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International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Online from: 1991
Subject Area: Mechanical & Materials Engineering
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Application of homotopy perturbation and numerical methods to the circular porous slider
| Title: | Application of homotopy perturbation and numerical methods to the circular porous slider |
|---|---|
| Author(s): | M. Madani, (Chemical Engineering Department, Amirkabir University of Technology, Tehran, Iran), Yasir Khan, (Department of Mathematics, Zhejiang University, Hangzhou, China), Gh. Mahmodi, (Department of Chemical Engineering, Razi University, Kermanshah, Iran), Naeem Faraz, (Modern Textile Institute, Donghua University, Shanghai, China), Ahmet Yildirim, (Department of Mathematics, Ege University, Bornova Izmir, Turkey), B. Nasernejad, (Chemical Engineering Department, Amirkabir University of Technology, Tehran, Iran) |
| Citation: | M. Madani, Yasir Khan, Gh. Mahmodi, Naeem Faraz, Ahmet Yildirim, B. Nasernejad, (2012) "Application of homotopy perturbation and numerical methods to the circular porous slider", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 22 Iss: 6, pp.705 - 717 |
| Keywords: | Circular porous slider, Finite difference methods, Fourth-order Runge-Kutta, Homotopy perturbation method (HPM), Numerical analysis, Reynolds number, Similarity transformation |
| Article type: | Research paper |
| DOI: | 10.1108/09615531211244844 (Permanent URL) |
| Publisher: | Emerald Group Publishing Limited |
| Acknowledgements: | The authors wish to express their cordial thanks to the anonymous referees for their valuable suggestions for the improvement of the quality of this work. Second author is highly grateful to Dr Jeffrey Steven King for his guidance and cooperation. |
| Abstract: | Purpose – The purpose of this paper is to present the problem of three-dimensional flow of a fluid of constant density forced through the porous bottom of a circular porous slider moving laterally on a flat plate. Design/methodology/approach – The transformed nonlinear ordinary differential equations are solved via the homotopy perturbation method (HPM) for small as well as moderately large Reynolds numbers. The convergence of the obtained HPM solution is carefully analyzed. Finally, the validity of results is verified by comparing with numerical methods and existing numerical results. Findings – Close agreement of the two sets of results is observed, thus demonstrating the accuracy of the HPM approach for the particular problem considered. Originality/value – Interesting conclusions which can be drawn from this study are that HPM is very effective and simple compared to the existing solution method, able to solve problems without using Padé approximants and can therefore be considered as a clear advantage over the N.M. Bujurke and Phan-Thien techniques. |
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