Transport Equation for the Joint Distribution Functions of Certain Variables in Convective Dusty Fluid Turbulent Flow in a Rotating System under Going a First Order Reaction

M. A. K. Azad; Mst. Mumtahinah; M. A. Bkar Pk

doi:doi:10.11648/j.ajam.20150301.15

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Transport Equation for the Joint Distribution Functions of Certain Variables in Convective Dusty Fluid Turbulent Flow in a Rotating System under Going a First Order Reaction

M. A. K. Azad, Mst. Mumtahinah, M. A. Bkar Pk

Published in American Journal of Applied Mathematics (Volume 3, Issue 1)

Received: 31 December 2014 Accepted: 18 January 2015 Published: 30 January 2015

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Abstract

In this paper, the joint distribution functions for simultaneous velocity, temperature, concentration fields in turbulent flow under going a first order reaction in a rotating system in presence of dust particles have been studied. The various properties of the constructed joint distribution functions such as, reduction property, separation property, coincidence and symmetric properties have been discussed. Lastly, the transport equations for the joint distribution function of velocity, temperature and concentration in convective turbulent flow under going a first order reaction in a rotating system in presence of dust particles have been derived.

Published in	American Journal of Applied Mathematics (Volume 3, Issue 1)
DOI	10.11648/j.ajam.20150301.15
Page(s)	21-30
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

Concentration, Dust Particles, Distribution Functions, Turbulent Flow, Rotating System, First Order Reaction

References

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APA Style

M. A. K. Azad, Mst. Mumtahinah, M. A. Bkar Pk. (2015). Transport Equation for the Joint Distribution Functions of Certain Variables in Convective Dusty Fluid Turbulent Flow in a Rotating System under Going a First Order Reaction. American Journal of Applied Mathematics, 3(1), 21-30. https://doi.org/10.11648/j.ajam.20150301.15

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ACS Style

M. A. K. Azad; Mst. Mumtahinah; M. A. Bkar Pk. Transport Equation for the Joint Distribution Functions of Certain Variables in Convective Dusty Fluid Turbulent Flow in a Rotating System under Going a First Order Reaction. Am. J. Appl. Math. 2015, 3(1), 21-30. doi: 10.11648/j.ajam.20150301.15

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AMA Style

M. A. K. Azad, Mst. Mumtahinah, M. A. Bkar Pk. Transport Equation for the Joint Distribution Functions of Certain Variables in Convective Dusty Fluid Turbulent Flow in a Rotating System under Going a First Order Reaction. Am J Appl Math. 2015;3(1):21-30. doi: 10.11648/j.ajam.20150301.15

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@article{10.11648/j.ajam.20150301.15,
  author = {M. A. K. Azad and Mst. Mumtahinah and M. A. Bkar Pk},
  title = {Transport Equation for the Joint Distribution Functions of Certain Variables in Convective Dusty Fluid Turbulent Flow in a Rotating System under Going a First Order Reaction},
  journal = {American Journal of Applied Mathematics},
  volume = {3},
  number = {1},
  pages = {21-30},
  doi = {10.11648/j.ajam.20150301.15},
  url = {https://doi.org/10.11648/j.ajam.20150301.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20150301.15},
  abstract = {In this paper, the joint distribution functions for simultaneous velocity, temperature, concentration fields in turbulent flow under going a first order reaction in a rotating system in presence of dust particles have been studied. The various properties of the constructed joint distribution functions such as, reduction property, separation property, coincidence and symmetric properties have been discussed. Lastly, the transport equations for the joint distribution function of velocity, temperature and concentration in convective turbulent flow under going a first order reaction in a rotating system in presence of dust particles have been derived.},
 year = {2015}
}

