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2015 | 36 | 2 | 135-149
Tytuł artykułu

Local Turbulent Energy Dissipation Rate in a Vessel Agitated by a Rushton Turbine

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The scaling of turbulence characteristics such as turbulent fluctuation velocity, turbulent kinetic energy and turbulent energy dissipation rate was investigated in a mechanically agitated vessel 300 mm in inner diameter stirred by a Rushton turbine at high Reynolds numbers in the range 50 000 < Re < 100 000. The hydrodynamics and flow field was measured using 2-D TR PIV. The convective velocity formulas proposed by Antonia et al. (1980) and Van Doorn (1981) were tested. The turbulent energy dissipation rate estimated independently in both radial and axial directions using the one-dimensional approach was not found to be the same in each direction. Using the proposed correction, the values in both directions were found to be close to each other. The relation ε/(N3·D2) ∞ const. was not conclusively confirmed.
Wydawca

Rocznik
Tom
36
Numer
2
Strony
135-149
Opis fizyczny
Daty
wydano
2015-06-01
otrzymano
2014-11-22
poprawiono
2015-02-18
zaakceptowano
2015-04-24
online
2015-07-17
Twórcy
autor
  • Czech Technical University in Prague, Faculty of Mechanical Engineering, Department of Process Engineering, Technická 4, 166 07 Prague, Czech Republic, Radek.Sulc@fs.cvut.cz
autor
  • Czech Technical University in Prague, Faculty of Mechanical Engineering, Department of Process Engineering, Technická 4, 166 07 Prague, Czech Republic
autor
  • Czech Technical University in Prague, Faculty of Mechanical Engineering, Department of Process Engineering, Technická 4, 166 07 Prague, Czech Republic
Bibliografia
  • Antonia R.A., Satyaprakash B.R., Hussain A.K.M.F., 1980. Measurements of dissipation rate and some other characteristics of turbulent plane and circular jets. Phys. Fluids, 23, 695-700. DOI: 10.1063/1.863055.
  • Baldi S., Yianneskis M., 2004. On the quantification of energy dissipation in the impeller stream of a stirred vessel from fluctuating velocity gradient measurements. Chem. Eng. Sci., 59, 2659-2671. DOI: 10.1016/j.ces.2004.03.021.
  • Bałdyga, J., Bourne, J.R., 1999. Turbulent mixing and chemical reactions. Wiley, England. Bowerman B.L., O´Connell R.T., 1997. Applied statistics: Improving business processes. Richard D. Irwin, USA.
  • Ducci A., Yianneskis M., 2005. Direct determination of energy dissipation in stirred vessels with two-point LDA. AIChE J., 51, 2133-2149. DOI 10.1002/aic.10468.
  • Grant H.L., Stewart R.W., Moilliet A., 1962. Turbulence spectra from a tidal channel. J. Fluid Mechanics, 12, 241-263. DOI: 10.1017/S002211206200018X.
  • Fořt I., Obeid A., Březina V., 1982. Flow of liquid in a cylindrical vessel with a turbine impeller and radial baffles. Coll. Czechoslov. Chem. Comm., 47, 226-239. DOI: 10.1135/cccc19820226.
  • Kolmogorov A.N., 1941. The local structure of turbulence in incompressible viscous fluid for very large Reynolds' numbers. Doklady Akad. Nauk SSSR, 30, 301-305. DOI: 10.1070/PU1968v010n06ABEH003710.
  • Kotek M., Pešava V., Kopecký V., Jašíková D., Kysela B., 2012. PIV measurement in a vessel of D = 0.3 m agitated by Rushton turbine. Research report for project No. 101/12/2274, Liberec.
  • Kresta S.M., Wood P.E., 1993. The flow field produced by pitched blade turbine: characterization of the turbulence and estimation of the dissipation rate. Chem. Eng. Sci., 48, 1761-1774. DOI: 10.1016/0009-2509(93)80346-R.
  • Paul E.L., Atiemo-Obeng V.A., Kresta S.M. (Eds.), 2004. Handbook of industrial mixing. Science and Practice. Wiley, Hoboken, NJ.
  • Sreenivasan K.R., 1995. On the universality of the Kolmogorov constant. Phys Fluids, 7, 2778-2784. DOI: 10.1063/1.868656.
  • Ståhl Wernersson E., Trägårdh C., 2000. Measurements and analysis of high-intensity turbulent characteristics in a turbine-agitated tank. Exp. Fluids, 28, 532-545. DOI: 10.1007/s003480050414.
  • Van Doorn M., 1981. On Taylor´s hypothesis in turbulent shear flows. Internal note 811123, Univ. of Missouri- Rolla.
  • Wu H., Patterson G.K., Van Doorn M., 1989. Distribution of turbulence energy dissipation rates in a Rushton turbine stirred mixer. Exp. Fluids, 8, 153-160. DOI:10.1007/BF00195789.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_1515_cpe-2015-0011
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