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Toward Improved Closure Relations for the Turbulent Kinetic Energy Equation in Bubble‐Driven Flows
Author(s) -
Wörner Martin,
Erdogan Sercan
Publication year - 2013
Publication title -
chemie ingenieur technik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.365
H-Index - 36
eISSN - 1522-2640
pISSN - 0009-286X
DOI - 10.1002/cite.201200243
Subject(s) - closure (psychology) , turbulence , bubble , turbulence kinetic energy , mechanics , k omega turbulence model , eulerian path , closure problem , k epsilon turbulence model , kinetic energy , computational fluid dynamics , statistical physics , scale (ratio) , two fluid model , physics , classical mechanics , theoretical physics , lagrangian , quantum mechanics , economics , market economy
There is a considerable interest within both academia and industry to develop improved computational fluid dynamic methods for gas‐liquid flows in bubble columns in order to support their scale‐up and optimal design. One main model limitation in current Eulerian two‐fluid and multi‐fluid models concerns adequate closure relations for turbulence in bubble‐driven flows. This article highlights some special features of bubble‐induced turbulence, discusses shortcomings of common concepts for closure of the liquid phase turbulence kinetic energy equation and presents an approach for development and validation of improved models. Some problematic issues related to the direct numerical simulation of bubble swarms in narrow bubble columns are also discussed.