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Unsteady separated stagnation-point flow and heat transfer past a stretching/shrinking sheet in a copper-water nanofluid

Natalia C. Roşca (Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania)
Alin V. Roşca (Department of Statistics-Forecasts-Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania)
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: 19 June 2019

Issue publication date: 11 September 2019

Abstract

Purpose

The purpose of this paper is to theoretically investigate the unsteady separated stagnation-point flow and heat transfer past an impermeable stretching/shrinking sheet in a copper (Cu)-water nanofluid using the mathematical nanofluid model proposed by Tiwari and Das.

Design/methodology/approach

A similarity transformation is used to reduce the governing partial differential equations to a set of nonlinear ordinary (similarity) differential equations which are then solved numerically using the function bvp4c from Matlab for different values of the governing parameters.

Findings

It is found that the solution is unique for stretching case; however, multiple (dual) solutions exist for the shrinking case.

Originality/value

The authors believe that all numerical results are new and original, and have not been published elsewhere.

Keywords

Acknowledgements

The work on this paper was supported from the grant PN-III-P4-ID-PCE-2016-0036, UEFISCDI, Romania. The authors thank the very competent reviewers for their constructive comments which clearly enhanced the quality of the manuscript.

Citation

Roşca, N.C., Roşca, A.V. and Pop, I. (2019), "Unsteady separated stagnation-point flow and heat transfer past a stretching/shrinking sheet in a copper-water nanofluid", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 29 No. 8, pp. 2588-2605. https://doi.org/10.1108/HFF-09-2018-0527

Publisher

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Emerald Publishing Limited

Copyright © 2019, Emerald Publishing Limited