Analysis of Turbulence Structure in the Stirred Tank with a Deep Hollow Blade Disc Turbine by Time-resolved PIV

›› 2010, Vol. 18 ›› Issue (4): 588-599.

Analysis of Turbulence Structure in the Stirred Tank with a Deep Hollow Blade Disc Turbine by Time-resolved PIV

刘心洪, 包雨云, 李志鹏, 高正明

School of Chemical Engineering, Beijing University of Chemical Technology, Beijing 100029, China

收稿日期:2010-03-23 修回日期:2010-07-02 出版日期:2010-08-28 发布日期:2010-08-28
通讯作者: GAO Zhengming, E-mail:gaozm@mail.buct.edu.cn
基金资助:
Supported by the National Natural Science Foundation of China(20776008,20821004,20990224);the National Basic Research Program of China(2007CB714300)

Analysis of Turbulence Structure in the Stirred Tank with a Deep Hollow Blade Disc Turbine by Time-resolved PIV

LIU Xinhong, BAO Yuyun, LI Zhipeng, GAO Zhengming

School of Chemical Engineering, Beijing University of Chemical Technology, Beijing 100029, China

Received:2010-03-23 Revised:2010-07-02 Online:2010-08-28 Published:2010-08-28

摘要/Abstract

摘要： The turbulence structure in the stirred tank with a deep hollow blade (semi-ellispe) disc turbine (HEDT) was investigated by using time-resolved particle image velocimetry(TRPIV) and traditional PIV.In the stirred tank,the turbulence generated by blade passage includes the periodic components and the random turbulent ones.Traditional PIV with angle-resolved measurement and TRPIV with wavelet analysis were both used to obtain the random turbulent kinetic energy as a comparison.The wavelet analysis method was successfully used in this work to separate the random turbulent kinetic energy.The distributions of the periodic kinetic energy and the random turbulent kinetic energy were obtained.In the impeller region,the averaged random turbulent kinetic energy was about 2.6 times of the averaged periodic one.The kinetic energies at different wavelet scales from a6 to d1 were also calculated and compared.TRPIV was used to record the sequence of instantaneous velocity in the impeller stream.The evolution of the impeller stream was observed clearly and the sequence of the vorticity field was also obtained for the identification of vortices.The slope of the energy spectrum was approximately-5/3 in high frequency representing the existence of inertial subrange and some isotropic properties in stirred tank.From the power spectral density (PSD),one peak existed evidently,which was located at f0 (blade passage frequency) generated by the blade passage.

关键词: stirred tank, time-resolved particle image velocimetry, wavelet analysis, energy spectrum, power spectral density, turbulent kinetic energy

Abstract: The turbulence structure in the stirred tank with a deep hollow blade (semi-ellispe) disc turbine (HEDT) was investigated by using time-resolved particle image velocimetry(TRPIV) and traditional PIV.In the stirred tank,the turbulence generated by blade passage includes the periodic components and the random turbulent ones.Traditional PIV with angle-resolved measurement and TRPIV with wavelet analysis were both used to obtain the random turbulent kinetic energy as a comparison.The wavelet analysis method was successfully used in this work to separate the random turbulent kinetic energy.The distributions of the periodic kinetic energy and the random turbulent kinetic energy were obtained.In the impeller region,the averaged random turbulent kinetic energy was about 2.6 times of the averaged periodic one.The kinetic energies at different wavelet scales from a6 to d1 were also calculated and compared.TRPIV was used to record the sequence of instantaneous velocity in the impeller stream.The evolution of the impeller stream was observed clearly and the sequence of the vorticity field was also obtained for the identification of vortices.The slope of the energy spectrum was approximately-5/3 in high frequency representing the existence of inertial subrange and some isotropic properties in stirred tank.From the power spectral density (PSD),one peak existed evidently,which was located at f0 (blade passage frequency) generated by the blade passage.

Key words: stirred tank, time-resolved particle image velocimetry, wavelet analysis, energy spectrum, power spectral density, turbulent kinetic energy

刘心洪, 包雨云, 李志鹏, 高正明. Analysis of Turbulence Structure in the Stirred Tank with a Deep Hollow Blade Disc Turbine by Time-resolved PIV[J]. , 2010, 18(4): 588-599.

LIU Xinhong, BAO Yuyun, LI Zhipeng, GAO Zhengming. Analysis of Turbulence Structure in the Stirred Tank with a Deep Hollow Blade Disc Turbine by Time-resolved PIV[J]. , 2010, 18(4): 588-599.

