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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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