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Dufour, Soret and radiation effects with magnetic dipole on Powell-Eyring fluid flow over a stretching sheet

K. Vafai (Department of Mechanical Engineering, University of California Riverside, Riverside, California, USA)
Ambreen A. Khan (Department of Mathematics and Statistics, International Islamic University, Kuala Lumpur, Malaysia)
G. Fatima (Department of Mathematics and Statistics, International Islamic University, Kuala Lumpur, Malaysia)
Sadiq M. Sait (Center for Communications and IT Research, Research Institute, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia)
R. Ellahi (Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan and Center for Modeling and Computer Simulation, Research Institute, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 22 July 2020

Issue publication date: 19 March 2021

137

Abstract

Purpose

This paper aims to investigate the effect of Powell–Eyring fluid induced by a stretched sheet. Heat and mass transfer under the influence of magnetic dipole over a stretching sheet are taken into account.

Design/methodology/approach

Nonlinear coupled governing equations are solved using the optimal homotopy asymptotic technique, and a computer software package BVPh 2.0 is used for numerical computations.

Findings

Impact of significant quantities is graphically examined. It is seen that the heat transfer deceases for higher values of viscous dissipation parameter, radiation parameter, Dufour number, whereas it increases for bigger values of Prandtl number. The numerical results have been validated through comparison with existing literature as a special case of proposed model and perceived that the Soret number has reining role to increase the rate of heat transfer.

Originality/value

To the best of the authors’ knowledge, this study is reported for the first time.

Keywords

Acknowledgements

Prof Sadiq M. Sait acknowledges King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia, for support.

Citation

Vafai, K., Khan, A.A., Fatima, G., Sait, S.M. and Ellahi, R. (2021), "Dufour, Soret and radiation effects with magnetic dipole on Powell-Eyring fluid flow over a stretching sheet", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 31 No. 4, pp. 1085-1103. https://doi.org/10.1108/HFF-06-2020-0328

Publisher

:

Emerald Publishing Limited

Copyright © 2020, Emerald Publishing Limited

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