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Instabilities of Dynamic Thermo- and Solutocapillary Liquid Layers

  • Gunar Schmidt
  • Hendrik C. Kuhlmann
  • Hans J. Rath
Conference paper

Abstract

The variation of the surface tension with temperature and concentration constitutes a driving mechanism known as Marangoni convection. We study a coupled thermo- and solutocapillary surface-tension-driven shear flow in an unbounded plane layer. The basic flow can be calculated analytically. The stability of the flow is investigated by a linear analysis. Results are presented for some special contributions and for Pr = 1 and Sc = 100.

Keywords

Prandtl Number Basic Flow Schmidt Number Linear Stability Analysis Marangoni Number 
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References

  1. 1.
    M. K. Smith and S. H. Davis: J. Fluid Mech., 132 (1983)Google Scholar
  2. 2.
    L. D. Landau and E. M. Lifshitz: Fluid mechanics. Pergamon Press, New York (1959)Google Scholar
  3. 3.
    H. C. Kuhlmann: Thermocapillary Convection in Models of Crystal Growth. Vol. 152 of Springer Tracts in Modern Physics, Springer, Berlin, Heidelberg (1999)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Gunar Schmidt
    • 1
  • Hendrik C. Kuhlmann
    • 1
  • Hans J. Rath
    • 1
  1. 1.Center of Applied Space Technology and Microgravity ZARMUniversity of BremenBremenGermany

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