Skip to main content
Log in

Liquid surface oscillations in a viscous liquid column induced by temperature fluctuations

  • Published:
Forschung im Ingenieurwesen A Aims and scope Submit manuscript

Abstract

It was found that timewise fluctuating temperature gradients induce, due to the variation of the surface tension, oscillations of the free surface of a liquid column, which may in or close to resonance lead to large amplitudes, able to disingtegrate the liquid system. An analytical solution leading to the magnification functions and their phases is presented for an arbitrary angular temperature 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.

Similar content being viewed by others

References

  1. Proceedings of the Third Space Processing Symposium, Skylab Results. NASA-Report M.75.5, April 30-May 1, 1974, Marshall Space Flight Center, Alabama, USA 35812.

  2. Carruthers, J.R., E.G. Gibson, M.G. Klett, andB.R. Facemire: Studies of rotating liquid floating zones on skylab IV. AIAA-Paper No. 75-692, AIAA 10th Thermophysics Conference Denver, Colorado/May 1975.

  3. Chun, Ch.-H.: Marangoni convection in a floating zone under reduced gravity. J. Crystal Growth Vol. 48 (1980) pp. 600/10.

    Google Scholar 

  4. Wuest, W.: Fluid dynamics of a floating zone. Proc. Second European Symposium on Material Sciences in Space, Frascati/Italy, April 6–8, 1976, ESA-SP-114 (Sept. 1976) pp. 456/65.

    Google Scholar 

  5. Chang, C.E., andW.R. Wilcox: Inhomogeneities due to thermocapillary flow in floating zone melting. J. Crystal Growth Vol. 28 (1975) pp. 8/12.

    Google Scholar 

  6. Chang, C.E., andW.R. Wilcox: Analysis of surface tension driven flow in floating zone melting. Internat. J. Heat Mass Transfer Vol. 19 (1976) pp. 355/66.

    Article  Google Scholar 

  7. Schwabe, D., A. Scharmann, F. Preisser, andR. Oeder: Experiments on surface tension driven flow in floating zone melting. J. Crystal Growth Vol. 43 (1978) pp. 305/12.

    Google Scholar 

  8. Carruthers, J.R., andM. Grasso: Studies of floating liquid zones in simulated zero gravity. J. Appl. Phys. Vol. 43 (1972) No. 2, pp. 436/45.

    Google Scholar 

  9. Bauer, H.F.: Velocity distribution due to thermal Marangoni-effect in a liquid column under zero-gravity environment. ZAMM Vol. 62 (1982) pp. 471/82.

    Google Scholar 

  10. Bauer, H.F.: Velocity distribution due to Marangoni-effect according to angular temperature distribution along a circular infinite cylindrical liquid bridge under weightless condition. Forsch. Ing.-Wes. Vol. 48 (1982) Nr. 2, S. 50/55.

    Google Scholar 

  11. Bauer, H.F.: Marangoni-effect velocity distribution due to time-oscillatory temp. gradients. Acta Mech. (to appear).

  12. Bauer, H.F.: Gekoppelte Schwingungen einer rotierenden Flüssigkeitsbrücke aus nichtmischbaren Flüssigkeiten. Acta Astronautica (to appear).

  13. Bauer, H.F.: Natural damped frequencies of an infinitely long column of immiscible viscous liquids. Part II: Three-dimensional case. Forschungsber. HSBw: LRT-WE-9-FB-1 (1982).

  14. Bauer, H.F.: Freie Schwingungen nichtmischbarer Flüssigkeiten im rotierenden Kreiszylinder unter Berücksichtigung der Oberflächenspannungen. Forsch. Ing.-Wes. Vol. 47 (1981) No. 6, pp. 190/98.

    Article  Google Scholar 

  15. Bauer, H.F.: Natural damped frequencies of an infinitely long column of immiscible viscous liquids. Part I: Two-dimensional and axisymmetric case. Forschungsber. HSBw: LRT-WE-9-FB-2 (1982).

  16. Lord Rayleigh: On the instability of cylindrical fluid surfaces. Phil. Mag. XXXIV (1892) pp. 177/88.

    Google Scholar 

  17. Lamb, H.: Hydrodynamics. New York: Dover Publ. 1945, pp. 471/73.

    Google Scholar 

  18. Chun, Ch.-H., andW. Wuest: Experiments on the transition from steady to the oscillatory Marangoni convection of a floating zone under reduced gravity effect. Acta Astronautica Vol. 6 (1979) pp. 1073/82.

    Article  Google Scholar 

  19. Schwabe, D., andA. Schrmann: Some evidence for the existence and magnitude of a critical Marangoni number for the on-set of oscillatory flow in crystal growth melts. J. Crystal Growth Vol. 46 (1979) pp. 125/31.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bauer, H.F. Liquid surface oscillations in a viscous liquid column induced by temperature fluctuations. Forsch Ing-Wes 49, 58–65 (1983). https://doi.org/10.1007/BF02558386

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02558386

Keywords

Navigation