WIAS Preprint No. 899, (2004)

A model for two phase flow with evaporation


  • Krahl, Rolf
  • Adamov, Miroslav
  • Lozano Aviles, Miriam
  • Bänsch, Eberhard
    ORCID: 0000-0003-2743-1612

2010 Mathematics Subject Classification

  • 80A20 76T10 76D05


  • evaporation, two phase flow, free capillary surface, phase change, model




The dynamic behavior of a free gas--liquid phase boundary is often influenced by evaporation or condensation to an extend that may not be neglected. In this paper, we derive a general model for the dynamics of a two phase flow with evaporation, starting from the balance of mass, energy, and momentum. The model takes into account that the gas phase might consist of a mixture of vapor and inert gas. It is based on the incompressible Navier--Stokes equations in the bulk of the liquid and the gas phase, convection--diffusion equations for heat and vapor, and appropriate conditions for the transfer of mass, momentum, and energy through the phase boundary. As a simplification, the flow field in the liquid and gaseous phase can be decoupled, if the stress from the gas phase on the free surface is neglected. The special case of a gas phase containing only pure vapor is considered, which allows one to neglect the gas phase completely, leading to a single phase flow problem with a free boundary.

Appeared in

  • G. P. Celata, P. Di Marco, A. Mariani, and R. K. Shah, eds., Two-Phase Flow Modelling and Experimentation 2004. Edizioni ETS, Pisa, 2004.

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