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Volume 3, Issue 4, August 2014, Page: 78-86
First-Order Reactant of Homogeneous Dusty Fluid Turbulence Prior to the Final Period of Decay in a Rotating System for the Case of Multi-Point and Multi-Time at Four-Point Correlation
M. Abu Bkar Pk, Department of Applied Mathematics, University of Rajshahi, Rajshahi-6205, Bangladesh
M. Monuar Hossain, Department of Civil & Environmental Engineering, Uttara University, Dhaka-1230, Bangladesh
M. Abul Kalam Azad, Department of Applied Mathematics, University of Rajshahi, Rajshahi-6205, Bangladesh
Received: Jul. 20, 2014;       Accepted: Aug. 3, 2014;       Published: Aug. 10, 2014
DOI: 10.11648/j.pamj.20140304.11      View  3071      Downloads  181
Abstract
In this paper following Deissler’s approach and taking Fourier transform, the decay for the concentration of a dilute contaminant undergoing a first-order chemical reaction in dusty fluid homogeneous turbulence at times prior to the ultimate phase in a rotating system for the case of multi-point and multi-time at four point correlation 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 of first order reactant in homogeneous dusty fluid turbulence prior to the final period of decay in a rotating system for the case of multi-point and multi-time at four-point correlation.
Keywords
Correlation Function, Deissler’s Method, Dusty Fluid Turbulence, First Order Chemical Reactant, Fourier-Transformation, Multi-point and multi-time, Navier-Stokes Equation, Rotating System
To cite this article
M. Abu Bkar Pk, M. Monuar Hossain, M. Abul Kalam Azad, First-Order Reactant of Homogeneous Dusty Fluid Turbulence Prior to the Final Period of Decay in a Rotating System for the Case of Multi-Point and Multi-Time at Four-Point Correlation, Pure and Applied Mathematics Journal. Vol. 3, No. 4, 2014, pp. 78-86. doi: 10.11648/j.pamj.20140304.11
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