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An efficient method to obtain semi-analytical solutions of the nano boundary layers over stretching surfaces

Sima Samadpoor (Department of Mathematics, Buin Zahra Branch, Islamic Azad University (IAU), Buin Zahra, Iran)
Hadi Roohani Ghehsareh (Department of Mathematics, Imam Khomeini International University, Qazvin, Iran)
Saeid Abbasbandy (Department of Mathematics, Imam Khomeini International University, Qazvin, Iran)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 16 September 2013

111

Abstract

Purpose

The purpose of this paper is to obtain semi-analytical solutions of similarity solutions for the nano boundary layer flows with Navier boundary condition. The similarity solutions of viscous flows over a two-dimensional stretching surface and an axisymmetric stretching surface are investigated.

Design/methodology/approach

In this work, the governing partial differential equations are transformed to a nonlinear ordinary differential equation by using some proper similarity transformations. Then an efficient semi-analytical method, the Laplace Adomian decomposition method (LADM) is applied to obtain semi-analytical solutions of the similarity solutions in both of viscous flows over a two-dimensional stretching surface and an axisymmetric stretching surface. To improve the accuracy and enlarges the convergence domain of the obtained results by the LADM, the study has combined it with Padé approximation.

Findings

Accuracy and efficiency of the presented method are illustrated and denoted through the tables and figures. Also the effects of the suction parameter λ and slip parameter K on the fluid velocity and on the tangential stress are investigated.

Originality/value

The similarity solutions of the governing partial differential equation are obtained analytically by using an efficient developed method, namely the Laplace Adomian decomposition-Padé method. The analytic solutions of nonlinear ordinary differential equation are constructed for both of viscous flows over a two-dimensional stretching surface and an axisymmetric stretching surface.

Keywords

Acknowledgements

The authors are very grateful to the reviewers for carefully reading the paper and for their constructive comments and suggestions which have improved the paper. The research was supported by a grant from Buin Zahra Branch, Islamic Azad University.

Citation

Samadpoor, S., Roohani Ghehsareh, H. and Abbasbandy, S. (2013), "An efficient method to obtain semi-analytical solutions of the nano boundary layers over stretching surfaces", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 23 No. 7, pp. 1179-1191. https://doi.org/10.1108/HFF-11-2011-0253

Publisher

:

Emerald Group Publishing Limited

Copyright © 2013, Emerald Group Publishing Limited

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