Interface conditions for limits of the Navier–Stokes–Korteweg model
Interface conditions for limits of the Navier–Stokes–Korteweg model
复制标题
Navier-Stokes-Korteweg 模型极限的界面条件
DOI：
10.4171/ifb/256
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发表时间：
2011
影响因子：
1
通讯作者：
D. Kröner
中科院分区：
文献类型：
--
作者：
Katharina Hermsdörfer;C. Kraus;D. Kröner
我们研究了液蒸气流动中跨相界面的压力行为。作为数学模型，我们考虑了静态版本的Navier-Stokes-Korteweg模型，它属于扩散界面模型的一类。从这个静态方程出发，可以推导出跨相界面的压力跳跃公式。如果我们执行尖锐的界面极限，我们会看到得到的压力的界面条件似乎与流体力学的经典结果不一致。因此，我们将提供两种方法来恢复至少在特殊情况下的尖锐界面极限的流体动力学结果。
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.