Skip to main content
Log in

Thermocapillary Liquid Bridges and Marangoni Convection under Microgravity—Results and Lessons Learned

  • Original Article
  • Published:
Microgravity Science and Technology Aims and scope Submit manuscript

Abstract

We describe the first measurements of the critical Marangoni number of thermocapillary flow in liquid bridges under microgravity. The experiments were conducted during the ballistic flight of rockets with small liquid bridges established by melting the equivalent cylindrical rod of solid sodium nitrate under microgravity. Fine thermocouples in the melt indicated the onset of flow oscillations by the increase of temperature oscillations. The critical Marangoni number M a c was measured to be approximately 1·104 for Prandtl number P r = 9. This type of experiment was especially simple, effective and suitable for execution during the short microgravity–time available during sounding rockets flights. The lessons learned from these experiments have been collected. In a second part of this paper we review five more sophisticated microgravity experiments in sounding rockets in which the surface tension driven flow was visualized by tracers and suitable illumination. Two experiments are devoted to the very first demonstration of the classical cellular Bénard-Marangoni instability of thin liquid layers with free surface, heated from below. We could demonstrate in another experiment chaotic thermocapillary flow in a cubic cuvette filled with oil up to a flat free surface. Two experiments dealt with liquid bridges (LBs); in one the LB was nearly as long as possible at all. Here we could observe the helical nature of the hydrothermal wave in the geometry of the LB and measured a much smaller critical Marangoni number than in the short liquid bridges on ground. In the other experiment we investigated particle accumulation structures (PAS) and could show that PAS develops independently from gravity forces though it was indicated that gravity has an influence on PAS–formation by changing the flow field.

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.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

References

  • Bénard, H.: Les tourbillons cellulaires dans une nappe liquide. Rev. Gén. Sci. Pure Appl. 11, 1261–1271 (1900)

    Google Scholar 

  • Chang, Ch.E., Wilcox, W.R.: Inhomogeneities due to thermocapillary flow in float zone melting. J. Crystal Growth 28, 8–12 (1975)

    Article  Google Scholar 

  • Chun, Ch.-H.: Berechnung des Ein usses elektromagnetischer Krfte auf Strmungsvorgnge in Schmelzen. Vortrag Nr. 10, Statusseminar Spacelab-Nutzung Werkstoff-Forschung und Verfahrenstechnik 06.-08. 1976, Bad Kissingen, ISBN 3-88135-038-1 (1976)

  • Croell, A., Müller-Seibert, K., Benz, K.W., Nitsche, R.: Natural and thermocapillary convection in partially confined silicon melt zones. Microgravity Sci. Technol. 3, 204–215 (1991)

    Google Scholar 

  • Eyer, A., Leiste, H., Nitsche, R.: Floating zone growth of silicon and microgravity in a sounding rocket. J. Crystal Growth 71, 173–182 (1985)

    Article  Google Scholar 

  • Frank, S., Schwabe, D.: Temporal and spatial elements of thermocapillary convection in floating zones. Exp. Fluids 23, 234–251 (1997)

    Article  Google Scholar 

  • Grodzka, P.G., Bannister, T.C.: Heat flow and convection demonstration Experiments Aboard Apollo 14. Science 176, 506–508 (1972)

    Article  Google Scholar 

  • Grodzka, P.G., Bannister, T.C.: Heat flow and convection demonstration Experiments Aboard Apollo 17. Science 187, 165–167 (1975)

    Article  Google Scholar 

  • Hofmann, E., Kuhlmann, H.C.: Particle accumulation on periodic orbits by repeated free surface collisions. Phys. Fluids 23, 072106 (2011)

    Article  Google Scholar 

  • Koschmieder, E.L.: Private communication (1990)

  • Lubimov, D.V., Lubimova, T.P., Straube, A.V.: Understanding the role inertia of the particls in PAS-formation. Microgravity Sci. Technol. 14, 210 (2005)

    Article  Google Scholar 

  • Melnikov, D.E., Pushkin, D., Shevtsova, V.: Synchronization of finite-size particles by a traveling wave in a cylindrical flow. Phys. Fluids 25, 092108 (2013)

    Article  Google Scholar 

  • Metzger, J., Schwabe, D., Cramer, A., Scharmann, A.: Marangoni convection in a rectangular open cavity in microgravity. ESA SP 1132 4, 60–70 (1994)

    Google Scholar 

  • Pearson, J.R.: On convection cells induced by surface tension. J. Fluid Mech 4, 489–500 (1958)

    Article  MATH  Google Scholar 

  • Preisser, F., Schwabe, D., Scharmann, A.: Steady and oscillatory thermocapillary convection in liquid columns with free cylindrical surface. J. Fluid Mech. 126, 545–567 (1983)

    Article  Google Scholar 

  • Pushkin, D., Melnikov, D.E., Shevtsova, V.M.: Ordering of small particles in one-dimensional coherent structures by time-periodic flows. Phys. Rev. Lett. 23, 234501 (2011)

    Article  Google Scholar 

  • Rosenblat, S., Homsy, G.M., Davis, S.H.: Non-linear Marangoni convection in bounded layers. Part 1. Circular cylindrical containers. J. Fluid Mech. 120, 91–122 (1982)

