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Influence of temperature and magnetic field on the oblique stagnation-point flow for a nanofluid past a vertical stretching/shrinking sheet

Alessandra Borrelli (Matematica e Informatica, Universita degli Studi di Ferrara, Ferrara, Italy)
Giulia Giantesio (Dipartimento di Matematica e Fisica, Universita Cattolica del Sacro Cuore, Milan, Italy)
Maria Cristina Patria (Matematica e Informatica, Universita degli Studi di Ferrara, Ferrara, Italy)
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: 1 October 2018

Issue publication date: 30 October 2018

71

Abstract

Purpose

This paper aims to consider the influence of the temperature and of an external magnetic field on the steady oblique stagnation-point flow for a Boussinesquian nanofluid past a stretching or shrinking sheet.

Design/methodology/approach

The flow is reduced through similarity transformations to an ordinary boundary value problem, which is solved numerically in MATLAB using the bvp4c function. The behavior of the solution is discussed physically, and some analytical considerations concerning existence of the solution and the occurrence of dual solutions are drawn.

Findings

The study of the influence of an external magnetic field on the oblique stagnation-point flow of a Buongiorno's Boussinesquian nanofluid is carried out. The fluid clashes on a vertical stretching or shrinking sheet. Dual solutions appear for suitable values of the parameters.

Originality/value

The present results are new and original.

Keywords

Acknowledgements

N.C. Rosca, A.V. Rosca and I. Pop would like to acknowledge the financial support received from the grant PN-III-P4-ID-PCE-2016-0036, UEFISCDI of Romanian Ministry of Sciences; while the work of A. Borrelli, G. Giantesio and M.C. Patria has been partially supported by National Group of Mathematical Physics (GNFM-INdAM). The authors wish to thank to the very competent reviewers for the very good comments and suggestions.

Citation

Borrelli, A., Giantesio, G., Patria, M.C., Roşca, N.C., Roşca, A.V. and Pop, I. (2018), "Influence of temperature and magnetic field on the oblique stagnation-point flow for a nanofluid past a vertical stretching/shrinking sheet", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 28 No. 12, pp. 2874-2894. https://doi.org/10.1108/HFF-12-2017-0497

Publisher

:

Emerald Publishing Limited

Copyright © 2018, Emerald Publishing Limited

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