Applied Scientific Research

, Volume 49, Issue 1, pp 161–173 | Cite as

Growth factors for Marangoni instability in a spherical liquid layer under zero-gravity conditions

  • H. C. J. Hoefsloot
  • H. W. Hoogstraten
  • L. P. B. M. Janssen
  • J. W. Knobbe
Article

Abstract

The neutral-stability analysis presented by Hoefsloot et al. [3] is completed by computing the growth factors β for the normal modes and by showing that the neutral states (Re(β)=0) are stationary (Im(β)=0) rather than oscillatory (Im(β)≠0).

Keywords

Growth Factor Normal Mode Neutral State Liquid Layer Marangoni Instability 
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References

  1. 1.
    Abramowitz, M. and Stegun, I.A.,Handbook of Mathematical Functions. New York: Dover Publications (1965).Google Scholar
  2. 2.
    Hoefsloot, H.C.J., Hoogstraten, H.W., Hoven, A. and Janssen, L.P.B.M., Marangoni instability in a liquid layer bounded by two coaxial cylinder surfaces.Applied Sci. Research 47 (1990) 1–21.Google Scholar
  3. 3.
    Hoefsloot, H.C.J., Hoogstraten, H.W. and Janssen, L.P.B.M., Marangoni instability in a liquid layer confined between two concentric spherical surfaces under zero-gravity conditions.Applied Sci. Research 47 (1990) 357–377.Google Scholar
  4. 4.
    Vidal, A. and Acrivos, A., Nature of the neutral state in surface tension driven convection.Phys. Fluids 9 (1966) 615–616.Google Scholar

Copyright information

© Kluwer Academic Publishers 1992

Authors and Affiliations

  • H. C. J. Hoefsloot
    • 1
  • H. W. Hoogstraten
    • 2
  • L. P. B. M. Janssen
    • 1
  • J. W. Knobbe
    • 2
  1. 1.Department of Chemical EngineeringUniversity of GroningenGroningenThe Netherlands
  2. 2.Department of MathematicsUniversity of GroningenGroningenThe Netherlands

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