Skip to main content
Log in

Thermocapillary flow without return flow–linear flow

  • Original
  • Published:
Experiments in Fluids Aims and scope Submit manuscript

Abstract

The experimental realization of thermocapillary flow without return flow is reported. This type of flow (linear flow) was proposed and analyzed theoretically by Smith and Davis (J. Fluid Mech., 132:119–144, 1983). We suppressed the return flow by providing channels and side channels with lower flow resistance compared to that of the return flow. Cooling the layer with linear flow from above results in the Marangoni instability of longitudinal rolls as the most dangerous mode. Strong linear flow stabilizes the system against longitudinal rolls. We report preliminary results on the threshold and on the wavelength of the longitudinal rolls.

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. 1a, b
Fig. 2a, b
Fig. 3 a
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

References

  • Bénard H (1900) Les tourbillons celluaires dans une nappe liquide. Rev Gén Sci 1309–1328

  • Bell SH (1952) Pigment flotation in paints: a dynamic phenomenon. J Oil Colour Chem Assoc 35:373–395

    CAS  Google Scholar 

  • Berg JC, Acrivos A, Boudart M (1966) Evaporative convection. Adv Chem Eng 6:61–123

    CAS  Google Scholar 

  • Cramer A (1994) Marangoni-Effekte an flachen Flüssigkeitsschichten unter Berücksichtigung realer Randbedingungen. Dissertation D26, Universität Giessen

  • Davis SH (1987) Thermocapillary instabilities. Annu Rev Fluid Mech 19:403–435

    Article  Google Scholar 

  • Grodzka PG, Bannister TC (1975) Heat flow and convection demonstration experiments aboard Apollo 14. Science 187:165–167

    Google Scholar 

  • Kenning DBR (1968) Two-phase flow with nonuniform surface tension. Appl Mech Rev 21:1101–1111

    Google Scholar 

  • Koschmieder EL (1974) Bénard convection. Adv Chem Phys 26:177–212

    Google Scholar 

  • Koschmieder EL (1993) Bénard cells and Taylor vortices. Cambridge University Press, Cambridge

  • Kuhlmann H (1998) Thermocapillary convection in models of crystal growth. Springer Tracts in Modern Physics, Vol. 152

  • Kurosawa T, Ueno I, Kawamura H (2002) Thermocapillary driven convection in a thin liquid layer with an inclined temperature gradient in linear and return flow fields. Bull Am Phys Soc 47(10):126

    Google Scholar 

  • Nepomnyashchy AA, Simanovskii IB, Braverman LM (2001) Stability of thermocapillary flows with inclined temperature gradient. J Fluid Mech 442:141–155

    Article  Google Scholar 

  • Nield DA (1964) Surface tension and buoyancy effects in cellular convection. J Fluid Mech 19:341–352

    Google Scholar 

  • Normand C, Pomeau Y, Velarde MG (1977) Convective instability: a physicist’s approach. Rev Mod Phys 49:581–624

    Article  Google Scholar 

  • Ostrach S (1982) Low gravity fluid flows. Annu Rev Fluid Mech 19:313–345

    Article  Google Scholar 

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

    Google Scholar 

  • Pline A (1988) Surface temperature measurements for the surface tension driven convection experiment. NASA Technical Memorandum 101353

  • Schatz MF, Neitzel GP (2001) Experiments on thermocapillary instabilities. Annu Rev Fluid Mech 33:93–129

    Article  Google Scholar 

  • Schwabe D (1988) Surface-tension-driven flow in crystal growth melts. In: Freyhardt HC (ed.) Crystals, vol 11. Springer, Berlin Heidelberg New York, pp 75–112

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

    Article  CAS  Google Scholar 

  • Schwabe D (2000) Raum-zeitliche Strukturen thermokapillarer Strömung in Halbzonen unter Schwerelosigkeit: Experimentelle Ergebnisse und Perspektiven. In: Keller MH, Sahm PR (eds) Bilanzsymposium FuW 1998, Norderney. WPF der RWTH, Aachen, pp 80–93

  • Schwabe D, Dupont O, Queckers P, Legros JC (1990) Experiments on Marangoni–Bénard problems under normal and microgravity conditions. In: Proceedings of the Seventh European Symposium on Materials and fluid science in microgravity. European Space Agency Special Publication 295. ESA, The Hague, pp 291–298

  • Schwabe D, Sim BC, Zebib A (2003) Oscillatory thermocapillary convection in open cylindrical annuli. Part 1. Experiments under microgravity. J Fluid Mech 491:239–258

    Article  Google Scholar 

  • Scriven LE, Sternling CV (1960) The Marangoni effects. Nature 187:186–188

    Google Scholar 

  • Sim BC, Zebib A, Schwabe D (2003) Oscillatory thermocapillary convection in open cylindrical annuli. Part 2. Simulations. J Fluid Mech 491:259–274

    Article  Google Scholar 

  • Smith MK, Davis SH (1983) Instabilities of dynamic thermocapillary layers. Part 1. Convective instabilities. J Fluid Mech 132:119–144

    CAS  Google Scholar 

  • Tatsukawa H, Ueno I, Kawamura H (1999) Marangoni convection in liquid film subjected to inclined temperature gradient. J Japan Soc Micrograv Appl 16(Suppl.):94–95

    Google Scholar 

Download references

Acknowledgements

The experiments were performed at the University of Giessen by N.A. Ospennikov during a DAAD-supported 3-month stay in Germany at the beginning of 2003. We thank ESTEC (Antonio Verga) for the loan of the IR camera. We are grateful to Ichiro Ueno from the Tokio Science University and especially to M.K. Smith from Georgia Institute of Technology in Atlanta for reading the manuscript and improving it by helpful remarks.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to D. Schwabe.

Additional information

Dedicated to Prof. Dr. Wilfried Kuhn on the occasion of his 80th birthday.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ospennikov, N.A., Schwabe, D. Thermocapillary flow without return flow–linear flow. Exp Fluids 36, 938–945 (2004). https://doi.org/10.1007/s00348-003-0777-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00348-003-0777-8

Keywords

Navigation