参考文献

1 Sachs,J. P.,Rushton,J. H.,“Discharge flow from turbine type mixing impellers”,Chem.Eng.Prog.,50(12),597-603(1954).
2 Van't Riet,K.,Smith,J. M.,“The behaviour of gas-liquid mixtures near Rushton turbine blades”,Chem.Eng.Sci.,28(4),1031-1037 (1973).
3 Van't Riet,K.,Smith,J. M.,“The trailing vortex system produced by Rushton turbine agitators”,Chem.Eng.Sci.,30(9),1093-1105 (1975).
4 Wu,H.,Patterson,G. K.,“Laser-Doppler measurements of turbulentflow parameters in a stirred mixer”,Chem.Eng.Sci.,44(10), 2207-2221(1989).
5 Lee,K. C.,Yianneskis,M.,“Turbulence properties of the impeller stream of a Rushton turbine”,AIChE J.,44(1),13-23(1998).
6 Sharp,K.V.,Adrian,R. J.,“PIV study of small-scale flow structure around a Rushton turbine”,AIChE J.,47(4),766-777(2001).
7 Escudié,R.,Liné,A.,“Experimental analysis of hydrodynamics in a radially agitated tank”,AIChE J.,49(3),585-603(2003).
8 Baldi,S.,Yianneskis,M.,“On the quantification of energy dissipation in the impeller stream of a stirred vessel from fluctuating velocity gradient measurements”,Chem.Eng.Sci.,59(13),2659-2671 (2004).
9 Huchet,H.,Line,A.,Morchain,J.,“Evaluation of local kinetic energy dissipation rate in the impeller stream of a Rushton turbine by TRPIV”,Chem.Eng. Res. Des.,87(4),369-376(2009).
10 Bao,Y. Y.,Hao,Z.G.,Gao,Z. M.,Shi,L. T.,“Gas dispersion and solid suspension in a three-phase stirred tank with multiple impellers”, Chem.Eng.Comm.,193,801-825 (2006).
11 Liu,X. H.,Bao,Y. Y.,Li,Z. P.,Gao,Z. M.,Smith,J.M.,“Particle image velocimetry study of turbulence characteristics in a vessel agitated by a dual Rushton impeller”,Chin. J. Chem .Eng.,16(5), 700-708 (2008).
12 Liu,X.H.,Min,J.,Pan,C.M.,Gao,Z. M.,Chen,W. M.,“Investigationof turbulence kinetic energy dissipation rate in a stirred tank using large eddy PIV approach”,Chinese Journal of Process Engineering, 18(3),86-92(2008).(in Chinese)
13 Rutherford,K.,Lee,K.C.,Mahmoudi,S.M.S.,Yianneskis,M.,“Hydrodynamic characteristics of dual Rushton impeller stirred vessels”, AIChE J.,42(2),332-346(1996).
14 Stoots,C.,Calabrese,R. V.,“Mean velocity field relative to a Rushton turbine blade”,AIChE J.,41(1),1-11(1995).
15 Escudié,R.,Bouyer,D.,Liné,A.,“Characterization of trailing vortices generated by a Rushton turbine”,AIChE J.,50(1),75-86 (2004).
16 Escudié,R.,Liné,A.,“A simplified procedure to identify trailing vortices generated by a Rushton turbine”,AIChE J.,53(2),523-526 (2007).
17 van der Molen,K.,van Maanen,H.R.E.,“Laser-Doppler measure-ments of the turbulent flow in stirred vessels to establish scaling rules”,Chem.Eng.Sci.,33(9),1161-1168(1978).
18 Chung,K.H.K.,Barigou,M.,Simmons,M.J.H.,“Reconstruction of 3-D flow field inside miniature stirred vessels using a 2-D PIV technique”,I Chem E,85(A5),560-576(2007).
19 Zhang,Z.S.,Cui,G. X.,Xu,C. X.,Theory and Modeling of Turbulence,Tsinghua University Press,Beijing,80-81(2005).(in Chinese)
20 Kresta,S. M.,“Turbulence in stirred tanks:Anisotropic,approximate and applied”,Can.J.Chem.Eng.,76,563-576(1998).
21 Chapple,D.,Kresta,S. M.,“The effect of geometry on the stability of flow patterns in stirred tanks”,Chem.Eng.Sci.,49(21),3651-3660 (1994).
22 Farge,M.,“Wavelet transforms and their applications to turbulence”, Ann.Rev.Fluid Mech.,24,395-457(1991).
23 Kitagawa,T.,Nomura,T.,“A wavelet-based method to generate artificial wind fluctuation data”,J.Wind Eng.Ind.Aerodyn.,91, 943-964(2003).

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Analysis of Turbulence Structure in the Stirred Tank with a Deep Hollow Blade Disc Turbine by Time-resolved PIV

Analysis of Turbulence Structure in the Stirred Tank with a Deep Hollow Blade Disc Turbine by Time-resolved PIV

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