    Article  MATH  MathSciNet  Google Scholar 

  • Schwabe, D.: The Bénard-Marangoni-Instability in small circular containers under microgravity: experimental results. Adv. Space Res. 24, 1347–1356 (1999)

    Article  MathSciNet  Google Scholar 

  • Schwabe, D.: Unpublished experiments (2000)

  • Schwabe, D.: Hydrothermal waves in a liquid bridge with aspect ratio near the Rayleigh-limit under microgravity. Phys. Fluids 17, 112104–1 to -8 (2005)

    Google Scholar 

  • Schwabe, D.: Marangoni convection in small circular containers under microgravity. Exp. Fluids 40, 942–950 (2006)

    Article  Google Scholar 

  • Schwabe, D., Scharmann, A.: Some evidence for the existence and magnitude of a critical Marangoni number for the onset of oscillatory flow in crystal growth melts. J. Crystal Growth 46, 125–131 (1979)

    Article  Google Scholar 

  • Schwabe, D., Scharmann, A.: Messung der kritischen Marangonizahl für den übergang von stationärer zu oszillatorischer thermokapillarer konvektion unter Mikrogravitation: Ergebnisse der Experimente in den ballistischen Raketen TEXUS 5 und TEXUS 8. Z. Flugwiss. Weltraumtechnik 9, 21–28 (1985)

    Google Scholar 

  • Schwabe, D., Frank, S.: Experiments on the transition to chaotic thermocapillary flow in floating zones under microgravity. Adv. Space Res. 24, 1391–1396 (1999)

    Article  Google Scholar 

  • Schwabe, D., Scharmann, A., Preisser, F., Oeder, R.: Experiments on surface tension driven flow in floating zone melting. J. Crystal Growth 43, 305–312 (1978)

    Article  Google Scholar 

  • Schwabe, D., Preisser, F., Scharmann, A.: Instabile Marangonikonvektion unter Mikrogravitation. Z. Flugwiss Weltraumtechnik 9, 309–315 (1982a)

    Google Scholar 

  • Schwabe, D., Scharmann, A., Preisser, F.: Studies of Marangoni convection in floating zones. Acta Astronautica 9, 183–186 (1982b)

    Article  Google Scholar 

  • Schwabe, D., Velten, R., Scharmann, A.: The instability of surface tension driven flows in models for floating zones under normal and reduced gravity. J. Crystal Growth 99, 1258–1264 (1990)

    Article  Google Scholar 

  • Schwabe, D., Hintz, P., Frank, S.: New features of thermocapillary convection in floating zones revealed by particle accumulation structures (PAS). Microgravity Sci. Technol. 9, 163–168 (1996)

    Google Scholar 

  • Schwabe, D., Tanaka, S., Mizev, A., Kawamura, H.: Particle accumulation structures in time-dependent thermocapillary flow in a liquid bridge under Microgravity. Microgravity Sci. Technol. 18, 117–127 (2006)

    Article  Google Scholar 

  • Schwabe, D., Mizev, A.I., Udhayasankar, M., Tanaka, S.: Formation of dynamic particle accumulation structures in oscillatory thermocapillary flow in liquid bridges. Phys. Fluids 19, 072102 (2007)

    Article  Google Scholar 

  • Velten, R., Schwabe, D., Scharmann, A.: The periodic instability of thermocapillary flow in cylindrical liquid bridges. Phys. Fluids A3, 267–279 (1991)

    Article  Google Scholar 

  • Xu, J.J., Davis, S.H.: Convective thermocapillary instabilities in liquid bridges. Phys. Fluids 27, 1102–1107 (1984)

    Article  MATH  Google Scholar 

  • Yano, T., Ueno, I., Kawamura, H., Nishino, K., Matsumoto, S., Onishi, M., Sakurai, M.: Space experiment on the instability of Marangoni convection in large liquid bridge-MEIS-4: effect of Prandtl number. J. Phys. Conf. Ser. 327, 012029 (2011)

    Article  Google Scholar 

  • Yano, T., Ueno, I., Kawamura, H., Nishino, K., Matsumoto, S., Onishi, M., Sakurai, M.: Space experiments on the instability of Marangoni convection in liquid bridge-MEIS-3: effect of volume ratio and observation of PAS. Space Utilization Research 28, 1–2 (2012). (Proc. 28th Symp. Space Utilization Research (Jan. 23rd – 24th, 2012, Tokyo))

    Google Scholar 

Download references

Acknowledgments

This work was only possible due to the continuous financial support and the flight opportunities provided and paid by the German Ministry for Research and Technology (BMFT) and by the European Space Agency (ESA). The professional cooperation with ERNO (Trauen, Germany), now Astrium Space, in the construction and carrying-through the flight experiments is gratefully acknowledged.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Dietrich Schwabe.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Schwabe, D. Thermocapillary Liquid Bridges and Marangoni Convection under Microgravity—Results and Lessons Learned. Microgravity Sci. Technol. 26, 1–10 (2014). https://doi.org/10.1007/s12217-014-9358-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12217-014-9358-0

Keywords

Navigation