Method of convective velocity determination from dissipative range of energy spectrum

• Authors: Tomasz Kurasiński , Czesław Kuncewicz , Jacek Stelmach
• Languages of publication: EN

Abstracts

EN

In the study a new proposal of convective velocity determination necessary for eddy size determination from the dissipative range in a turbulent flow in a mixer was made. The proposed quantity depends on all the mean and fluctuating velocity components. By applying convective velocity one may determine the distribution of time and linear Taylor microscale in a stirred vessel.

Keywords

EN

turbulent flow; dissipative range; eddies

• Publisher: De Gruyter Open
• Journal: Chemical and Process Engineering
• Year: 2012
• Volume: 33
• Issue: 1
• Pages: 19-29

Dates

published

1 - 3 - 2012

online

6 - 3 - 2012

Contributors

author

Tomasz Kurasiński

• Faculty of Process and Environmental Engineering, Technical University of Lodz, ul. Wólczańska 213, 90-924 Łódź, Poland

author

Czesław Kuncewicz

• Faculty of Process and Environmental Engineering, Technical University of Lodz, ul. Wólczańska 213, 90-924 Łódź, Poland

author

Jacek Stelmach

• Faculty of Process and Environmental Engineering, Technical University of Lodz, ul. Wólczańska 213, 90-924 Łódź, Poland

References

• Alves S. S., Maia C. I., Vasconcelos J. M. T., Serralheiro A. J., 2002. Bubble size in aerated stirred tanks. Chem. Eng. J., 89, 1-3, 109-107. DOI: 10.1016/S1385-8947(02)00008-6.[Crossref]
• Barailler F., Heniche M, Tanguy P., 2006. CFD analysis of a rotor-stator mixer with viscous fluids. Chem. Eng. Sci., 61, 9, 2888-2894. DOI: 10.1016/j.ces.2005.10.064.[Crossref]
• Broersen P. M. T., de Waele S., Bos R., 2000. The accuracy of time series analysis for laser-Doppler velocimetry, 10th International Symposium on Application of Laser Technique to Fluid Mechanics. Lisboa, Portugal, 10-13 July 2000.
• Costes J., Couderc J., 1988. Study by LDA of the turbulent flow induced by a Rusthon turbine in a stirred tank. Spectral analysis and scale of turbulence. Chem. Eng. Sci., 43, 10, 2765-2772. DOI: 10.1016/0009-2509(88)80019-8.[Crossref]
• Kresta S., Wood P., 1993. The flow field produced by a pitched blade turbine: characterization of the turbulence and estimation of dissipation rate. Chem. Eng. Sci., 48, 10, 1761-1774. DOI: 10.1016/0009-2509(83)80346-R.[Crossref]
• Kurasiński T., 2007. The effect of turbulent field parameters on the mass transport rate for self-aspirating impellers. PhD Thesis, Technical University of Lodz, Łódź (in Polish).
• Kurasiński T., Kuncewicz Cz., 2009. Determination of turbulent diffusion coefficient in an agitator for self-aspirating impeller. 13th European Conference on Mixing, London, Great Britain, 14-17 April 2009, on CD-ROM.
• Laakonen M., Honkanen M., Saarenrinne, Aittamaa J., 2005. Local bubble size distribution, gas-liquid interfacial areas and gas holdups in stirred vessel with particle image velocimerty. Chem. Eng. J., 109, 1-3, 37-47. DOI: 10.1016/j.cej.2005.03.002.[WoS][Crossref]
• Martin M., Montes F. J., Galan M. A., 2008. Bubbling process in stirred tank reactors I: Agitator effect on bubble size, formation and rising. Chem. Eng. Sci., 63, 12, 3212-3222. DOI: 10.1016/j.ces.2008.03.028.[WoS][Crossref]
• Morud K., Hjertager B., 1996. LDA measurements and CFD modeling of gas-liquid flow in a stirred vessel. Chem. Eng. Sci., 51, 2, 233-249. DOI: 10.1016/0009-2509(95)00270-7.[Crossref]
• Nishikawa M., Okamoto Y., Hashimoto K, Nagata L., 1976. Turbulence energy spectra in baffled mixing vessel. J. Chem. Eng. Japan, 9, 6, 489-494.
• Nobach H., Müller E., Tropea C., 1998. Efficient estimation of power spectral density laser Doppler anemometer data. Ex. in Fluids, 24, 499-509. DOI: 10.1007/s003480050199.[Crossref]
• Nobach H., A., 1998. Global concept of autocorrelation and power spectral density estimation from LDA data sets, 9th International Symposium on Application of Laser Technique to Fluid Mechanics. Lisboa, Portugal, 13-16 July 1998, paper 32.5.
• Sandwell, David T., 1987. Biharmonic spline interpolation of GEOS-3 and SEASAT altimeter data. Geophysical Research Letters, 2, 139-142.[Crossref]
• Stelmach J., 2000. Investigation of the self-aspirating impellers. PhD Thesis, Technical University of Lodz, Łódź (in Polish).
• Stelmach J., Rzyski E., 2002. The application of sample and hold method in the processing of data obtained from a laser Doppler anemometer. Intern. Journal of Appl. Mech. Eng., 7, 1291-1303.
• Wernersson E., Trägårdh C., 2000. Measurements and analysis of high-intensity turbulent characteristics in a turbine agitated tank. Exp. in Fluids, 28, 532-545. DOI: 10.1007/s003480050414.[Crossref]
• Wu H., Patterson G., 1989. Laser-Doppler measurements of turbulent flow parameters in a stirred mixer. Chem. Eng. Sci. 44, 10, 2207-2221. DOI: 10.1016/0009(89)85155-3.[Crossref]

Identifiers

DOI

10.2478/v10176-012-0002-5