Skip to main content
Log in

Convective self-oscillations near an air-bubble surface in a horizontal rectangular channel

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

The concentration convection in an isothermal fluid near an air bubble clamped between the vertical walls of a horizontal channel with a rectangular cross-section is studied experimentally and numerically. The channel is filled with an aqueous solution of a surfactant with a nonuniform concentration. As a result of the competition between the gravitational convection in the cavity volume and the Marangoni convection near the bubble surface, an oscillation flow regime is established. This regime is observed experimentally over several hours. In the numerical experiment, the oscillations are obtained in the presence of an initial horizontal surfactant concentration gradient. Against the background of gravitational convection, short bursts of Marangoni convection with ten times greater intensity are observed. The convective flow patterns and the oscillation periods obtained experimentally and numerically are in fairly good agreement.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. N. O. Young, J. S. Goldstein, and M. J. Block, “The motion of bubbles in a vertical temperature gradient,” J. Fluid Mech., 6, No. 6, 350–356 (1959).

    Article  MATH  ADS  Google Scholar 

  2. Yu. K. Bratukhin, “Thermocapillary drift of a droplet of viscous liquid,” Fluid Dynamics, 10, No. 5, 833–837 (1975).

    Article  Google Scholar 

  3. S. R. Kosvintsev and D. G. Reshetnikov, “Droplet motion in the presence of soluble-surfactant diffusion into the external medium. Experiment,” Kolloid. Zh., 63, No. 3, 350–358 (2001).

    Google Scholar 

  4. Yu. K. Bratukhin, S. R. Kosvintsev, and S. O. Makarov, “Droplet motion in the presence of soluble-surfactant diffusion into the external medium. Theory,” Kolloid. Zh., 63, No. 3, 359–365 (2001).

    Google Scholar 

  5. Transport Processes in Drops, Bubbles, and Particles (Eds. R.P. Chhabra and D. de Kee), Hemisphere Publ. Corp., New York (1992).

    Google Scholar 

  6. R. S. Subramanian and R. Balaramaniam, TheMotion of Bubbles and Drops in Reduced Gravity, Cambridge Univ. Press, Cambridge, UK (2001).

    Google Scholar 

  7. J. Betz and J. Straub, “Numerical and experimental study of the heat transfer and fluid flow by thermocapillary convection around gas bubbles,” J. Heat Mass Transfer, 37, 215–227 (2001).

    Article  ADS  Google Scholar 

  8. A. L. Zuev and K. G. Kostarev, “Thermal and concentration Marangoni convection around an air bubble in a liquid,” Gidrodinamika, No. 14, Perm’ Univ. (2004), pp. 88–99.

  9. A. L. Zuev and K. G. Kostarev, “Concentration-capillary convection near the bubble surface in a horizontal layer of a nonuniform liquid solution,” in Convective Flows [in Russian], Perm’ Ped. Univ. (2003), pp. 123–139.

  10. K. G. Kostarev, A. L. Zuev, and A. Viviani, “Oscillatory Marangoni convection around the air bubble in a vertical surfactant stratification,” J. Comptes Rendus Mecanique, 332, No. 1, 1–7 (2004).

    Article  Google Scholar 

  11. Chemist’s Handbook (Ed. B.P. Nikol’skii) [in Russian], Khimiya, Leningrad (1962).

    Google Scholar 

  12. G. Vazquez, E. Alvarez, and J. M. Navaza, “Surface-tension of alcohol plus water from 20 to 50°C,” J. Chem. Eng. Data, 40, No. 3, 611–614 (1995).

    Article  Google Scholar 

Download references

Authors

Additional information

__________

Translated from Izvestiya Rossiiskoi Academii Nauk, Mekhanika Zhidkosti i Gaza, No. 4, 2006, pp. 30–38.

Original Russian Text Copyright © 2006 by Birikh, Zuev, Kostarev, and Rudakov.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Birikh, R.V., Zuev, A.L., Kostarev, K.G. et al. Convective self-oscillations near an air-bubble surface in a horizontal rectangular channel. Fluid Dyn 41, 514–520 (2006). https://doi.org/10.1007/s10697-006-0069-0

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10697-006-0069-0

Keywords

Navigation