of boundary layer. The heat transfer rate of hybrid nanofluid is greater for the stretching case than the shrinking case. However, for the shrinking case, the heat transfer rate intensifies with the increment of the copper (Cu) nanoparticles volume fraction, whereas a contrary result is found for the stretching case.

Originality/value

The present numerical results are original and new. It can contribute to other researchers on electing the relevant parameters to optimize the heat transfer process in the modern industry, and the right parameters to generate non-unique solution so that no misjudgment on flow and heat transfer features.

Keywords

Acknowledgements

The authors appreciatively acknowledge the support from Ministry of Education (Malaysia) through the Fundamental Research Grant Scheme (FRGS) – 5540309, Universiti Putra Malaysia, Universiti Kebangsaan Malaysia and Universiti Teknikal Malaysia Melaka. The work by Ioan Pop has been financially supported from the grant PN-III-P4-ID-PCE-2016-0036, UEFISCDI, Romania.

Conflict of Interest: The authors declare that there is no conflict of interest.

Citation

Khashi’ie, N.S., Arifin, N.M., Pop, I., Nazar, R., Hafidzuddin, E.H. and Wahi, N. (2020), "Non-axisymmetric Homann stagnation point flow and heat transfer past a stretching/shrinking sheet using hybrid nanofluid", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 30 No. 10, pp. 4583-4606. https://doi.org/10.1108/HFF-11-2019-0824

Publisher

:

Emerald Publishing Limited

Copyright © 2020, Emerald Publishing Limited

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