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Reynolds number scaling of flow in a Rushton turbine stirred tank: Part II--Eigen-decomposition of fluctuation

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Title: Reynolds number scaling of flow in a Rushton turbine stirred tank: Part II--Eigen-decomposition of fluctuation
Author(s): Raju, Renchi; Balachandar, S.; Hill, David F.; Adrian, Ronald J.
Subject(s): Flow scaling
Abstract: We consider the question of scaling of flow within a stirred tank with increasing Reynolds number. Experimental results obtained from two different tanks of diameter 15.25 cm and 29.21 cm with a Rushton turbine operating at a wide range of rotational speed, is considered for the scaling analysis. The resulting Reynolds number of the flow ranges from 4000 to about 80000. Phase locked stereoscopic PIV measurements have been performed in order to obtain all three components of velocity on three different vertical planes close to the impeller. The scaling of plane-averaged mean flow was explored in the companion Part I of the paper. The scaling of rms and skewness of fluctuation about the mean is investigated here. The fluctuation about the mean is explained in terms of time-dependent oscillation of the impeller-induced jet and tip vortex components of the flow. The spatial structure of the instantaneous fluctuation about the mean is investigated in terms of eigenmodes obtained using proper orthogonal decomposition with the method of snapshots. The scaling of energy content of the dominant eigenmodes with Re is investigated.
Issue Date: 2003-08
Publisher: Department of Theoretical and Applied Mechanics (UIUC)
Series/Report: TAM Reports 1032
Genre: Technical ReportArticle
Type: Text
Language: English
URI: http://hdl.handle.net/2142/301
ISSN: 0073-5264
Publication Status: published or submitted for publication
Peer Reviewed: is peer reviewed
Date Available in IDEALS: 2007-03-08
Is Version Of: Published as: Renchi Raju, S. Balachandar, David F. Hill, and Ronald J. Adrian. Reynolds number scaling of flow in a Rushton turbine stirred tank: Part II - Eigen decomposition of fluctuation. Chemical Engineering Science, Vol. 60, No. 12, 2005, pp. 3185-3198. DOI: 10.1016/j.ces.2004.12.040. Copyright 2005 Elsevier.
 

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  • Theoretical and Applied Mechanics (TAM) Technical Reports
    TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.

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