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     Research Journal of Applied Sciences, Engineering and Technology


Homogeneous Turbulence in a First-order Reactant for the Case of Multi-point and Multi-time Prior to the Final Period of Decay in a Rotating System

M.A. Bkar PK, M.S. Alam Sarker and M.A.K. Azad
Department of Applied Mathematics, University of Rajshahi-6205, Bangladesh
Research Journal of Applied Sciences, Engineering and Technology  2013  10:1749-1756
http://dx.doi.org/10.19026/rjaset.6.3898  |  © The Author(s) 2013
Received: October 17, 2012  |  Accepted: December 10, 2012  |  Published: July 20, 2013

Abstract

Using Deissler’s approach, the decay for the concentration of a dilute contaminant undergoing a first- order chemical reaction in homogeneous turbulence at times prior to the final period of decay in a rotating system for the case of multi-point and multi-time is studied. Here two and three point correlations between fluctuating quantities have been considered and the quadruple correlations are ignored in comparison to the second and third order correlations. Taking Fourier transform the correlation equations are converted to spectral form. Finally, integrating the energy spectrum over all wave numbers we obtained the decay law for the concentration fluctuations in a homogeneous turbulence prior to the final period in a rotating system for the case of multi-point and multi-time.

Keywords:

Deissler, dust particle, first order reactant, Navier-stock, turbulent flow,


References


Competing interests

The authors have no competing interests.

Open Access Policy

This article is 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, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Copyright

The authors have no competing interests.

ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
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