JournalsifbVol. 13, No. 2pp. 239–254

Interface conditions for limits of the Navier–Stokes–Korteweg model

  • Katharina Hermsdörfer

    Universität Freiburg, Germany
  • Christiane Kraus

    Weierstrass Institut für Angewandte Analysis und Stochastik, Berlin, Germany
  • Dietmar Kröner

    Universität Freiburg, Germany
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Abstract

We study the behaviour of the pressure across phase boundaries in liquid-vapour flows. As mathematical model, we consider the static version of the Navier–Stokes–Korteweg model, which belongs to the class of diffuse interface models. From this static equation, a formula for the pressure jump across the phase interface can be derived. If we perform the sharp interface limit, we see that the resulting interface condition for the pressure seems to be inconsistent with classical results of hydrodynamics. Therefore we will present two approaches to recover the results of hydrodynamics in the sharp interface limit at least for special situations.

Cite this article

Katharina Hermsdörfer, Christiane Kraus, Dietmar Kröner, Interface conditions for limits of the Navier–Stokes–Korteweg model. Interfaces Free Bound. 13 (2011), no. 2, pp. 239–254

DOI 10.4171/IFB/256