2011年11月
Approach to equilibrium of a rotating sphere in a Stokes flow
Annali dell'Universita di Ferrara
- ,
- ,
- 巻
- 57
- 号
- 2
- 開始ページ
- 211
- 終了ページ
- 228
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1007/s11565-011-0127-3
We study the unsteady rotary motion of a sphere immersed in a Stokes fluid. The equation of motion for the sphere leads to an integro-differential equation, and we are interested in the asymptotic behavior in time of the solution. Preparing initially the system (sphere + fluid) as a stationary state, we prove that the angular velocity of the sphere slows down with a law t-3/2 if no other forces than the one exerted by the fluid act on the sphere, while if the sphere is subject also to an elastic torque the asymptotic behavior of the angular position of the sphere is t-γ, with γ = 5/2 if the initial angular velocity is zero, γ = 3/2 otherwise. This behavior is due to the memory effect of the surrounding fluid. We discuss briefly other initial preparations of the system. © 2011 Università degli Studi di Ferrara.
- リンク情報
- ID情報
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- DOI : 10.1007/s11565-011-0127-3
- ISSN : 0430-3202
- ISSN : 1827-1510
- SCOPUS ID : 80355144851