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Influence of Thermocapillarity on the Oscillatory Convection in Low Pr Fluids

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Numerical Simulation of Oscillatory Convection on Low-Pr Fluids

Part of the book series: Notes on Numerical Fluid Mechanics (NNFM) ((NNFM,volume 27))

Summary

The numerical method used in this work is the ADI finite differences method on a regular rectangular grid. Results for requested cases with a free upper surface are in agreement with those from other contributors. The additional contribution concerns the thermocapillary effect since this effect cannot be neglected in experiments, like in molten gallium. The influence of thermocapillarity on the onset of oscillatory convection and the flow patterns of supercritical oscillatory states are discussed.

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References

  1. HURLE, D.T.J., JAKEMAN, E., JOHNSON, C.P.: “Convective temperature oscillations in molten gallium”, J. Fluid Mech., 64 (1974) pp.565–576.

    Article  ADS  Google Scholar 

  2. VILLERS, D., PLATTEN, J.K.: “Separation of Marangoni convection from gravitational convection in earth experiments”, PhysicoChemical Hydrodynamics, 8(2) (1987) pp. 173–183.

    ADS  Google Scholar 

  3. CUVELIER, C., DRIESSEN, J.M.: “Thermocapillary free boundaries in crystal growth”, J. Fluid Mech, 169 (1986) pp. 1–26.

    Article  ADS  MATH  Google Scholar 

  4. SCHWABE, D: “Surface-Tension-Driven Flow in Crystal Growth Melts”, in “Crystals”, Springer-Verlag, West Berlin 1987.

    Google Scholar 

  5. PEACEMAN, D.W., RACHFORD, H.H.: “The numerical solution of parabolic and elliptic differential equation”, J. Soc. Indust. Appl. Math., 3(1) (1955) pp. 28–41.

    MathSciNet  MATH  Google Scholar 

  6. DE VAHL DAVIS, G., JONES, LP.: “Natural convection in a square cavity: a comparison exercise”, Int. J. Numer. Methods Fluids, 3 (1983) pp. 227–248.

    Article  ADS  MATH  Google Scholar 

  7. DE VAHL DAVIS, G.: “Natural convection of air in a square cavity: a bench mark numerical solution”, Int. J. Numer. Methods Fluids, 3 (1983) pp. 249–264

    Article  ADS  MATH  Google Scholar 

  8. SCRIVEN, L.E.: “Dynamics of a fluid interface”, Chem. Engng. Sci., 12 (1960) pp. 98–108.

    Article  Google Scholar 

  9. CHANG, C.E., WILCOX, W.R.: “Inhomogeneities due to thermocapillary flow in floating zone melting”, J. Crystal Growth, 28 (1975) pp. 8–12.

    Article  ADS  Google Scholar 

  10. CROCHET, M.J., GEYLING, F.T., VAN SCHAFTINGEN, J.J.: “Numerical simulation of the horizontal Bridgman growth of a gallium arsenide crystal”, J. Crystal Growth, 65 (1983) pp. 166–172.

    Article  ADS  Google Scholar 

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© 1990 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig

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Villers, D., Platten, J.K. (1990). Influence of Thermocapillarity on the Oscillatory Convection in Low Pr Fluids. In: Roux, B. (eds) Numerical Simulation of Oscillatory Convection on Low-Pr Fluids. Notes on Numerical Fluid Mechanics (NNFM), vol 27. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-87877-9_15

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  • DOI: https://doi.org/10.1007/978-3-322-87877-9_15

  • Publisher Name: Vieweg+Teubner Verlag

  • Print ISBN: 978-3-528-07628-3

  • Online ISBN: 978-3-322-87877-9

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