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Article Dans Une Revue ESAIM: Mathematical Modelling and Numerical Analysis Année : 2023

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

Hélène Mathis
  • Fonction : Auteur
Nicolas Seguin
  • Fonction : Auteur

Résumé

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.
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Dates et versions

hal-04211775 , version 1 (19-09-2023)

Identifiants

Citer

Matthieu Hillairet, Hélène Mathis, Nicolas Seguin. Analysis of compressible bubbly flows. Part I: construction of a microscopic model. ESAIM: Mathematical Modelling and Numerical Analysis, 2023, 57 (5), pp.2835-2863. ⟨10.1051/m2an/2023045⟩. ⟨hal-04211775⟩
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