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Prediction of power consumption in mechanically agitated gassed reactor in viscous batch‡

  • Labík Libor EMAIL logo , Moucha Tomáš , J. Rejl František and Valenz Lukáš
Published/Copyright: February 2, 2016
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Chemical Papers
From the journal Chemical Papers Volume 70 Issue 4

Abstract

Transport characteristics such as volumetric mass transfer coefficients, kLa, power input, P, gas hold-up, φ, and mixing time, tm, are the key parameters in the design of mechanically agitated gas– liquid contactors. For their successful design, values of the key parameters can be estimated using empirical correlations. Power input in this case is very often used as the scale of energy dissipation for other characteristics. Our goal was to propose reliable power input correlations for viscous batch processes, which are widely used in industry. The measurements were carried out in a pilot-plant vessel and also results from a laboratory vessel were used to develop the correlations. Different types of impellers and their combinations were used, including radial, axial, and combined liquid flow impellers. The power input was measured in a multiple-impeller vessel at different impeller frequencies and several gas flow rates. Correlation equations describing the behavior of particular impellers were evaluated. In addition, separate correlations for the bottom and upper sections in the multiple-impeller vessel were presented. These correlations can be used for impeller power prediction in industrial scale vessels under a wide range of operational conditions.

Keywords: power input; viscous batch; multiple-impeller vessel; correlation; gas–liquid
‡

Presented at the 42nd International Conference of the Slovak Society of Chemical Engineering, Tatranské Matliare, Slovakia, 25–29 May 2015.

Acknowledgements.

Financial support by the Specific University Research (MSMT No. 20/2015) and the Czech Science Foundation (project No. 15-21715S) is gratefully acknowledged.

Symbols

Aedimensionless aeration number (= Q/fD3)
avolumetric interfacial aream−1
Dimpeller diameterm
Diimpeller blade widthm
Frdimensionless modified Froude number (= f2D4/(gDiV2/3))
fimpeller frequencys−1
ggravitational constantm s−2
Jnumber of experiments
Kinempirical constants in the correlations of transport characteristics
kLliquid side mass transfer coefficientm s−1
Mbeartorque on the impeller shaft in an empty vesselN m
Mtottotal torque on the impeller shaft in a full vesselN m
Nnumber of impellers in the vessel
Pgpower dissipated by impeller under gassed conditionW
Pispecific power dissipated by impeller on stage i (i = 1, 2, 3, 2–3)W m−3
PN¯specific power dissipated by the N-th impeller in liquidW m−3
Podimensionless power number of impeller (= Pu/(f3D5ρ))
Pupower dissipated by impeller under ungassed conditionsW
Qgas flow ratem3 s−1
ReReynolds number for mixing (= ρLfD2/η)
Ttank diameterm
VLliquid volumem3
υssuperficial gas velocitym s−1
Wedimensionless Weber number (= PLf2D3/σ)
ηdynamic viscosityPa s
ρLliquid batch densitykg m−3
σsurface tensionkg s−2

References

Abrardi, V., Rovero, G., Sicardi, S., Baldi, G., & Conti, R. (1988). Sparged vessels agitated by multiple turbines. In Proceedings of the 6th European Conference on Mixing, May 24–26 1988 (pp. 329–336). Pavia, Italy: AIDIC.Search in Google Scholar

Adamiak, R., & Karcz, J. (2007). Effects of type and number of impellers and liquid viscosity on the power characteristics of mechanically agitated gas–liquid systems. Chemical Papers, 61, 16–23. DOI: 10.2478/s11696-006-0089-6.10.2478/s11696-006-0089-6.Search in Google Scholar

Bates, R. L., Fondy, P. L., & Corpstein, R. R. (1963). Examination of some geometric parameters of impeller power. Industrial & Engineering Chemistry Process Design and Development, 2, 310–314. DOI: 10.1021/i260008a011.10.1021/i260008a011.Search in Google Scholar

Clark, M. W., & Vermeulen, T. (1963). Power requirements for mixing of liquid-gas systems. Berkeley, CA, USA: University of California. (LRL report UCRL-10996)Search in Google Scholar

Cui, Y. Q., van der Lans, R. G. J. M., & Luyben, K. C. A. M. (1996). Local power uptake in gas-liquid systems with single and multiple Rushton turbines. Chemical Engineering Science, 51, 2631–2636. DOI: 10.1016/0009-2509(96)00128-5.10.1016/0009-2509(96)00128-5.Search in Google Scholar

Djebbar, R., Roustan, M., Line, A., & Bouaifi, M. (1997). CFD mass transfer predictions in aerated agitated tanks equipped with axial impeller. In J. Bertrand, & J. Villermaux (Eds.), Mixing 97: Multiphase systems (pp. 239–246).Search in Google Scholar

