水平圆柱体下沉

Sinking of a horizontal cylinder.

作者信息

Vella Dominic, Lee Duck-Gyu, Kim Ho-Young

机构信息

Institute of Theoretical Geophysics, Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, CB3 0WA United Kingdom.

出版信息

Langmuir. 2006 Mar 28;22(7):2972-4. doi: 10.1021/la0533260.

DOI:10.1021/la0533260

PMID:16548544

Abstract

We study the sinking of a dense cylinder initially supported horizontally at an air-water interface and then released. The sinking motion is studied experimentally and agrees quantitatively with a simple hydrodynamic model of the process. In particular, our model predicts that the time taken for the cylinder to become immersed in the liquid should be tsink approximately theta((lc/g)1/2), where lc is the capillary length and g the acceleration due to gravity, in good agreement with what is observed experimentally.

摘要

我们研究了一个初始时水平支撑在空气 - 水界面然后释放的致密圆柱体的下沉过程。通过实验研究了下沉运动，并且该运动在定量上与该过程的一个简单流体动力学模型相符。特别地，我们的模型预测圆柱体完全浸入液体所需的时间(t_{sink})应近似为(\theta((l_c/g)^{1/2}))，其中(l_c)是毛细管长度，(g)是重力加速度，这与实验观察结果非常吻合。