Numerical and analytical solutions for Falkner-Skan flow of MHD Oldroyd-B fluid
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 25 February 2014
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