Fujasová, M., Linek, V., & Moucha, T. (2007). Mass transfer correlations for multiple-impeller gas–liquid contactors. Analysis of the effect of axial dispersion in gas and liquid phases on ”local” kLa values measured by the dynamic pressure method in individual stages of the vessel. Chemical Engineering Science, 62, 1650–1669. DOI: 10.1016/j.ces.2006.12.003.10.1016/j.ces.2006.12.003.Search in Google Scholar

Galaction, A. I., Cascaval, D., Oniscu, C., & Turnea, M. (2004). Prediction of oxygen mass transfer coefficients in stirred bioreactors for bacteria, yeasts and fungus broths. Biochemical Engineering Journal, 20, 85–94. DOI: 10.1016/j.bej.2004.02.005.10.1016/j.bej.2004.02.005.Search in Google Scholar

Gogate, P. R., Beenackers, A. A. C. M., & Pandit, A. B. (2000). Multiple-impeller systems with a special emphasis on biore-actors: a critical review. Biochemical Engineering Journal, 6, 109–144. DOI: 10.1016/s1369-703x(00)00081-4.10.1016/s1369-703x(00)00081-4.Search in Google Scholar

González-Sáiz, J. M., Pizarro, C., & Garrido-Vidal, D. (2008). Modelling gas–liquid and liquid–gas transfers in vinegar production by genetic algorithms. Journal of Food Engineering, 87, 136–147. DOI: 10.1016/j.jfoodeng.2007.11.020.10.1016/j.jfoodeng.2007.11.020.Search in Google Scholar

Hari-Prajitno, D., Mishra, V. P., Takenaka, K., Bujalski, W., Nienow, A. W., & McKemmie, J. (1998). Gas–liquid mixing studies with multiple up- and down-pumping hydro-foil impellers: Power characteristics and mixing time. Canadian Journal of Chemical Engineering, 76, 1056–1068. DOI: 10.1002/cjce.5450760612.10.1002/cjce.5450760612.Search in Google Scholar

Hassan, I. T. M., & Robinson, C. W. (1977). Stirred-tank mechanical power requirement and gas holdup in aerated aqueous phases. AIChE Journal, 23, 48–56. DOI: 10.1002/aic.690230109.10.1002/aic.690230109.Search in Google Scholar

Hicks, R. W., & Gates, L. E. (1976). How to select turbine agitators for dispersing gas into liquids. Chemical Engineering NY, 83(15), 141–148.Search in Google Scholar

Hudcova, V., Machon, V., & Nienow, A. W. (1989). Gas–liquid dispersion with dual Rushton turbine impellers. Biotechnology and Bioengineering, 34, 617–628. DOI: 10.1002/bit.260340506.10.1002/bit.260340506.Search in Google Scholar

Hughmark, G. A. (1980). Power requirements and interfacial area in gas–liquid turbine agitated systems. Industrial & Engineering Chemistry Process Design and Development, 19, 638–641. DOI: 10.1021/i260076a023.10.1021/i260076a023.Search in Google Scholar

Islam, R. S., Tisi, D., Levy, M. S., & Lye, G. J. (2008). Scale-up of Escherichia coli growth and recombinant protein expression conditions from microwell to laboratory and pilot scale basedonmatched kLa. Biotechnology and Bioengineering, 99, 1128–1139. DOI: 10.1002/bit.21697.10.1002/bit.21697.Search in Google Scholar

Joshi, J. B., Pandit, A. B., & Sharma, M. M. (1982). Mechanically agitated gas-liquid reactors. Chemical Engineering Science, 37, 813–844. DOI: 10.1016/0009-2509(82)80171-1.10.1016/0009-2509(82)80171-1.Search in Google Scholar

Ju, L. K., & Chase, G. G. (1992). Improved scale-up strategies of bioreactors. Bioprocess Engineering, 8, 49–53. DOI: 10.1007/bf00369263.10.1007/bf00369263.Search in Google Scholar

Kumaresan, T., & Joshi, J. B. (2006). Effect of impeller design on the flow pattern and mixing in stirred tanks. Chemical Engineering Journal, 115, 173–193. DOI: 10.1016/j.cej.2005.10.002.10.1016/j.cej.2005.10.002.Search in Google Scholar

Linek, V., Moucha, T., Doušová, M., & Sinkule, J. (1994). Measurement of kLa by dynamic pressure method in pilot-plant fermentor. Biotechnology and Bioengineering, 43, 477–482. DOI: 10.1002/bit.260430607.10.1002/bit.260430607.Search in Google Scholar

