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An Updated Classification Map of Particle-Laden Turbulent Flows Said Elghobashi Department of Mechanical and Aerospace Engineering, University of California, Irvine, CA 92697, USA 1 Introduction The classification map of particle-laden turbulent flows shown in Figure 1, originally proposed by Elghobashi [4] and slightly modified by Elghobashi [5], was based on the experimental and direct numerical simulation (DNS) data available at the time. However, recent DNS results of particle-laden isotropic turbulence [8] now provide sufficient details to update a small region in the map. The purpose of this short paper is to describe the updated map. It should be noted that the map covers a wide-range of particle-laden turbulent flow regimes, most of which are not fully understood at present. The statements made by Elghobashi [5] about the challenges facing the attempts of numerically predicting particle-laden turbulent flows are still valid today. Thus, it is expected that the map will be further updated when new reliable data become available. 2 Description of the original map Figure 1 shows the classification map of Elghobashi [5]. The quantities appearing on the dimensionless coordinates are defined below. φ : volume fraction of particles,φ = NV /V N : total number of particles in
Published: Jan 1, 2006
Keywords: Turbulence Kinetic Energy; Dissipation Rate; Direct Numerical Simulation; Isotropic Turbulence; Ghost Particle
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