Transition to Oscillatory and Chaotic Flows in Marangoni Convection of Liquid Bridge (Towards an On-Orbit Experiment aboard the International Space Station)

液桥马兰戈尼对流中振荡流和混沌流的过渡（迈向国际空间站上的在轨实验）

• 批准号: 11450089
• 负责人: HIROSHI Kawamura
• 金额: $ 9.47万
• 依托单位: Tokyo University of Science
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (B)
• 财政年份: 1999
• 资助国家: 日本
• 起止时间: 1999 至 2001
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-11450089/
• 关键词: Marangoni Convection; Microgravity; Oscillatory Convection; Liquid Bridge; 3D-PTV; Chaos; international Space Station; 3次元元可視化

Aiming at an on-orbit experiments aboard the International Space Station(ISS) in 2005, experimental and numerical studies on the Marangoni convection in a half-zone liquid bridge have been carried out. A half-zone liquid was formed between the coaxial cylindrical rods. The temperature difference between the rods induced the thermocapillary convection over the free surface of the bridge. The thermocaPillary-driven flow exhibited a transition from the 2D steady to the 3D 'oscillatory' flows at a critical temperature difference or a critical Marangoni number.In the present study, a series of experiments was performed in a low temperature environment in order to suppress the evaporation of fluid while realizing a large temperature difference between the both ends of the bridge to attain a high Marangoni number in spite of a small size of the bridge (5mm in diameter and a few mm in height). In addition the three-dimensional particle tracking velocimetry (3-D PTV) was applied to measure the … More 3-D flow field of the thermocapillary flow in the small-size liquid bridge. The simultaneous observation with two CCD cameras from the top-end surface was enabled by the application of a small prism placed above the transparent top rod made of sapphire glass. From the series of experiments, following results were obtained ; (1)the critical condition of the transition and the modal strucure after the transition were evaluated as a function of the liquid bridge diameter, aspect ratio and the fluid viscosity, (2)the 3-D velocity fields of the steady and oscillatory flows were reconstructed by 3-D PTV, (3)new types of pulsating and rotating oscillatory flows far beyond the critical condition were found and (4)chaotic and turbulent flows were realized and analyzed by the reconstruction of the pseudo-phase space from the surface temperature variation and by the evaluation of the correlation dimension. In addition, following results were achieved in the numerical study ; (1)a numerical code to calculate the flow field of high Pr number fluid at high Ma number was developed, and (2)non-linear analysis of the chaotic and turbulent flows at high Ma number was carried out.These results contributes significantly for preparation of the on-orbit experiment and establishment of the method analyzing data from the ISS as well as for understanding the fluid dynamics in this system. Less

针对2005年国际空间站（ISS）在轨实验，对半区液体桥的马兰戈尼对流进行了实验和数值研究。在同轴圆柱形棒之间形成半区液体。棒之间的温差引起了桥的自由表面上的热毛细对流。在临界温差或临界马兰戈尼数下，热毛细管驱动的流动表现出从二维稳定流动到三维振荡流动的转变。本研究在低温环境下进行了一系列实验，以抑制流体的蒸发，同时实现桥架两端的大温差，从而在桥架尺寸较小（直径5mm，高度几mm）的情况下获得较高的Marangoni数。此外，还应用三维粒子跟踪测速技术（3-D PTV）测量了小尺寸液桥内热毛细流动的三维流场。在透明的蓝宝石玻璃顶杆上方安装了一个小棱镜，使两台CCD相机能够在顶部表面同时观测。从一系列实验中，得到以下结果：(1)以液桥直径、展弦比和流体粘度为函数，计算了过渡的临界条件和过渡后的模态结构；(2)利用三维PTV重构了定常流和振荡流的三维速度场；(3)发现了远超临界条件的新型脉动和旋转振荡流动；(4)通过对表面温度变化的伪相空间重建和相关维数的评估，实现了混沌和湍流流动并进行了分析。此外，在数值研究中获得了以下结果：(1)开发了计算高Pr数流体在高Ma数下流场的数值程序；(2)对高Ma数下的混沌和湍流流动进行了非线性分析。这些结果对在轨实验的准备和国际空间站数据分析方法的建立以及对该系统流体动力学的理解具有重要意义。少

项目成果

KAWAMURA,H.et al.: "Marangoni Convection with an Inclined Temperature Gradient to the Free Surface"Bulletin of the American Physical Society/Fluid Dynamics. 44・8. 142 (1999)

KAWAMURA, H. 等人：“自由表面倾斜温度梯度的马兰戈尼对流”美国物理学会/流体动力学通报 44・8 (1999)。

Katsuya Nakai et al.: "Dynamic Particle Accumulation Structure in Half-Zone Liquid Bridge -Part II Numerical Study-"J.Jpn.Soc.Microgravity Appl.. 17(Supp.). 113-114 (2000)

Katsuya Nakai 等人：“半区液桥中的动态粒子累积结构 - 第二部分数值研究 -”J.Jpn.Soc.Microgravity Appl.. 17（增刊）。

Hiroshi KAWAMURA, Ichiro UENO, Shiho TANAKA and Dai NAGANO: "Oscillatory, Chaotic and Turbulent Thermocapillary Convections in a Half-Zone Liquid Bridge"Proc. 2th Int.Symp. On Turbulence and Shear Flow Phenomena (TSFP2) (Stockholm,Sweden, June 2001). Vol.

Hiroshi KAWAMURA、Ichiro UENO、Shiho TANAKA 和 Dai NAGANO：“半区液桥中的振荡、混沌和湍流热毛细管对流”Proc。

Ueno, I.et al.: "Three-dimensional flow structure measurement of thermocapillary convection in small-size half-zone liquid bridge"Proc.4th Int.Symp.PIV(CD-ROM). (paper#:p1118). (2001)

Ueno, I.et al.：“小型半区液桥中热毛细管对流的三维流动结构测量”Proc.4th Int.Symp.PIV（CD-ROM）。

Tanaka,S. et al.: "Dynamic Particle Accumulation Structure in Half-Zone Liquid Bridge -Part I Experimental Study-"J.Jpn.Soc.Microgravity Appl.. 17(Supp.). 111-112 (2000)

田中，S.