A compressible mixture model with phase transition

作者：Dreyer Wolfgang; Giesselmann Jan^*; Kraus Christiane

来源：Physica D: Nonlinear Phenomena , 2014, 273: 1-13.

DOI：10.1016/j.physd.2014.01.006

• Multi-component flow
• Phase transition
• Asymptotic analysis
• Sharp interface limit
• Free boundary problems
• Allen-Cahn equation

We introduce a new thermodynamically consistent diffuse interface model of Allen-Cahn/Navier-Stokes type for multi-component flows with phase transitions and chemical reactions. For the introduced diffuse interface model, we investigate physically admissible sharp interface limits by matched asymptotic techniques. We consider two scaling regimes, i.e. a non-dissipative and a dissipative regime, where we recover in the sharp interface limit a generalized Allen-Cahn/Euler system for mixtures with chemical reactions in the bulk phases equipped with admissible interfacial conditions. The interfacial conditions satisfy, for instance, a Young-Laplace and a Stefan type law.

• 出版日期2014-4-15