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Numerical and analytical solutions for Falkner-Skan flow of MHD Oldroyd-B fluid

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, Jaddah, Saudi Arabia)
A. Alsaedi (Department of Mathematics, King Abdulaziz University, Jaddah, Saudi Arabia)
M.M. Rashidi (Mechanical Engineering Department, Bu-Ali Sina University, Hamedan, Iran)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 25 February 2014

618

Abstract

Purpose

In this paper, analysis is presented to investigate the Falkner-Skan flow of magnetohydrodynamic (MHD) Oldroyd-B fluid. The paper aims to discuss these issues.

Design/methodology/approach

In this paper, the authors used two methods: homotopy analysis method and numerical Keller-box method.

Findings

It is observed that skin friction coefficient in Oldroyd-B fluid is larger when compared with viscous fluid. Further, the relaxation and retardation times have opposite effects on the velocity components.

Practical implications

A comparative study between the series and numerical solutions for the skin friction is shown in the paper. The results indicated that both solutions are in well agreement.

Originality/value

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

Keywords

Acknowledgements

The authors are grateful to the anonymous referees for their comments that substantially improved the quality of this paper. This work is supported by the Imam Khomeini International University of Iran, under the grant 751166-91 (first author).

Citation

Abbasbandy, S., Hayat, T., Alsaedi, A. and Rashidi, M.M. (2014), "Numerical and analytical solutions for Falkner-Skan flow of MHD Oldroyd-B fluid", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 24 No. 2, pp. 390-401. https://doi.org/10.1108/HFF-05-2012-0096

Publisher

:

Emerald Group Publishing Limited

Copyright © 2014, Emerald Group Publishing Limited

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