Skip to main content

Improved model for the calculation of homogeneous gas-liquid flows

  • Chapter
Bubbly Flows

Part of the book series: Heat and Mass Transfer ((HMT))

Abstract

The research project presented below gives a detailed explanation of the phenomenon of an increased relative velocity between gas and liquid phase in bubbly flows. It points out the conditions under which classical models for the description of two-phase flows tend to predict higher gas hold-ups than those determined experimentally, and explains the underlying physical relations. The cause for the increased relative velocity is an interactive effect of the bubble wakes on the shapes and trajectories of other bubbles. The experimental facilities of this research project which allowed the simultaneous observation of integral and local effects under a broad range of operating conditions are described in detail. p]A model for the calculation of the relative velocity in homogeneous bubbly two-phase flows is presented. It overcomes deficiencies of classical models which do not consider the mutual effects of swarm turbulence, gashold-up,bubble shape and size on the relative velocity. Based on observations of the shape and trajectories of single bubbles under swarm conditions ane xtension to the model, which includes further parameters of the liquid phase, is proposed.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Agrawal SK, Wasan DT(1979)Einflussder Grenzflächenaktivitätaufdie Bewegungvon Tropfenund Blasen.Chem Eng J18:215–223

    Google Scholar 

  • Brauer H(1971)Grundlagender Einphasen-und Mehrphasenströmungen.Verlag Sauer-länder, Aarau, Frankfurtam Main.

    Google Scholar 

  • Bridge AG, Lapidus L, Elgin JC(1964)Themechanics of vertical gas-liquid fluidised systems I:Counter current flow.AICheJ10:819–826

    Google Scholar 

  • Clark NN, Flemmer RL(1985)Gas-Liquid Contacting in Vertical Two-Phase Flow.Ind Eng Chem Process Des Dev24:231–236

    Google Scholar 

  • Davies RM, Taylor GI(1950)The mechanics of large bubbles rising through extended liquids and through liquids in tubes.ProcRoySocA200:375–390.

    Google Scholar 

  • Fan L, Tsuchiya K(1990)Bubble Wake Dynamics in Liquids and Liquid-Solid Suspensions. Butterworth-Heinemann, Boston, London, Singapore, Sydney, Toronto

    Google Scholar 

  • Guder R(1997)Fluid dynamik von Dreiphasenströmungenin Treibstrahl schlaufen reaktoren. Fortschritt-Berichte VDI Verlag Düsseldorf

    Google Scholar 

  • Ishii M, Zuber N(1979)Drag coefficient and relative velocity in bubble,drop let or particulate flows.AICheJ25:843–855

    Google Scholar 

  • John S, Wilfer R, Räbiger N(1999)Messung hydro dynamischer Parameter in Mehrphasen-strömungen be ihohen Dispers phasengehaltenmit Hilfeder Elektrodiffusionsmess-technik. In:H.-M. Prasser(ed)Wissenschaftlich-Technische Berichte. FZR-281F or schungszentrum Rossendorf

    Google Scholar 

  • Joshi JB, Ranade VV, Gharat, SD, Lele SS(1990)SpargedLoopReactors.Can J Chem Eng68:705–741.

    Google Scholar 

  • Levich, VG(1962)Physico chemical hydro dynamics.Prentice Hall, Englewood Cliffs, NewYork

    Google Scholar 

  • Maxworthy T, Gnann C, Kürten M, Durst F(1996)Experiments on the rise of air bubbles in clean viscous liquids.J Fluid Mech321:421–441

    Google Scholar 

  • Räbiger, N(1984)Blasen bild ung an Düsensowie Blasen beweg ung in ruhenden und strö-menden Newtonschen und nicht-Newtonschen Flüssigkeiten.Fortschrittsberichte VDI, Nr.625,Düsseldorf

    Google Scholar 

  • Räbiger N, Schlüter M(2002)Bildung und Beweg ung von Tropfen und Blasen. VDI—Wärmeatlas, 9edn,Springer Verlag, Heidelberg.

    Google Scholar 

  • Richardson JF, Zaki WN(1954)Sedimentation and fluidization: part1.Trans Instn Chem Engrs32:35–53.

    Google Scholar 

  • Schlüter M, Bork O, Scheid S, Hövelmann S, Räbiger N(2001)New Aspects of Hydro dynamics and Mass Transfer in Multiphase Flows.Proceedings of the ICMF-2001Tu-lane University

    Google Scholar 

  • Schlüter M(2002)Biasen beweg ung in praxis relevant en Zwei phasenströmungen.Ph.D. Thesis,UniversityofBremen

    Google Scholar 

  • Schlüter M, Räbiger N(1998)Bubbles warm velocity in two-phase flows. HTD-Vol.361 Proceedings of the ASME Heat Transfer Division, vol5, ASME

    Google Scholar 

  • Wallis GB(1969)One-dimensional two-phaseflow.McGrawHill, NewYork

    Google Scholar 

  • Zehner P(1985)Beschreib ung der Fluiddynamikvongleichmäßigfluidisierten Kugel-schwärmen, Chem Eng Process19:57–65

    Google Scholar 

  • Zuber N, Findlay JA(1965)Average volume tric concentration in two-phase flow systems. ASMEJ Heat Transfer87:453

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Scheid, S., John, S., Bork, O., Parchmann, H., Schlüter, M., Räbiger, N. (2004). Improved model for the calculation of homogeneous gas-liquid flows. In: Sommerfeld, M. (eds) Bubbly Flows. Heat and Mass Transfer. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18540-3_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-18540-3_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-62150-5

  • Online ISBN: 978-3-642-18540-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics