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  • 1
    Electronic Resource
    Electronic Resource
    Hydrodynamics and stability of a deformable body moving in the proximity of interfaces (1999)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 11 (1999), S. 795-806 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: 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. © 1999 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.869952
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  • 2
    Electronic Resource
    Electronic Resource
    Motion stability of a deformable body in an ideal fluid with applications to the N spheres problem (1998)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 10 (1998), S. 119-130 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The Liapunov stability problem of the translation or spiraling motion of an arbitrary deformable body (the deformation of which is governed by the corresponding Hamiltonian) is treated here using the modified Energy–Casimir approach. The appropriate stability criteria are derived. It is shown that some unstable translational motions can be stabilized by a deformational or rotational motion. This formalism is further applied to the stability problem related to the motion of N (generally unequal) rigid spheres embedded in a potential flow field. The assembly of N-spheres is treated as an entire N-connected single deformable body. The Liapunov stability of the motion of two spheres in the direction orthogonal to their lines of centers and that of three spheres in the direction orthogonal to their plane of centers, is demonstrated and proven as a special case. Some existing conditions of clustering for a bubble cloud are also rederived and extended. © 1998 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.869570
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