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,
M. Monuar Hossain,
M. Abul Kalam Azad
Issue:
Volume 3, Issue 4, August 2014
Pages:
78-86
Received:
20 July 2014
Accepted:
3 August 2014
Published:
10 August 2014
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.
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....
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