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TY  - JOUR
T1  - Transport Equation for the Joint Distribution Functions of Certain Variables in Convective Dusty Fluid Turbulent Flow in a Rotating System under Going a First Order Reaction
AU  - M. A. K. Azad
AU  - Mst. Mumtahinah
AU  - M. A. Bkar Pk
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DO  - 10.11648/j.ajam.20150301.15
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
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AB  - In this paper, the joint distribution functions for simultaneous velocity, temperature, concentration fields in turbulent flow under going a first order reaction in a rotating system in presence of dust particles have been studied. The various properties of the constructed joint distribution functions such as, reduction property, separation property, coincidence and symmetric properties have been discussed. Lastly, the transport equations for the joint distribution function of velocity, temperature and concentration in convective turbulent flow under going a first order reaction in a rotating system in presence of dust particles have been derived.
VL  - 3
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Author Information

M. A. K. Azad

Department of Applied Mathematics, University of Rajshahi, Rajshahi, Bangladesh
Mst. Mumtahinah

Department of Business Administration, Ibais University, Dhanmondi-16, Dhaka, Bangladesh
M. A. Bkar Pk

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

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APA Style

M. A. K. Azad, Mst. Mumtahinah, M. A. Bkar Pk. (2015). Transport Equation for the Joint Distribution Functions of Certain Variables in Convective Dusty Fluid Turbulent Flow in a Rotating System under Going a First Order Reaction. American Journal of Applied Mathematics, 3(1), 21-30. https://doi.org/10.11648/j.ajam.20150301.15

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ACS Style

M. A. K. Azad; Mst. Mumtahinah; M. A. Bkar Pk. Transport Equation for the Joint Distribution Functions of Certain Variables in Convective Dusty Fluid Turbulent Flow in a Rotating System under Going a First Order Reaction. Am. J. Appl. Math. 2015, 3(1), 21-30. doi: 10.11648/j.ajam.20150301.15

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AMA Style

M. A. K. Azad, Mst. Mumtahinah, M. A. Bkar Pk. Transport Equation for the Joint Distribution Functions of Certain Variables in Convective Dusty Fluid Turbulent Flow in a Rotating System under Going a First Order Reaction. Am J Appl Math. 2015;3(1):21-30. doi: 10.11648/j.ajam.20150301.15

Copy | Download

@article{10.11648/j.ajam.20150301.15,
  author = {M. A. K. Azad and Mst. Mumtahinah and M. A. Bkar Pk},
  title = {Transport Equation for the Joint Distribution Functions of Certain Variables in Convective Dusty Fluid Turbulent Flow in a Rotating System under Going a First Order Reaction},
  journal = {American Journal of Applied Mathematics},
  volume = {3},
  number = {1},
  pages = {21-30},
  doi = {10.11648/j.ajam.20150301.15},
  url = {https://doi.org/10.11648/j.ajam.20150301.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20150301.15},
  abstract = {In this paper, the joint distribution functions for simultaneous velocity, temperature, concentration fields in turbulent flow under going a first order reaction in a rotating system in presence of dust particles have been studied. The various properties of the constructed joint distribution functions such as, reduction property, separation property, coincidence and symmetric properties have been discussed. Lastly, the transport equations for the joint distribution function of velocity, temperature and concentration in convective turbulent flow under going a first order reaction in a rotating system in presence of dust particles have been derived.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - Transport Equation for the Joint Distribution Functions of Certain Variables in Convective Dusty Fluid Turbulent Flow in a Rotating System under Going a First Order Reaction
AU  - M. A. K. Azad
AU  - Mst. Mumtahinah
AU  - M. A. Bkar Pk
Y1  - 2015/01/30
PY  - 2015
N1  - https://doi.org/10.11648/j.ajam.20150301.15
DO  - 10.11648/j.ajam.20150301.15
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 21
EP  - 30
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20150301.15
AB  - In this paper, the joint distribution functions for simultaneous velocity, temperature, concentration fields in turbulent flow under going a first order reaction in a rotating system in presence of dust particles have been studied. The various properties of the constructed joint distribution functions such as, reduction property, separation property, coincidence and symmetric properties have been discussed. Lastly, the transport equations for the joint distribution function of velocity, temperature and concentration in convective turbulent flow under going a first order reaction in a rotating system in presence of dust particles have been derived.
VL  - 3
IS  - 1
ER  -

Copy | Download