Effect of Chemical Reaction on Statistical Theory of Dusty Fluid MHD Turbulent Flow for Certain Variables at Three- Point Distribution Functions

M. Abul Kalam Azad; M. Abu Bkar Pk; Abdul Malek

doi:doi:10.11648/j.sjams.20150303.13

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Effect of Chemical Reaction on Statistical Theory of Dusty Fluid MHD Turbulent Flow for Certain Variables at Three- Point Distribution Functions

M. Abul Kalam Azad, M. Abu Bkar Pk, Abdul Malek

Published in Science Journal of Applied Mathematics and Statistics (Volume 3, Issue 3)

Received: 24 March 2015 Accepted: 18 April 2015 Published: 4 May 2015

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Abstract

In this paper, an attempt is made to study the three-point distribution functions in dusty fluid MHD turbulent flow for simultaneous velocity, magnetic temperature and concentration fields in a first order chemical reaction. It has been discussed the various properties of constructed distribution functions. From beginning to end out the study, the transport equation for three-point distribution functions in dusty fluid MHD turbulent flow undergoing a first order chemical reaction has been obtained. 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	Science Journal of Applied Mathematics and Statistics (Volume 3, Issue 3)
DOI	10.11648/j.sjams.20150303.13
Page(s)	75-98
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), 2024. Published by Science Publishing Group

Keywords

First Order Chemical Reaction, Dusty Fluid, MHD Turbulent Flow, Three-Point Distribution Functions, Magnetic, Temperature, Concentration

References

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M. Abul Kalam Azad, M. Abu Bkar Pk, Abdul Malek. (2015). Effect of Chemical Reaction on Statistical Theory of Dusty Fluid MHD Turbulent Flow for Certain Variables at Three- Point Distribution Functions. Science Journal of Applied Mathematics and Statistics, 3(3), 75-98. https://doi.org/10.11648/j.sjams.20150303.13

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ACS Style

M. Abul Kalam Azad; M. Abu Bkar Pk; Abdul Malek. Effect of Chemical Reaction on Statistical Theory of Dusty Fluid MHD Turbulent Flow for Certain Variables at Three- Point Distribution Functions. Sci. J. Appl. Math. Stat. 2015, 3(3), 75-98. doi: 10.11648/j.sjams.20150303.13

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AMA Style

M. Abul Kalam Azad, M. Abu Bkar Pk, Abdul Malek. Effect of Chemical Reaction on Statistical Theory of Dusty Fluid MHD Turbulent Flow for Certain Variables at Three- Point Distribution Functions. Sci J Appl Math Stat. 2015;3(3):75-98. doi: 10.11648/j.sjams.20150303.13

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@article{10.11648/j.sjams.20150303.13,
  author = {M. Abul Kalam Azad and M. Abu Bkar Pk and Abdul Malek},
  title = {Effect of Chemical Reaction on Statistical Theory of Dusty Fluid MHD Turbulent Flow for Certain Variables at Three- Point Distribution Functions},
  journal = {Science Journal of Applied Mathematics and Statistics},
  volume = {3},
  number = {3},
  pages = {75-98},
  doi = {10.11648/j.sjams.20150303.13},
  url = {https://doi.org/10.11648/j.sjams.20150303.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sjams.20150303.13},
  abstract = {In this paper, an attempt is made to study the three-point distribution functions in dusty fluid MHD turbulent flow for simultaneous velocity, magnetic temperature and concentration fields in a first order chemical reaction. It has been discussed the various properties of constructed distribution functions. From beginning to end out the study, the transport equation for three-point distribution functions in dusty fluid MHD turbulent flow undergoing a first order chemical reaction has been obtained. 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 = {2015}
}

