Abstract
The hydrodynamic stability of a thermodiffusive interface in a near-supercritical fluid is studied. The Navier-Stokes equations written for a van der Waals gas above its critical point are solved by means of a finite volume numerical method. The growth rate of the fluctuations shows that there exists a cutoff wave number beyond which the short wavelengths are stabilized by diffusion. The good agreement between the obtained values and recent theories for miscible fluids confirms that a near-critical fluid subjected to a thermal gradient may develop a gravitational instability for which the density gradient is driven by thermal diffusion and large compressibility.
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REFERENCES
B. Zappoli, D. Bailly, Y. Garrabos, B. Le Neindre, P. Guenoun, and D. Beysens, Phys. Rev. A 41:2224 (1990).
A. Onuki, H. Hong, and R. A. Ferrel, Phys. Rev. A 41:2256 (1990).
H. Boukari, R. L. Pego, and R. W. Gammon, Phys. Rev. A 41:2260 (1990).
P. Guenoun, D. Beysens, B. Khalil, Y. Garrabos, B. Kammoun, B. Le Neindre, and B. Zappoli, Phys. Rev. E 47:1531 (1993).
B. Zappoli, S. Amiroudine, P. Carles, and J. Ouazzani, J. Fluid Mech. 316:53 (1996).
S. Amiroudine, P. Larroudé, P. Bontoux, and B. Zappoli, Proc. Second Eur. Symp. “Fluids in Space” (Naples, Italy, 1996).
F. Brochard and P. G. De Gennes, C. R. Acad. Sci. 318(II):27 (1994).
J. R. Authelin, F. Brochard, and P. G. De Gennes, C. R. Acad. Sci. 317(II):1539 (1993).
P. Kurowski, C. Misbah, and S. Tchourkine, Eur. Phys. Lett. 29:309 (1995).
D. H. Sharp, Physica D 12:3 (1984).
M. R. Moldover, J. V. Sengers, R. W. Gammon, and R. J. Hocken, Rev. Mod. Phys. 51:79 (1979).
S. V. Patankar, Numerical Heat Transfer and Fluid Flow (Hemisphere, New York, 1980).
S. Amiroudine, Modélisation numérique des phénomènes de transport de chaleur et de masse dans les fluides supercritiques, Ph.D. dissertation (Institut de Recherche sur les Phénomènes Hors-Equilibre, Marseille, 1995).
B. Zappoli and P. Carles, Physica D 89:381 (1996).
F. Renaud and S. Gauthier, personal communication (1995).
S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Clarendon Press, Oxford, 1961).
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Zappoli, B., Amiroudine, S. & Gauthier, S. Rayleigh–Taylor-Like Instability in Near-Critical Pure Fluids. International Journal of Thermophysics 20, 257–265 (1999). https://doi.org/10.1023/A:1021459020624
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DOI: https://doi.org/10.1023/A:1021459020624