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Exact analytical solution of the MHD Jeffery-Hamel flow problem

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Abstract

This article shows that the well known nonlinear boundary value problem namely MHD Jeffery-Hamel flow problem, investigated in recent years by many numerical and semi-analytical approximative methods, is exactly solvable and furthermore, gives analytical exact solution in the implicit form for further physical interpretation.

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Acknowledgements

The respected anonymous referees have carefully reviewed this paper. As a result of their careful analysis, our paper has been improved. The authors would like to express their thankfulness to them for helpful constructive comments.

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Authors and Affiliations

  1. Department of Mathematics, Imam Khomeini International University, Qazvin, 34149-16818, Iran

    S. Abbasbandy

  2. Young Researchers Club, Qazvin Branch, Islamic Azad University, Qazvin, Iran

    E. Shivanian

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  1. S. Abbasbandy
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  2. E. Shivanian
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Correspondence to S. Abbasbandy.

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Abbasbandy, S., Shivanian, E. Exact analytical solution of the MHD Jeffery-Hamel flow problem. Meccanica 47, 1379–1389 (2012). https://doi.org/10.1007/s11012-011-9520-3

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  • DOI: https://doi.org/10.1007/s11012-011-9520-3

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