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由樟脑分子的溶解和扩散决定的樟脑小船的振荡运动周期

Period of Oscillatory Motion of a Camphor Boat Determined by the Dissolution and Diffusion of Camphor Molecules.

作者信息

Tenno Ryoichi, Gunjima You, Yoshii Miyu, Kitahata Hiroyuki, Gorecki Jerzy, Suematsu Nobuhiko J, Nakata Satoshi

机构信息

Graduate School of Science , Hiroshima University , Kagamiyama 1-3-1 , Higashi-Hiroshima 739-8526 , Japan.

Department of Physics , Chiba University , Yayoi-cho 1-33 , Inage-ku, Chiba 263-8522 , Japan.

出版信息

J Phys Chem B. 2018 Mar 8;122(9):2610-2615. doi: 10.1021/acs.jpcb.7b11903. Epub 2018 Feb 21.

Abstract

Here, we investigated the oscillatory motion of a camphor boat on water to clarify how the dynamics of camphor concentration profile determines the period of oscillation. The boat, which was made of a plastic plate and a camphor disk, was glued below the plate at a distance from the edge. The dependence of oscillation period on temperature and viscosity of the water phase was measured in experiments. We reproduced the experimental results by calculating the period of oscillatory motion by considering the experimental values of physicochemical parameters describing the time evolution of camphor concentration profile and the friction acting on a boat, such as diffusion and dissolution rates of camphor, viscosity of the water phase, and the threshold concentration of camphor necessary to accelerate the boat from the resting state. The increase in the period of oscillatory motion at low temperatures was explained by the reduced dissolution rate of camphor into the water phase.

摘要

在此,我们研究了樟脑船在水面上的振荡运动,以阐明樟脑浓度分布的动力学如何决定振荡周期。该船由塑料板和樟脑盘制成,樟脑盘粘贴在塑料板下方距边缘一定距离处。实验测量了振荡周期对水相温度和粘度的依赖性。我们通过考虑描述樟脑浓度分布随时间演变的物理化学参数的实验值以及作用在船上的摩擦力(如樟脑的扩散和溶解速率、水相的粘度以及使船从静止状态加速所需的樟脑阈值浓度)来计算振荡运动的周期,从而再现了实验结果。低温下振荡运动周期的增加可通过樟脑在水相中的溶解速率降低来解释。

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