In this study the temperature fluctuations in dusty fluid homogeneous turbulence prior to the final period is considered by using the four point correlation equations for fluctuating quantities in the flow field. The correlation equations are converted into spectral form by their Fourier-transform. The set of equations are made to determinate by neglecting the quintuple correlations in comparison to the fourth- order correlation terms. Finally by integration of the energy spectrum over all wave numbers and have obtained the energy equation of decaying of temperature fluctuations in dusty fluid homogeneous turbulence for four point correlations. The obtained results have been shown by graphically at different Prandtl no. and at the different state of temperature. It is also determined the values of the constant appear at the energy equation by using the values of the parameters which exist in it for different fluids. It has also been shown the effects of the parameters by graphically.
| Published in | American Journal of Applied Mathematics (Volume 5, Issue 5) |
| DOI | 10.11648/j.ajam.20170505.12 |
| Page(s) | 132-144 |
| 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), 2017. Published by Science Publishing Group |
Four-Point Correlation, Decay, Temperature Fluctuations, Final Period, Dust Particles, Prandtl No
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APA Style
Abdul Malek, Md. Abul Kalam Azad, Md. Abu Bkar Pk. (2017). Temperature Fluctuations in Dusty Fluid Homogeneous Turbulence at Four Point Correlations. American Journal of Applied Mathematics, 5(5), 132-144. https://doi.org/10.11648/j.ajam.20170505.12
ACS Style
Abdul Malek; Md. Abul Kalam Azad; Md. Abu Bkar Pk. Temperature Fluctuations in Dusty Fluid Homogeneous Turbulence at Four Point Correlations. Am. J. Appl. Math. 2017, 5(5), 132-144. doi: 10.11648/j.ajam.20170505.12
AMA Style
Abdul Malek, Md. Abul Kalam Azad, Md. Abu Bkar Pk. Temperature Fluctuations in Dusty Fluid Homogeneous Turbulence at Four Point Correlations. Am J Appl Math. 2017;5(5):132-144. doi: 10.11648/j.ajam.20170505.12
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Download@article{10.11648/j.ajam.20170505.12,
author = {Abdul Malek and Md. Abul Kalam Azad and Md. Abu Bkar Pk},
title = {Temperature Fluctuations in Dusty Fluid Homogeneous Turbulence at Four Point Correlations},
journal = {American Journal of Applied Mathematics},
volume = {5},
number = {5},
pages = {132-144},
doi = {10.11648/j.ajam.20170505.12},
url = {https://doi.org/10.11648/j.ajam.20170505.12},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20170505.12},
abstract = {In this study the temperature fluctuations in dusty fluid homogeneous turbulence prior to the final period is considered by using the four point correlation equations for fluctuating quantities in the flow field. The correlation equations are converted into spectral form by their Fourier-transform. The set of equations are made to determinate by neglecting the quintuple correlations in comparison to the fourth- order correlation terms. Finally by integration of the energy spectrum over all wave numbers and have obtained the energy equation of decaying of temperature fluctuations in dusty fluid homogeneous turbulence for four point correlations. The obtained results have been shown by graphically at different Prandtl no. and at the different state of temperature. It is also determined the values of the constant appear at the energy equation by using the values of the parameters which exist in it for different fluids. It has also been shown the effects of the parameters by graphically.},
year = {2017}
}
TY - JOUR T1 - Temperature Fluctuations in Dusty Fluid Homogeneous Turbulence at Four Point Correlations AU - Abdul Malek AU - Md. Abul Kalam Azad AU - Md. Abu Bkar Pk Y1 - 2017/09/30 PY - 2017 N1 - https://doi.org/10.11648/j.ajam.20170505.12 DO - 10.11648/j.ajam.20170505.12 T2 - American Journal of Applied Mathematics JF - American Journal of Applied Mathematics JO - American Journal of Applied Mathematics SP - 132 EP - 144 PB - Science Publishing Group SN - 2330-006X UR - https://doi.org/10.11648/j.ajam.20170505.12 AB - In this study the temperature fluctuations in dusty fluid homogeneous turbulence prior to the final period is considered by using the four point correlation equations for fluctuating quantities in the flow field. The correlation equations are converted into spectral form by their Fourier-transform. The set of equations are made to determinate by neglecting the quintuple correlations in comparison to the fourth- order correlation terms. Finally by integration of the energy spectrum over all wave numbers and have obtained the energy equation of decaying of temperature fluctuations in dusty fluid homogeneous turbulence for four point correlations. The obtained results have been shown by graphically at different Prandtl no. and at the different state of temperature. It is also determined the values of the constant appear at the energy equation by using the values of the parameters which exist in it for different fluids. It has also been shown the effects of the parameters by graphically. VL - 5 IS - 5 ER -
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