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

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Abstract

The neutral-stability analysis presented by Hoefsloot et al. [3] is completed by computing the growth factorsβ 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).

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References

  1. Abramowitz, M. and Stegun, I.A.,Handbook of Mathematical Functions. New York: Dover Publications (1965).

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  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.

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  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.

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  4. Vidal, A. and Acrivos, A., Nature of the neutral state in surface tension driven convection.Phys. Fluids 9 (1966) 615–616.

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Author notes

  1. H. C. J. Hoefsloot

    Present address: Department of Chemical Engineering, University of Amsterdam, Amsterdam, The Netherlands

Authors and Affiliations

  1. Department of Chemical Engineering, University of Groningen, Groningen, The Netherlands

    H. C. J. Hoefsloot & L. P. B. M. Janssen

  2. Department of Mathematics, University of Groningen, Groningen, The Netherlands

    H. W. Hoogstraten & J. W. Knobbe

Authors
  1. H. C. J. Hoefsloot
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  2. H. W. Hoogstraten
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  3. L. P. B. M. Janssen
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  4. J. W. Knobbe
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Hoefsloot, H.C.J., Hoogstraten, H.W., Janssen, L.P.B.M. et al. Growth factors for Marangoni instability in a spherical liquid layer under zero-gravity conditions. Appl. Sci. Res. 49, 161–173 (1992). https://doi.org/10.1007/BF02984176

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  • DOI: https://doi.org/10.1007/BF02984176

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