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Axisymmetric flow of hybrid nanofluid due to a permeable non-linearly stretching/shrinking sheet with radiation effect

Natalia C. Roşca (Department of Mathematics, Faculty of Mathematics and Computer Science, Babeş-Bolyai University, Cluj-Napoca, Romania)
Alin V. Roşca (Department of Statistics-Forecasts-Mathematics, Faculty of Economics and Business Administration, Babeş-Bolyai University, Cluj-Napoca, Romania)
Ioan Pop (Department of Mathematics, Faculty of Mathematics and Computer Science, Babeş-Bolyai University, Cluj Napoca, Romania)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 23 November 2020

Issue publication date: 6 July 2021

134

Abstract

Purpose

This paper aims to report theoretical and numerical results for the problem of laminar axisymmetric flow of hybrid nanofluid over a permeable non-linearly stretching/shrinking sheet with radiation effect.

Design/methodology/approach

The numerical solutions of the arising boundary value problem are obtained using the function bvp4c from MATLAB for different values of the governing parameters.

Findings

It is found that the solutions of the ordinary (similarity) differential equations have two branches, upper and lower branch solutions, in a certain range of the stretching/shrinking and suction parameters. To establish which of these solutions are stable and which are not, a stability analysis has been performed.

Originality/value

To the best of the authors’ knowledge, present results are original and new for the study of fluid flow and heat transfer over a stretching/shrinking surface, as they successfully extend the problem considered by Mustafa et al. (2015) to the case of hybrid nanofluids.

Keywords

Acknowledgements

The authors warmly wish to thank the very competent referees for the valuable comments and suggestions.

Citation

Roşca, N.C., Roşca, A.V. and Pop, I. (2021), "Axisymmetric flow of hybrid nanofluid due to a permeable non-linearly stretching/shrinking sheet with radiation effect", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 31 No. 7, pp. 2330-2346. https://doi.org/10.1108/HFF-09-2020-0574

Publisher

:

Emerald Publishing Limited

Copyright © 2020, Emerald Publishing Limited

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