A quasi-incompressible diffuse interface model with phase transition
A quasi-incompressible diffuse interface model with phase transition
复制标题
DOI：
10.1142/s0218202513500693
复制
发表时间：
2012-09
影响因子：
3.5
通讯作者：
Gonca L. Aki;W. Dreyer;J. Giesselmann;C. Kraus
中科院分区：
文献类型：
--
作者：
Gonca L. Aki;W. Dreyer;J. Giesselmann;C. Kraus
这项工作为不可压缩流体的双组分流引入了一种新的热力学一致扩散模型。对于引入的扩散界面模型，我们通过匹配的渐近技术研究了物理上可接受的尖锐界面限制。为此，我们考虑两种缩放方案，在一种情况下，我们恢复欧拉方程，在另一种情况下，我们恢复具有允许界面条件的体相中的纳维-斯托克斯方程。对于纳维-斯托克斯体系，我们进一步假设流体的密度在与扩散模型的界面厚度相关的小参数意义上彼此接近。
This work introduces a new thermodynamically consistent diffuse model for two-component flows of incompressible fluids. For the introduced diffuse interface model, we investigate physically admissible sharp interface limits by matched asymptotic techniques. To this end, we consider two scaling regimes where in one case we recover the Euler equations and in the other case the Navier–Stokes equations in the bulk phases equipped with admissible interfacial conditions. For the Navier–Stokes regime, we further assume the densities of the fluids are close to each other in the sense of a small parameter which is related to the interfacial thickness of the diffuse model.