Volume 3, Issue 4, July 2014, Page: 81-89
Homogeneous Fluid Turbulence before the Final Period of Decay for Four-Point Correlation in a Rotating System for First-Order Reactant
M. Monuar Hossain, Department of Civil & Environmental Engineering, Uttra University, Dhaka-1230, Bangladesh
M. Abu Bkar Pk, Department of Applied Mathematics, University of Rajshahi, Rajshahi-6205, Bangladesh
M. S. Alam Sarker, Department of Applied Mathematics, University of Rajshahi, Rajshahi-6205, Bangladesh
Received: Jun. 6, 2014;       Accepted: Jun. 27, 2014;       Published: Jun. 30, 2014
DOI: 10.11648/j.ajtas.20140304.11      View  2728      Downloads  101
Abstract
Following Deissler’s approach, the decay in homogeneous turbulence at times preceding to the ultimate phase for the concentration fluctuation of a dilute contaminant undergoing a first-order chemical reaction in a rotating system for the case of four-point correlation is studied. Two-, three-, and four-point correlation equations have been obtained and the correlation equations are converted to spectral form by their Fourier-transform, the terms containing quintuple correlations are neglected in comparison to the third and fourth order correlation terms. Finally, integrating the energy spectrum over all wave numbers, the energy decay law of homogeneous turbulent flow for the concentration fluctuations ahead of the ultimate phase in a rotating system for four-point correlation has been obtained and it is shown by graphically in the text.
Keywords
Chemical Reactant, Deissler’s Method, Fourier-Transformation, Navier-Stokes Equation, Turbulent Flow, Correlation Function
To cite this article
M. Monuar Hossain, M. Abu Bkar Pk, M. S. Alam Sarker, Homogeneous Fluid Turbulence before the Final Period of Decay for Four-Point Correlation in a Rotating System for First-Order Reactant, American Journal of Theoretical and Applied Statistics. Vol. 3, No. 4, 2014, pp. 81-89. doi: 10.11648/j.ajtas.20140304.11
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