On the motion of a nearly incompressible viscous fluid containing a small rigid body

0575129 - MÚ 2024 RIV DE eng J - Journal Article
Feireisl, Eduard - Roy, A. - Zarnescu, A.
On the motion of a nearly incompressible viscous fluid containing a small rigid body.
Journal of Nonlinear Science. Roč. 33, č. 5 (2023), č. článku 94. ISSN 0938-8974. E-ISSN 1432-1467
R&D Projects: GA ČR(CZ) GA21-02411S
Institutional support: RVO:67985840
Keywords : compressible fluid * fluid-structure interaction * low Mach number limit * small body motion
OECD category: Pure mathematics
Impact factor: 3, year: 2022
Method of publishing: Open access
https://doi.org/10.1007/s00332-023-09949-3

We consider the motion of a compressible viscous fluid containing a moving rigid body confined to a planar domain Ω ⊂ R2 . The main result states that the influence of the body on the fluid is negligible if (i) the diameter of the body is small and (ii) the fluid is nearly incompressible (the low Mach number regime). The specific shape of the body as well as the boundary conditions on the fluid–body interface are irrelevant and collisions with the boundary ∂Ω are allowed. The rigid body motion may be enforced externally or governed solely by its interaction with the fluid.
Permanent Link: https://hdl.handle.net/11104/0344985