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TY  - JOUR
T1  - Effect of Chemical Reaction on Statistical Theory of Dusty Fluid MHD Turbulent Flow for Certain Variables at Three- Point Distribution Functions
AU  - M. Abul Kalam Azad
AU  - M. Abu Bkar Pk
AU  - Abdul Malek
Y1  - 2015/05/04
PY  - 2015
N1  - https://doi.org/10.11648/j.sjams.20150303.13
DO  - 10.11648/j.sjams.20150303.13
T2  - Science Journal of Applied Mathematics and Statistics
JF  - Science Journal of Applied Mathematics and Statistics
JO  - Science Journal of Applied Mathematics and Statistics
SP  - 75
EP  - 98
PB  - Science Publishing Group
SN  - 2376-9513
UR  - https://doi.org/10.11648/j.sjams.20150303.13
AB  - In this paper, an attempt is made to study the three-point distribution functions in dusty fluid MHD turbulent flow for simultaneous velocity, magnetic temperature and concentration fields in a first order chemical reaction. It has been discussed the various properties of constructed distribution functions. From beginning to end out the study, the transport equation for three-point distribution functions in dusty fluid MHD turbulent flow undergoing a first order chemical reaction has been obtained. 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  - 3
IS  - 3
ER  -

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Author Information

M. Abul Kalam Azad

Department of Applied Mathematics, University of Rajshahi, Rajshahi, Bangladesh
M. Abu Bkar Pk

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

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

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APA Style

M. Abul Kalam Azad, M. Abu Bkar Pk, Abdul Malek. (2015). Effect of Chemical Reaction on Statistical Theory of Dusty Fluid MHD Turbulent Flow for Certain Variables at Three- Point Distribution Functions. Science Journal of Applied Mathematics and Statistics, 3(3), 75-98. https://doi.org/10.11648/j.sjams.20150303.13

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ACS Style

M. Abul Kalam Azad; M. Abu Bkar Pk; Abdul Malek. Effect of Chemical Reaction on Statistical Theory of Dusty Fluid MHD Turbulent Flow for Certain Variables at Three- Point Distribution Functions. Sci. J. Appl. Math. Stat. 2015, 3(3), 75-98. doi: 10.11648/j.sjams.20150303.13

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AMA Style

M. Abul Kalam Azad, M. Abu Bkar Pk, Abdul Malek. Effect of Chemical Reaction on Statistical Theory of Dusty Fluid MHD Turbulent Flow for Certain Variables at Three- Point Distribution Functions. Sci J Appl Math Stat. 2015;3(3):75-98. doi: 10.11648/j.sjams.20150303.13

Copy | Download

@article{10.11648/j.sjams.20150303.13,
  author = {M. Abul Kalam Azad and M. Abu Bkar Pk and Abdul Malek},
  title = {Effect of Chemical Reaction on Statistical Theory of Dusty Fluid MHD Turbulent Flow for Certain Variables at Three- Point Distribution Functions},
  journal = {Science Journal of Applied Mathematics and Statistics},
  volume = {3},
  number = {3},
  pages = {75-98},
  doi = {10.11648/j.sjams.20150303.13},
  url = {https://doi.org/10.11648/j.sjams.20150303.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sjams.20150303.13},
  abstract = {In this paper, an attempt is made to study the three-point distribution functions in dusty fluid MHD turbulent flow for simultaneous velocity, magnetic temperature and concentration fields in a first order chemical reaction. It has been discussed the various properties of constructed distribution functions. From beginning to end out the study, the transport equation for three-point distribution functions in dusty fluid MHD turbulent flow undergoing a first order chemical reaction has been obtained. 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 = {2015}
}

Copy | Download

TY  - JOUR
T1  - Effect of Chemical Reaction on Statistical Theory of Dusty Fluid MHD Turbulent Flow for Certain Variables at Three- Point Distribution Functions
AU  - M. Abul Kalam Azad
AU  - M. Abu Bkar Pk
AU  - Abdul Malek
Y1  - 2015/05/04
PY  - 2015
N1  - https://doi.org/10.11648/j.sjams.20150303.13
DO  - 10.11648/j.sjams.20150303.13
T2  - Science Journal of Applied Mathematics and Statistics
JF  - Science Journal of Applied Mathematics and Statistics
JO  - Science Journal of Applied Mathematics and Statistics
SP  - 75
EP  - 98
PB  - Science Publishing Group
SN  - 2376-9513
UR  - https://doi.org/10.11648/j.sjams.20150303.13
AB  - In this paper, an attempt is made to study the three-point distribution functions in dusty fluid MHD turbulent flow for simultaneous velocity, magnetic temperature and concentration fields in a first order chemical reaction. It has been discussed the various properties of constructed distribution functions. From beginning to end out the study, the transport equation for three-point distribution functions in dusty fluid MHD turbulent flow undergoing a first order chemical reaction has been obtained. 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  - 3
IS  - 3
ER  -

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