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A spectral approach of suspending solid particles in a turbulent stirred vessel
Author(s) -
Giacomelli Jason J.,
Van den Akker Harry E. A.
Publication year - 2021
Publication title -
aiche journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.958
H-Index - 167
eISSN - 1547-5905
pISSN - 0001-1541
DOI - 10.1002/aic.17097
Subject(s) - turbulence , suspension (topology) , eddy , dissipation , mechanics , particle (ecology) , inertial frame of reference , particle size , physics , scale (ratio) , statistical physics , meteorology , thermodynamics , classical mechanics , mathematics , chemistry , geology , oceanography , quantum mechanics , homotopy , pure mathematics
The 2015 Grenville‐Mak‐Brown (GMB) correlation for predicting the just suspended condition assumes that the length scale of the suspending eddy is equivalent to the particle diameter. This article investigates the role of the time scale of the relevant eddies with respect to the particle response time. The local turbulence just above the tank bottom is gauged by means of single‐phase LESs at the just suspended conditions determined in new experiments in dilute suspensions. By means of a novel nondimensional Suspension number we found that the relevant suspending eddies in the inertial subrange are 1.2–1.5 times larger than the particle size while the required eddy time scale is of the order of two times the particle response time. Further, we concluded that the mean energy dissipation rate is a suitable approximation of the local energy responsible for suspension. These results do not impact the effectiveness of the GMB correlation.