Linek, V., Moucha, T., Rejl, F. J., Kordač, M., Hovorka, F., Opletal, M., & Haidl, J. (2012). Power and mass transfer correlations for the design of multi-impeller gas–liquid contactors for non-coalescent electrolyte solutions. Chemical Engineering Journal, 209, 263–272. DOI: 10.1016/j.cej.2012.08.005.10.1016/j.cej.2012.08.005.Search in Google Scholar

Loiseau, B., Midoux, N., & Charpentier, J. C. (1977). Some hydrodynamics and power input data in mechanically agitated gas–liquid contactors. AIChE Journal, 23, 931–935. DOI: 10.1002/aic.690230621.10.1002/aic.690230621.Search in Google Scholar

Lu, W. M., & Yao, C. L. (1992). Power consumption and gas dispersion in a multi-stage Rushton turbine impeller stirred tank. Journal of the Chinese Institute of Chemical Engineers, 23, 173–179.Search in Google Scholar

Lu, W. M., & Wu, H. Z. (2002). Gassed power drawn by each impeller in multiple impeller agitated vessels. Journal of the Chinese Institute of Chemical Engineers, 33, 541–553.Search in Google Scholar

Luong, H. T., & Volesky, B. (1979). Mechanical power requirements of gas-liquid agitated system. AIChE Journal, 25, 893–895. DOI: 10.1002/aic.690250520.10.1002/aic.690250520.Search in Google Scholar

Marques, M. P. C., Cabral, J. M. S., & Fernandes, P. (2010). Bioprocess scale-up: quest for the parameters to be used as criterion to move from microreactors to lab-scale. Journal of Chemical Technology and Biotechnology, 85, 1184–1198. DOI: 10.1002/jctb.2387.10.1002/jctb.2387.Search in Google Scholar

McFarlane, C. M., Zhao, X. M., & Nienow, A. W. (1995). Studies of high solidity ratio hydrofoil impellers for aerated biore-actors. 2. Air–water studies. Biotechnology Progress, 11, 608–618. DOI: 10.1021/bp00036a002.10.1021/bp00036a002.Search in Google Scholar

Michel, B. J., & Miller, S. A. (1962). Power requirements of gas-liquid agitated systems. AIChE Journal, 8, 262–266. DOI: 10.1002/aic.690080226.10.1002/aic.690080226.Search in Google Scholar

Moucha, T., Linek, V., Erokhin, K., Rejl, J. F., & Fujasová, M. (2009). Improved power and mass transfer correlations for design and scale-up of multi-impeller gas-liquid contactors. Chemical Engineering Science, 64, 598–604. DOI: 10.1016/j.ces.2008.10.043.10.1016/j.ces.2008.10.043.Search in Google Scholar

Moucha, T., Rejl, F. J., Kordač, M., & Labík, L. (2012). Mass transfer characteristics of multiple-impeller fermenters for their design and scale-up. Biochemical Engineering Journal, 69, 17–27. DOI: 10.1016/j.bej.2012.08.007.10.1016/j.bej.2012.08.007.Search in Google Scholar

Nagata, S. (1975). Mixing principles and applications. Ultimo, NSW, Australia: Halstead Press.Search in Google Scholar

Nienow, A. W., & Lilly, M. D. (1979). Power drawn by multiple impellers in sparged agitated vessels. Biotechnology and Bioengineering, 21, 2341–2345. DOI: 10.1002/bit.260211214.10.1002/bit.260211214.Search in Google Scholar

Nienow, A. W. (1990). Gas dispersion performance in fermentor operation. Chemical Engineering Progress, 86(2), 61–71.Search in Google Scholar

Nocentini, M., Magelli, F., Pasquali, G., & Fajner, D. (1988). A fluid-dynamic study of a gas–liquid, non-standard vessel stirred by multiple impellers. The Chemical Engineering Journal, 37, 53–59. DOI: 10.1016/0300-9467(88)80006-6.10.1016/0300-9467(88)80006-6.Search in Google Scholar

Pacek, A. W., Chamsart, S., Nienow, A. W., & Bakker, A. (1999). The influence of impeller type on mean drop size and drop size distribution in an agitated vessel. Chemical Engineering Science, 54, 4211–4222. DOI: 10.1016/s0009-2509(99)00156-6.10.1016/s0009-2509(99)00156-6.Search in Google Scholar

Pharamond, J. C., Roustan, M., & Roques, H. (1975). Determination de la puissance consommee dans une cuve aeree et agitee. Chemical Engineering Science, 30, 907–912. DOI: 10.1016/0009-2509(75)80056-x. (in French)10.1016/0009-2509(75)80056-x.Search in Google Scholar

Puthli, M. S., Rathod, V. K., & Pandit, A. B. (2005). Gas–liquid mass transfer studies with triple impeller system on a laboratory scale bioreactor. Biochemical Engineering Journal, 23, 25–30. DOI: 10.1016/j.bej.2004.10.006.10.1016/j.bej.2004.10.006.Search in Google Scholar

