Study on Non-linear dynamics of levitated droplet

悬浮液滴非线性动力学研究

• 批准号: 18360083
• 负责人: ABE Yutaka
• 金额: $ 10.77万
• 依托单位: University of Tsukuba
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (B)
• 财政年份: 2006
• 资助国家: 日本
• 起止时间: 2006 至 2007
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18360083/
• 关键词: Droplet levitation; Non-linear; Dynamic; Ultrasonic wave; Electrostatic; レベルセット法; PIV

Non-linear dynamics of levitated droplet is investigated by the experiment with ultrasonic levitation apparatus and electrostatic levitation apparatus, and by the theoretical analysis and numerical analysis. As the results, followings are revealed.・New technology to measure the viscosity with the levitated droplet is developed for the viscosity range of 0.1 to 100 (Pa・s). In past it is impossible to measure the viscosity in the rage from 0.1 to 100 (Pa・s).・New measurement technologies of the three dimensional flow in a levitated droplet are developed based on the three dimensional PTV technique from the stereo image measurement of the levitated droplet.・The three dimensional PIV measurements are conducted under the normal gravity condition and micro gravity condition with parabolic flight in aircraft. Non-linear analysis theory is newly developed for the non-linear surface deformation of the levitated droplet.A three-dimensional simulation code has been developed based on the level set method, in which the Navier-Stokes equation for fluid motion was coupled with an equation for interface dynamics. The simulation code was parallelized, and numerical simulations of a rotating-oscillating liquid droplet were performed. It was shown that the frequency decreased as the amplitude increased, while the frequency increased as the rotation increased. The pressure field in the droplet was found to be closely related to the frequency shift. The effects of viscosity and surface tension on the frequency shift were made clear.

采用超声悬浮装置和静电悬浮装置对悬浮液滴的非线性动力学进行了实验研究，并进行了理论分析和数值分析。结果显示：·提出了悬浮液滴法测量粘度的新技术，粘度范围为0.1 ~ 100（Pa·s）。过去不可能测量0.1至100（Pa·s）范围内的粘度。·从悬浮液滴的立体图像测量出发，发展了基于三维PTV技术的悬浮液滴三维流动测量新技术。分别在正常重力和微重力条件下进行了抛物线飞行的三维PIV测量。针对悬浮液滴表面变形的非线性问题，提出了一种新的非线性分析方法，基于水平集方法，将流体运动的Navier-Stokes方程与界面动力学方程耦合，开发了三维悬浮液滴表面变形的数值模拟程序。对模拟程序进行了并行化处理，并对振荡液滴进行了数值模拟。结果表明，频率随振幅的增大而减小，随旋转角的增大而增大。液滴内的压力场与频率偏移密切相关。明确了粘度和表面张力对频移的影响。

项目成果

A new stochastic cellular automaton model on traffic flow and its jammin phase transition

交通流及其干扰相变的新随机元胞自动机模型

• 发表时间: 2006
• 期刊: J.Phys.A : Math. Gen. 39
• 作者: S.Sakai;K.Nishinari;S.IIda
• 通讯作者: S.IIda

Exact solution and asymptotic behaviour of the asymmetric simple exclusion process on a ring

环上非对称简单排除过程的精确解和渐近行为

• 发表时间: 2006
• 期刊: J. Phys. A : Math. Gen. 39
• 作者: Amino;K.;Arai;T.;Sugawara;T.(Editor:Muller;C);進藤 美津子(分担執筆);進藤 美津子;進藤 美津子(分担執筆);進藤 美津子;Jun Mada;S. Isojima;Jun Mada;A. Nishiyama;S. Isojima;Jun Mada;A. Nishiyama;S. Isojima;B. Feigin;A. Kuniba;D. Takahashi;A. Kuniba;A. Kuniba;H. Boos;S. Iwao;F. Lambert;R. Willox;B. Grammaticos;S. Kubo;R. Willox;D. Yanagisawa;Jun Mada;M.Kanai
• 通讯作者: M.Kanai

STUDY ON NONLINEAR DEFORMATION BEHAVIORS OF ELECTRO-STATIC LEVITATING LIQUID DROP

静电悬浮液滴非线性变形行为的研究

• 发表时间: 2007
• 作者: Shigeru AWAZU;Satoshi MATSUMOTO;Yutaka ABE
• 通讯作者: Yutaka ABE

Power-law fluctuation in expressway fraffic flow : detrended fluctuation analysis

高速公路交通流量的幂律波动：去趋势波动分析

• 发表时间: 2006
• 期刊: J. Phys. Soc. Jpn. Vol.75
• 作者: S.Tadaki;M.Kikuchi;A.Nakayama;K.Nishinari;A.Shibata;Y.Sugiyama;S.Yukawa
• 通讯作者: S.Yukawa

Study on Nonlinear Behavior of Levitating Liquid Drop

悬浮液滴非线性行为研究

• 发表时间: 2007
• 期刊: Japanese Society for Multiphase Flow vol.2
• 作者: Yutaka Abe;Shigeru Awazu;Satoshi Matsumoto;Tadashi Watanabe;Katsuhiiro Nishinari
• 通讯作者: Katsuhiiro Nishinari