Study on Nonlinear Dynamics of Rotating Liquid Drop Vibration

旋转液滴振动的非线性动力学研究

• 批准号: 16560168
• 负责人: MATSUMOTO Satoshi
• 金额: $ 2.18万
• 依托单位: Japan Aerospace Exploration Agency
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2004
• 资助国家: 日本
• 起止时间: 2004 至 2005
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-16560168/
• 关键词: Levitating Droplet; Electrostatic Levitator; Rotation; Surface Tension; Surface Charge; Axisymmetric Oscillation; Resonant Frequency; Nonlinear Oscillation; 液滴; 振動挙動; 非線形性; 周波数シフト; 液滴回転

Experimental study on nonlinear dynamics of liquid droplet levitated by a electrostatic levitator was performed. A transparent fluid of propylene carbonate was employed as a working fluid. The result was summarized as follows:1.Effect of droplet size on measured surface tension did not appear ranging from 1 to 3 mm in diameter. However the surface tension decreased with increasing the surface charge. Influence of surface charge was corrected by using Rayleigh theorem. But this correction could not perfect especially in the highly charge region. It seems that nonuniformity of surface charge should be taken into account in corrective equitation.2.Nonlinear effect remarkably appeared with increasing the amplitude of oscillation. And nonlinear behavior was observed when the frequency of external force to induce oscillatory motion was changed around the resonant frequency of droplet.3.When an oscillation amplitude became lager, the resonant frequency was getting lower. This result agree well with a theory derived by Tsamopoulos and Brown.4.The rotation (spin) along z axis was induced on the levitating droplet. The critical value of transition from symmetric to asymmetric form and the increment of resonant frequency consisted with theory by Busse.5.Nonlinear oscillation was modeled by using a spring-mass-dumper system including nonlinearity which called Duffing equation. In case of taking into account of nonlinear effect, oscillation dynamics was similar to experimental result in large-amplitude oscillation. The result indicates that the large-amplitude oscillation includes the effect of nonlinear oscillation.

对静电悬浮器悬浮液滴的非线性动力学进行了实验研究。采用透明的碳酸丙烯酯流体作为工质。结果总结如下：1。在直径1 ~ 3mm范围内，液滴尺寸对测量表面张力没有影响。表面张力随表面电荷的增加而减小。利用瑞利定理对表面电荷的影响进行了修正。但这种修正不可能完美，特别是在高电荷区域。在修正方程中，似乎应考虑到表面电荷的不均匀性。随着振动幅度的增大，非线性效应显著。当诱导振荡运动的外力频率在液滴谐振频率附近变化时，观察到液滴的非线性行为。振荡幅度越大，谐振频率越低。这一结果与Tsamopoulos和brown的理论非常吻合。悬浮液滴沿z轴产生旋转（自旋）。从对称型向非对称型转变的临界值和谐振频率的增量与busse的理论一致。采用包含Duffing方程非线性的弹簧-质量转储系统对非线性振荡进行建模。在考虑非线性效应的情况下，振荡动力学与实验结果相似。结果表明，大振幅振荡包括非线性振荡的影响。

项目成果

浮遊液滴の振動挙動に関する研究

悬浮液滴振动行为研究

• 发表时间: 2005
• 期刊: 宇宙利用シンポジウム講演論文集 Vol.21
• 作者: 松本聡;小野寺博樹;石川毅彦;依田眞一;若島健司
• 通讯作者: 若島健司

液滴振動法による表面張力測定における振幅の影響

振幅对液滴振动法测量表面张力的影响

• 发表时间: 2004
• 期刊: 第41回日本伝熱シンポジウム講演論文集 Vol.1
• 作者: 小野寺博樹;松本聡;小宮敦樹;石川毅彦;Paul-Francois Paradis;依田眞一;若島健司
• 通讯作者: 若島健司

静電浮遊液滴の大振幅振動挙動に関する研究

静电悬浮液滴大振幅振动行为研究

• 发表时间: 2006
• 期刊: 日本機会学会関東学生会第45回学生員卒業研究発表講演会 Vol.1
• 作者: 粟津茂;松本聡;阿部豊
• 通讯作者: 阿部豊

Study on Non-Linear Behavior of Liquid Drop Oscillation

液滴振动非线性行为的研究

• 发表时间: 2005
• 期刊: AIAA 2005-0723
• 作者: H.Onodera;S.Matsumoto;T.Ishikawa;P.-F.Paradis;S.Yoda;K.Wakashima
• 通讯作者: K.Wakashima

液滴振動法による物性計測に及ぼす液滴挙動の影響

液滴行为对液滴振动法物理性能测量的影响

• 发表时间: 2004
• 期刊: 日本機械学会熱工学コンファレンス2004講演論文集
• 作者: 小野寺博樹;松本聡;石川毅彦;Paul-Francois Paradis;依田眞一;若島健司
• 通讯作者: 若島健司