Rieger, F., Kuncewicz, C., & Seichter, P. (2011). Comparision of conditions for suspensions production for standard six blade turbine impeller and TX335 impeller. Przemysl Chemiczny, 90, 2179–2182.Search in Google Scholar

Rieger, F., Jirout, T., Ceres, D., & Seichter, P. (2013). Effect of impeller shape on solid particle suspension. Chemical and Process Engineering-Inzynieria Chemiczna i Procesowa, 34, 139–152. DOI: 10.2478/cpe-2013-0012.10.2478/cpe-2013-0012.Search in Google Scholar

Rushton, J. H., Costich, E. W., & Everett, H. J. (1950). Power characteristics of mixing impellers. Chemical Engineering Progress, 46, 467–476.Search in Google Scholar

Sardeing, R., Aubin, J., Poux, M., & Xuereb, C. (2004). Gas– liquid mass transfer: Influence of sparger location. Chemical Engineering Research and Design, 82, 1161–1168. DOI: 10.1205/cerd.82.9.1161.44158.10.1205/cerd.82.9.1161.44158.Search in Google Scholar

Seichter, P. (1987). Power input of aerated agitator system of high-speed fermenter. Collection of Czechoslovak Chemical Communications, 52, 2181–2187. DOI: 10.1135/cccc19872181.10.1135/cccc19872181.Search in Google Scholar

Seichter, P., & Pešl, L. (2005). Navrhování rotačních míchadel – věda nebo rutina? CHEMagazín, 15(2), 8–11. (in Czech)Search in Google Scholar

Seichter, P., & Pešl, L. (2012). Tlakové účinky axiálních míchadel. CHEMagazín, 22(2), 8–11. (in Czech)Search in Google Scholar

Smith, J. M., Gao, Z. M., & Middleton, J. C. (2001). The unsparged power demand of modern gas dispersing impeller in boiling liquids. Chemical Engineering Journal, 84, 15–21. DOI: 10.1016/s1385-8947(00)00267-9.10.1016/s1385-8947(00)00267-9.Search in Google Scholar

van’t Riet, K., Boom, J. M., & Smith, J. M. (1976). Power consumption, impeller coalescence and recirculation in aerated vessels. Transactions of the Institution of Chemical Engineers, 54, 124–131.Search in Google Scholar

Zlokarnik, M. (2006). Scale-up in chemical engineering (2 ed.). Weinheim, Germany: Wiley-VCH.10.1002/352760815XSearch in Google Scholar

Zokaei-Kadijani, S., Safdari, J., Mousavian, M. A., & Rashidi, A. (2013). Study of oxygen mass transfer coefficient and oxygen uptake rate in a stirred tank reactor for uranium ore bioleaching. Annals of Nuclear Energy, 53, 280–287. DOI: 10.1016/j.anucene.2012.07.036.10.1016/j.anucene.2012.07.036.Search in Google Scholar

Received: 2015-6-2
Revised: 2015-9-17
Accepted: 2015-9-18
Published Online: 2016-2-2
Published in Print: 2016-4-1

© Institute of Chemistry, Slovak Academy of Sciences

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https://doi.org/10.1515/chempap-2015-0229
Keywords for this article
power input; viscous batch; multiple-impeller vessel; correlation; gas–liquid

Articles in the same Issue

  1. Original Paper
  2. Prevention of degradation of γ-irradiated EPDM using phenolic antioxidants
  3. Original Paper
  4. Differentiation of black, green, herbal and fruit bagged teas based on multi-element analysis using inductively-coupled plasma atomic emission spectrometry
  5. Original Paper
  6. Reaction mechanisms of carbon dioxide methanation
  7. Review
  8. Power consumption and gas–liquid dispersion in turbulently agitated vessels with vertical dual-array tubular coil baffles
  9. Short Communication
  10. Tannins analysis from different medicinal plants extracts using MALDI-TOF and MEKC
  11. Original Paper
  12. Trihexyl(tetradecyl)phosphonium bromide as extractant for Rh(III), Ru(III) and Pt(IV) from chloride solutions‡
  13. Original Paper
  14. Synthesis of Fe3O4–Ag nanocomposites and their application to enzymeless hydrogen peroxide detection
  15. Original Paper
  16. Possibilities for removal of chlorinated dye Mordant Blue 9 from model waste water‡
  17. Review
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  19. Original Paper
  20. Synthesis and properties of novel reusable nano-ordered KIT-5-N-sulfamic acid as a heterogeneous catalyst for solvent-free synthesis of 2,4,5-triaryl-1 H-imidazoles
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  29. Preface
  30. Experimental investigations of liquid flow in pipe with flat internal baffles
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