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 Force acting on a rough disk spinning in a flow of noninteracting particles
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/6297

title: Force acting on a rough disk spinning in a flow of noninteracting particles
authors: Plakhov, A. Yu.
Tchemisova, T. V.
keywords: Fixed points
Magnus effect
Non-interacting particles
Point particle
Pressure force
Rough set
Successive approximations
Transverse force
Approximation theory
Drag reduction
Set theory
Disks (structural components)
issue date: 2009
abstract: Pressure force exerted on a rough disk spinning in a flow of noninteracting particles is determined by considering that a flow of point particles impinges on a body spinning around a fixed point. The rough disk is identical with the sequence of sets and thus the sets can be viewed as successive approximations of the rough disk. A proper choice of sequence of sets shows that the characteristic of billiard scattering is independent of n, and the billiard scattering on the rough set is defined. The pressure force exerted on the disk is independent of its angular velocity and that the characteristic of the interaction that is the moment of the pressure force slows down the rotation of the rough disk. The transverse force aligned with the instantaneous velocity of the front point of the body results in Magnus effect.
URI: http://hdl.handle.net/10773/6297
ISSN: 1064-5624
publisher version/DOI: http://dx.doi.org/10.1134/S1064562409010396
source: Doklady Mathematics
appears in collectionsCIDMA - Artigos

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