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Validation study on spatially averaged two‐fluid model for gas–solid flows: I. A priori analysis of wall bounded flows
Author(s) -
Schneiderbauer Simon
Publication year - 2018
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.16142
Subject(s) - turbulence , drag , closure (psychology) , mechanics , mixing (physics) , turbulence kinetic energy , a priori and a posteriori , filter (signal processing) , bounded function , mathematics , physics , statistical physics , engineering , mathematical analysis , philosophy , electrical engineering , epistemology , quantum mechanics , economics , market economy
In our prior study (Schneiderbauer, AIChE J, 2017;63(8):3544–3562), we presented a spatially averaged two‐fluid model, where closure models for the unresolved terms were derived. These closures require constitutive relations for the turbulent kinetic energies (TKEs) of the gas and solids phase as well as for the sub‐filter variance of the solids volume fraction (VVF). In this study, we have performed highly resolved TFM simulations of a set of three‐dimensional wall dominated periodic channels. An a priori analysis shows that these closures are able to correctly predict the wall profiles of the sub‐grid drag modification, the TKEs, the turbulent viscosities and the VVF without requiring special wall corrections. Solely the mixing lengths, which is required by the closures, has to be adapted in the vicinity of wall similar to single‐phase turbulence; in particular, the minimum of the filter size and the distance to the wall should be used. © 2018 The Authors AIChE Journal published by Wiley Periodicals, Inc. on behalf of American Institute of Chemical Engineers AIChE J , 64: 1591–1605, 2018