Wall forces on a sphere in a rotating liquid-filled cylinder
| Autor: | Tagawa, Yoshiyuki, van der Molen, Jarich, van Wijngaarden, Leen, Sun, Chao |
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| Rok vydání: | 2012 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1063/1.4811406 |
| Popis: | We experimentally study the behavior of a particle slightly denser than the surrounding liquid in solid body rotating flow. Earlier work revealed that a heavy particle has an unstable equilibrium point in unbounded rotation flows. In the confinement of the rotational flow by a cylindrical wall a heavy sphere with density 1.05 g/cm$^3$ describes an orbital motion in our experiments. This is due to the effect of the wall near the sphere, i.e. a repulsive force ($F_w$). We model $F_w$ on the sphere as a function of the distance from the wall ($L$): $F_W \propto L^{-4}$ as proposed by Takemura and Magnaudet (2003). Remarkably, the path from the model including $F_w$ reproduce the experimentally measured trajectory. In addition during an orbital motion the particle does not spin around its axis, and we provide a possible explanation for this phenomenon. Comment: 11 pages, 11 figures |
| Databáze: | arXiv |
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