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Statistical Theory of Four-Point Distribution Functions in MHD Turbulent Flow

Received: 12 December 2015     Accepted: 29 December 2015     Published: 21 January 2016
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Abstract

In this paper, the four-point distribution functions for simultaneous velocity, magnetic, temperature and concentration fields in MHD turbulent flow have been studied. It is tried to derive the transport equation for four-point distribution function in MHD turbulent flow. The obtained equation is compared with the first equation of BBGKY hierarchy of equations and the closure difficulty is to be removed as in the case of ordinary turbulence.

Published in American Journal of Applied Mathematics (Volume 4, Issue 1)
DOI 10.11648/j.ajam.20160401.13
Page(s) 20-46
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2016. Published by Science Publishing Group

Keywords

Magnetic Temperature, Concentration, Four-Point Distribution Functions, MHD Turbulent Flow

References
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Cite This Article
  • APA Style

    Md. Abul Kalam Azad, Md. Masidur Rahman, Md. Mamun Miah. (2016). Statistical Theory of Four-Point Distribution Functions in MHD Turbulent Flow. American Journal of Applied Mathematics, 4(1), 20-46. https://doi.org/10.11648/j.ajam.20160401.13

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    ACS Style

    Md. Abul Kalam Azad; Md. Masidur Rahman; Md. Mamun Miah. Statistical Theory of Four-Point Distribution Functions in MHD Turbulent Flow. Am. J. Appl. Math. 2016, 4(1), 20-46. doi: 10.11648/j.ajam.20160401.13

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    AMA Style

    Md. Abul Kalam Azad, Md. Masidur Rahman, Md. Mamun Miah. Statistical Theory of Four-Point Distribution Functions in MHD Turbulent Flow. Am J Appl Math. 2016;4(1):20-46. doi: 10.11648/j.ajam.20160401.13

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  • @article{10.11648/j.ajam.20160401.13,
      author = {Md. Abul Kalam Azad and Md. Masidur Rahman and Md. Mamun Miah},
      title = {Statistical Theory of Four-Point Distribution Functions in MHD Turbulent Flow},
      journal = {American Journal of Applied Mathematics},
      volume = {4},
      number = {1},
      pages = {20-46},
      doi = {10.11648/j.ajam.20160401.13},
      url = {https://doi.org/10.11648/j.ajam.20160401.13},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20160401.13},
      abstract = {In this paper, the four-point distribution functions for simultaneous velocity, magnetic, temperature and concentration fields in MHD turbulent flow have been studied. It is tried to derive the transport equation for four-point distribution function in MHD turbulent flow. The obtained equation is compared with the first equation of BBGKY hierarchy of equations and the closure difficulty is to be removed as in the case of ordinary turbulence.},
     year = {2016}
    }
    

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  • TY  - JOUR
    T1  - Statistical Theory of Four-Point Distribution Functions in MHD Turbulent Flow
    AU  - Md. Abul Kalam Azad
    AU  - Md. Masidur Rahman
    AU  - Md. Mamun Miah
    Y1  - 2016/01/21
    PY  - 2016
    N1  - https://doi.org/10.11648/j.ajam.20160401.13
    DO  - 10.11648/j.ajam.20160401.13
    T2  - American Journal of Applied Mathematics
    JF  - American Journal of Applied Mathematics
    JO  - American Journal of Applied Mathematics
    SP  - 20
    EP  - 46
    PB  - Science Publishing Group
    SN  - 2330-006X
    UR  - https://doi.org/10.11648/j.ajam.20160401.13
    AB  - In this paper, the four-point distribution functions for simultaneous velocity, magnetic, temperature and concentration fields in MHD turbulent flow have been studied. It is tried to derive the transport equation for four-point distribution function in MHD turbulent flow. The obtained equation is compared with the first equation of BBGKY hierarchy of equations and the closure difficulty is to be removed as in the case of ordinary turbulence.
    VL  - 4
    IS  - 1
    ER  - 

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Author Information
  • Department of Applied Mathematics, University of Rajshahi, Rajshahi, Bangladesh

  • Department of Applied Mathematics, University of Rajshahi, Rajshahi, Bangladesh

  • Department of Applied Mathematics, University of Rajshahi, Rajshahi, Bangladesh

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