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

Md. Abul Kalam Azad; Md. Masidur Rahman; Md. Mamun Miah

doi:doi:10.11648/j.ajam.20160401.13

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

Md. Abul Kalam Azad, Md. Masidur Rahman, Md. Mamun Miah

Published in American Journal of Applied Mathematics (Volume 4, Issue 1)

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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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

Md. Abul Kalam Azad

Department of Applied Mathematics, University of Rajshahi, Rajshahi, Bangladesh
Md. Masidur Rahman

Department of Applied Mathematics, University of Rajshahi, Rajshahi, Bangladesh
Md. Mamun Miah

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

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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}
}

Copy | Download

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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