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Periodic solutions for three sedimenting spheres

 

作者: Russel E. Caflisch,   Chjan Lim,   Jonathan H. C. Luke,   Ashok S. Sangani,  

 

期刊: Physics of Fluids(00319171)  （AIP Available online 1988）
卷期: Volume 31, issue 11  

页码: 3175-3179

 

ISSN:0031-9171

 

年代: 1988

 

DOI:10.1063/1.866928

 

出版商: AIP

 

数据来源: AIP

 

摘要:

Exact periodic solutions are found for the relative motion of three spheres sedimenting in a Stokes fluid. Nearby solutions are found to be nearly periodic for a long time. Existence of the exact periodic solutions is proved using the point‐particle approximation and symmetry properties of Stokes equations. Numerical simulations for finite‐sized particles are performed using a method of multipole expansions.

 

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