Analysis of compressible bubbly flows. Part I: construction of a microscopic model

被引：1
|
作者：
Hillairet, Matthieu [1 ]
Mathis, Helene [1 ]
Seguin, Nicolas [2 ,3 ]
机构：
[1] Univ Montpellier, Inst Montpellierain Alexander Grothendieck, CNRS, Montpellier, France
[2] Univ Montpellier, INRIA, CNRS, Montpellier, France
[3] Univ Montpellier, Inst Montpellierain Alexander Grothendieck, CNRS, Montpellier, France
来源：
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS | 2023年 / 57卷 / 05期
关键词：
Two-phase flows; compressible Navier-Stokes equations; Cauchy theory; RIGID BODIES; MOTION; SYSTEM;
D O I：
10.1051/m2an/2023045
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note, we introduce a microscopic model for the motion of gas bubbles in a viscous fluid. By interpreting a bubble as a compressible fluid with infinite shear viscosity, we derive a pde/ode system coupling the density/velocity/pressure in the surrounding fluid with the linear/angular velocities and radii of the bubbles. We provide a 1D analogue of the system and construct an existence theory for this simplified system in a natural regularity framework. The second part of the paper is a preparatory work for the derivation of an averaged or macroscopic model.
引用
收藏
页码：2835 / 2863
页数：29
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