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Numerical study of magnetohydrodynamics generalized Couette flow of Eyring-Powell fluid with heat transfer and slip condition

R Ellahi (Department of Mathematics and Statistics, IIUI, Islamabad, Pakistan AND Department of Mechanical Engineering, University of California Riverside, Riverside, California, United States.)
E Shivanian (Department of Mathematics, Imam Khomeini International University, Ghazvin, Iran.)
S Abbasbandy (Department of Mathematics, Imam Khomeini International University, Ghazvin, Iran.)
T. Hayat (Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan AND Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia.)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 6 June 2016

801

Abstract

Purpose

The purpose of this paper is to study the generalized Couette flow of Eyring-Powell fluid. The paper aims to discuss diverse issues befell for the heat transfer, magnetohydrodynamics and slip.

Design/methodology/approach

A hybrid technique based on pseudo-spectral collocation is applied for the solution of nonlinear resulting system.

Findings

Viscous fluid results which are yet not available can be taken as a limiting case of presented problem. The results for the case of Hartmann flow can be obtained as a special case when plate velocity is zero, i.e. pressure gradient induced flow. The results for the zero fluid slip and no thermal slip also become special cases of this work, and the results can be recovered by setting, and to zero. These solutions are valid not only for small but also for large values of all emerging parameters.

Originality/value

This model is investigated for the first time, as the authors know.

Keywords

Citation

Ellahi, R., Shivanian, E., Abbasbandy, S. and Hayat, T. (2016), "Numerical study of magnetohydrodynamics generalized Couette flow of Eyring-Powell fluid with heat transfer and slip condition", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 26 No. 5, pp. 1433-1445. https://doi.org/10.1108/HFF-04-2015-0131

Publisher

:

Emerald Group Publishing Limited

Copyright © 2016, Emerald Group Publishing Limited

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