Abstract
The motion of a deformable body embedded in an inviscid irrotational nonuniform ambient flow field in the proximity of interfaces is treated here using a newly developed Hamiltonian formalism. The corresponding dynamic equations governing the motion of the body are derived and their integrability is investigated. We find that the presence of boundaries results in an additional chaotization of a body's motion. Based on the derived Hamiltonian formalism the Liapunov stability of the motion of a body translating parallel or towards a remote flat wall is also considered using the Energy-Casimir approach. The appropriate stability criteria are derived. Finally some applications for bubble dynamics concerning an influence of a periodical deformation of a bubble on its motion is presented.
| Original language | English |
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| Pages (from-to) | 795-806 |
| Number of pages | 12 |
| Journal | Physics of Fluids |
| Volume | 11 |
| Issue number | 4 |
| DOIs | |
| State | Published - Apr 1999 |