Decay of Temperature Fluctuations in Dusty Fluid Homogeneous Turbulence Prior to the Ultimate Period in Presence of Coriolis Force

M.A.K Azad,Mst Mumtahinah

doi:10.19026/rjaset.7.485

Abstract

Using deisslerâ€™s method we have studied the decay of temperature fluctuations in dusty fluid homogeneous turbulence before the final period in presence of coriolis force and have considered correlations between fluctuating quantities at two- and three-point. The equations for two- and three-point correlation is obtained and the set of equations is made to determinate by neglecting the forth-order correlation in comparison to the second- and third-order correlations. For solving the correlation equations are converted to spectral form by taking their Fourier transform. Finally, integrating the energy spectrum over all wave numbers, the energy decay law of temperature fluctuations in homogeneous dusty fluid turbulence before the final period in presence of coriolis force is obtained.

Highlights

Interest in motion of dusty viscous fluid has developed rapidly in recent years
By analyzing the above theories we have studied the decay of temperature fluctuations in dusty fluid homogeneous turbulence prior to the final period in presence of coriolis force considering the correlations between fluctuating quantities at two- and -three point and single time
× (t − t0 )−5 which was obtained earlier by Molla et al (2012). They had studied the decay of temperature fluctuation in homogeneous turbulenc before the final period in a Rotating System

Summary

Introduction

Interest in motion of dusty viscous fluid has developed rapidly in recent years. Such situations occur in movement of dust-laden air, in problems of fluidization, in the use of dust in gas cooling system and in sedimentation problem in tidal rivers.In geophysical flows, the system is usually rotating with a constant angular velocity. Following Deissler’s theory Loeffler and Deissler (1961) studied the decay of temperature fluctuations in homogeneous turbulence before the final period. Sarker and Azad (2006), Azad and Sarker (2006), Azad and Sarker (2008), Azad et al (2006), Azad and Sarker (2009) and Azad et al (2007-2008) studied the decay of temperature fluctuations in homogeneous and MHD dusty fluid turbulence.

Results

Conclusion