A theoretical and experimental study on the unidirectional motion of a camphor disk

A theoretical and experimental study on the unidirectional motion of a camphor disk
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DOI:
10.1016/j.physd.2004.02.003
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发表时间:
2004-07-15
影响因子:
4
通讯作者:
Hayashima, Y
Hayashima, Y
中科院分区:
数学3区
文献类型:
--
作者:
Nagayama, M;Nakata, S;Hayashima, Y

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研究了樟脑圆盘在环形水槽中的自持运动。在对系统施加局部扰动之后,保持沿着水通道的沿着单向运动。在通道中引入隔板将单向运动改变为来回运动。为了澄清移动沉降樟脑盘的驱动力的性质,测量了盘的速度对水相粘度的依赖性。实验结果进行了讨论的樟脑层的分布作为驱动力的磁盘周围。的性质的自我运动是定性再现的数值计算,采用的数学模型,结合周围的磁盘和水相的粘度的樟脑层的分布。此外,数值分析了依赖于水相粘度的樟脑圆盘单向运动的存在性和稳定性。(C)2004 Elsevier B.V.保留所有权利。
The self-sustaining motion of a camphor disk in an annular water channel was investigated. Unidirectional motion along the water channel is maintained after a local perturbation is applied to the system. Introduction of a partition into the channel changes the unidirectional motion into back-and-forth motion. To clarify the nature of the driving force that moves the settling camphor disk, the dependence of the velocity of the disk on the viscosity of the aqueous phase was measured. The experimental results are discussed in relation to the distribution of the camphor layer around the disk as the driving force. The nature of the self-motion is qualitatively reproduced by numerical computations using a mathematical model that incorporates the distribution of the camphor layer around the disk and the viscosity of the aqueous phase. Furthermore, the existence and stability of the unidirectional motion of the camphor disk depending on the viscosity of the aqueous phase are analyzed numerically. (C) 2004 Elsevier B.V. All rights reserved.