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Chaotic particle dynamics in viscous flows: the three-particle stokeslet problem

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Chaotic particle dynamics in viscous flows: the three-particle stokeslet problem

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Título Chaotic particle dynamics in viscous flows: the three-particle stokeslet problem
Autor Janosi, Imre Miklos
Tel, Tamas
Wolf, Dietrich Emil
Gallas, Jason Alfredo Carlson
Abstract It is well known, that the dynamics of small particles moving in a viscous fluid is strongly influenced by the long-range hydrodynamical interaction between them. Motion at high viscosity is usually treated by means of the Stokes equations, which are linear and instantaneous. Nevertheless, the hydrodynamical interaction mediated by the liquid is nonlinear; therefore the dynamics of more than two particles can be rather complex. Here we present a high resolution numerical analysis of the classical three-particle Stokeslet problem in a vertical plane. We show that a chaotic saddle in the phase space is responsible for the extreme sensitivity to initial configurations, which has been mentioned several times in the literature without an explanation. A detailed analysis of the transiently chaotic dynamics and the underlying fractal patterns is given.
Contido em Physical Review, E, Statistical Physics, Plasmas, Fluids and Related Interdisciplinary Topics. New York. Vol. 56, no. 3 (Sept. 1997), p. 2858-2868
Assunto Áreas clássicas de fenomenologia e suas aplicações
Dinâmica de fluídos
Sistemas caoticos
Origem Estrangeiro
Tipo Artigo de periódico
URI http://hdl.handle.net/10183/103641
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