Theoretical and numerical approach to "magic angle" of stone skipping.
Theoretical and numerical approach to "magic angle" of stone skipping.
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DOI：
10.1103/physrevlett.94.174501
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发表时间：
2004-11
影响因子：
8.6
通讯作者：
S. Nagahiro;Y. Hayakawa
中科院分区：
文献类型：
--
作者：
S. Nagahiro;Y. Hayakawa
研究了圆盘斜撞击流体表面时发生弹跳的条件。一项实验[C.Clanet，F.Hersen和L.Bocket，Nature(伦敦)427，29(2004)]揭示了在圆盘表面和水面之间存在一个20度的“魔角”，在这个角度下，弹跳所需的最低撞击速度的条件是最小的。采用光滑粒子流体动力学方法对圆盘与水的碰撞进行了三维模拟。此外，我们还利用常微分方程组(ODE)模型分析了这种影响。模拟结果与实验结果吻合较好。通过对该模型的分析，我们从理论上洞察了跳石运动的魔力角度。
We investigate the condition for the bounce of circular disks which obliquely impacts on the fluid surface. An experiment [C. Clanet, F. Hersen, and L. Bocquet, Nature (London) 427, 29 (2004)] revealed that there exists a "magic angle" of 20 degrees between a disk's face and water surface in which the condition of the lowest impact speed necessary for a bounce is minimized. We perform a three-dimensional simulation of the disk-water impact by means of the smoothed particle hydrodynamics. Furthermore, we analyze the impact with a model of the ordinary differential equation (ODE). Our simulation is in good agreement with the experiment. The analysis with the ODE model gives us a theoretical insight into the "magic angle" of stone skipping.