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.

进行了液滴的非线性动力学的实验研究，进行了静电悬浮液的悬浮液。碳酸丙烯酸丙烯酸酯的透明流体被用作工作液。结果总结如下：1。液滴大小对测得的表面张力的影响范围没有直径为1到3 mm。但是，表面张力随着表面电荷的增加而降低。通过使用Rayleigh定理校正表面电荷的影响。但是这种校正无法完美，尤其是在高度充电区域。似乎应在矫正校准中考虑表面电荷的不均匀性。2。旋转效应显着地出现，随着振荡的幅度增加。当外力诱导振荡运动的频率围绕液滴的谐振频率改变时。该结果与Tsamopoulos和Brown得出的理论非常吻合。4。沿Z轴的旋转（自旋）在悬浮的液滴上诱导。从对称形式到不对称形式的过渡的临界值以及与Busse理论组成的谐振频率的增量。5.NonlinelareAr振荡是通过使用弹簧质量 - 荷兰系统（包括称为Duffing方程的非线性）进行建模的。在考虑到非线性效应的情况下，振荡动力学类似于大振幅振荡的实验结果。结果表明，大振幅振荡包括非线性振荡的效果。

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