论文标题
具有相变的多相流系统的能量变异方法
Energetic variational approaches for multiphase flow systems with phase transition
论文作者
论文摘要
我们从充满活力的角度研究了导体颗粒在空气水界面附近的运动方程。由于蒸发和冷凝现象发生在界面处，因此我们必须考虑相变。本文将一种能量变异方法应用于具有相变的多相流系统，其中多相流意味着可压缩且不可压缩的两相流。我们还研究系统的保护和能源定律。得出我们系统的关键思想是要承认界面的存在并采用充满活力的变分方法。更确切地说，我们假设表面张力的系数和界面的密度都是常数，并且我们采用能量变异方法来寻找具有相变的多相流系统密度的显性方程。作为应用程序，我们可以得出通常的Euler和Navier-Stokes Systems，或通过我们的方法进行表面张力的两相流量系统。
We study the governing equations for the motion of the fluid particles near air-water interface from an energetic point of view. Since evaporation and condensation phenomena occur at the interface, we have to consider phase transition. This paper applies an energetic variational approach to derive multiphase flow systems with phase transition, where a multiphase flow means compressible and incompressible two-phase flow. We also research the conservation and energy laws of our system. The key ideas of deriving our systems are to acknowledge the existence of the interface and to apply an energetic variational approach. More precisely, we assume that both the coefficient of surface tension and the density of the interface are constants, and we apply an energetic variational approach to look for the dominant equations for the densities of our multiphase flow systems with phase transition. As applications, we can derive the usual Euler and Navier-Stokes systems, or a two-phase flow system with surface tension by our methods.
