Skip to main content

Mobility Control of Surfactant-Retarded Bubbles at Small and Order One Reynolds Numbers

  • Conference paper
  • 228 Accesses

Part of the book series: Fluid Mechanics and Its Applications ((FMIA,volume 57))

Abstract

We present results of a theoretical study of the steady motion of a spherical gas bubble in a viscous fluid which contains a soluble surfactant. For the model studied we present, through extensive numerical silmulations, conclusive evidence of increased mobility at the bubble interface as the surfactant concentration increases. This is demonstrated for both Stokes and Navier-Stokes flows. In the latter case, wakes are found to form behind the bubble when surfactants are present and the Reynolds number is sufficiently high. These wakes increase in size with increasing Reynolds number giving rise to large regions of almost stagnant flow. We also show that for a given wake formation regime, the wake can be removed completely and the bubble fully remobilized to its clean value by increasing the bulk concentration of surfactant. This can lead to significant improvement of technologies relying on enhanced mass transfer from the liquid to the gas phase, for example.

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

Buying options

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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Levich, V.G. Physicochemical Hydrodynamics. Prentice Hall, Englewood Cliffs, NJ, 1962.

    Google Scholar 

  2. Edwards, D.A., Brenner, H. and Wasan, D.T. Interfacial Transport Processes and Rheology. Butterworth-Heinemann, Boston, MA, 1991.

    Google Scholar 

  3. Huang, W.S. and Kintner,R.C. Effects of Surfactants on Mass Transfer Inside Drops. AIChEJ., 15 (1969), pp. 735–744.

    Article  Google Scholar 

  4. Beitel, A. and Heideger,W.J. Surfactant Effects on Mass Transfer from Drops Subject to Interfacial Instability. Chem. Engng. Sci.,, 26 (1971), pp. 711–717.

    Google Scholar 

  5. Kim, H. and Subramanian,R. Thermocapillary Migration of a Droplet with Insoluble Surfactant, II. General Case J. Colloid and Int. Sci., 130 (1989), pp. 112–125.

    Google Scholar 

  6. Nadim, A. and Borhan, A. The Effects of Surfactant on The Motion and Deformation of a Droplet in Thermocapillary Migration. PhysicoChemical Hydrodynamics, 11 (1989), pp. 753–764.

    Google Scholar 

  7. Chen, J. and Stebe, K. Surfactant-induced retardation of the thermocapillary migration of a droplet. J. Fluid Mech. 340 (1997), pp. 35–60.

    Article  MATH  Google Scholar 

  8. Savic, P. Circulation and distortion of liquid drops falling through a viscous medium. Nat. Res. Counc. Can., Div. Mech. Eng. Rep. MT-22 (1953).

    Google Scholar 

  9. Griffith, R.M. The effect of surfactants on the terminal velocity of drops and bubbles. Chem. Engng. Sci. 17 (1962), pp. 1057–1070.

    Article  Google Scholar 

  10. Harper, J. F. On bubbles with small immobile adsorbed films rising in liquids at Low Reynolds numbers J. Fluid Mech., 58 (1973), pp. 539–545.

    Article  MATH  Google Scholar 

  11. Davis, R. E. and Acrivos, A. The influence of surfactants on the creeping motion of bubbles. Chem. Engng. Sci., 21 (1966), pp. 681–685.

    Article  Google Scholar 

  12. Holbrook, J. A. and Levan, M. D. Retardation of Droplet Motion by Surfactant. Part I. Theoretical development and asymptotic solutions. Chem. Eng. Commun., 20 (1983), pp. 191–207.

    Article  Google Scholar 

  13. He, Z., Maldarelli, C. and Dagan, Z. The size of stagnant caps of bulk soluble surfactant on the interfaces of translating fluid droplets. J. Colloid and Interface Sci., 146 (1991), pp. 442–451.

    Google Scholar 

  14. Kim, H and Subramanian, R. Thermocapillary Migration of a Droplet with Insoluble Surfactant, I. Surfacant Cap. J. Colloid and Int. Sci., 127 (1989), pp. 417–430.

    Google Scholar 

  15. Bel Fdhila, R. and Duineveld, P. C. The effect of surfactants on the rise of a spherical bubble at high Reynolds and Peclet numbers. Phys. Fluids, 8 (1996), pp. 310–321.

    Article  Google Scholar 

  16. McLaughlin, J.B. Numerical simulation of bubble motion in water. J. Colloid Int. Sci., 184 (1997), pp. 614–625.

    Article  Google Scholar 

  17. Deryagin, B.V., Dukhin, S.S. and Lisichenko, V.A. The kinetics of the attachment of mineral particles to bubbles during flotation. I. The electric field of a moving bubble Russ. J. Phys. Chem., 33 (1959), pp. 389–393.

    Google Scholar 

  18. Saville, D. The effects of interfacial tension on the motion of drops and bubbles. Chem. Eng. J., 5 (1973), pp. 251–259.

    Google Scholar 

  19. Harper, J. F. On spherical bubbles rising steadily in dilute surfactant solutions Q. J! Mech. Appl. Math., XXVII (1974), pp. 87–100.

    Article  Google Scholar 

  20. Harper, J. F. Surface activity and bubble motion Appl. Sci. Res. 38 (1982), pp. 343–351.

    Article  MathSciNet  Google Scholar 

  21. Andrews, G.F., Fike, R. and Wong, S. Bubble hydrodynamics and mass transfer at high Reynolds number and surfactant concentration Chem. Engng. Sci., 43 (1988), pp. 1467–1477.

    Article  Google Scholar 

  22. Levan, M. and Newman, J. The effect of surfactant on the terminal and interfacial velocities of a bubble or drop. AICHE J., 22 (1976), pp. 695–701.

    Article  Google Scholar 

  23. Holbrook, J. A. & Levan, M. D. Retardation of Droplet Motion by Surfactant. Part II. Numerical solutions for exterior diffusion, surface diffusion, and adsorption kinetics. Chem. Eng. Commun., 20 (1983), pp. 273–290.

    Article  Google Scholar 

  24. Wang, Y. Theoretical study of bubble motion in surfactant solutions. Ph.D. Thesis, New Jersey Institute of Technology, 1999.

    Google Scholar 

  25. Wang, Y., Papageorgiou, D.T. and Maldarelli, Increased mobility of a surfactant retarded bubble at high bulk concentrations, J. Fluid Mech.,390 (1999), pp. 251270.

    Google Scholar 

  26. Wang, Y., Papageorgiou, D.T. and Maldarelli, C. Using surfactants to control the formation and size of wakes behind moving bubbles at order one Reynolds numbers, In preparation (1999).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer Science+Business Media Dordrecht

About this paper

Cite this paper

Papageorgiou, D.T., Maldarelli, C., Wang, Y. (2000). Mobility Control of Surfactant-Retarded Bubbles at Small and Order One Reynolds Numbers. In: Chang, HC. (eds) IUTAM Symposium on Nonlinear Waves in Multi-Phase Flow. Fluid Mechanics and Its Applications, vol 57. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1996-4_16

Download citation

  • DOI: https://doi.org/10.1007/978-94-017-1996-4_16

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5517-0

  • Online ISBN: 978-94-017-1996-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics