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Prediction of liquid circulation in viscous bubble columns
Author(s) -
Rice Richard G.,
Geary Nicholas W.
Publication year - 1990
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.690360907
Subject(s) - prandtl number , dimensionless quantity , bubble , mechanics , circulation (fluid dynamics) , viscosity , reynolds number , mixing (physics) , turbulence , viscous liquid , thermodynamics , reynolds stress , chemistry , closure (psychology) , intensity (physics) , physics , convection , optics , quantum mechanics , economics , market economy
A new theory to predict liquid circulation was derived and compared with applicable literature data. A single dimensionless group, ε ( gRd 2 / v 2 c ), is shown to control mixing intensity under low‐viscosity conditions, but two separate groups ( ε and gRd 2 / v 2 c ) are necessary for viscous systems. Closure was accomplished using the Prandtl model for Reynolds stress. Locally varying mixing length was taken to be proportional to bubble size and bubble concentration. The model was constructed based on the premise that two distinct zones exist: a mainly turbulent core joined to a thin viscous wall layer.