Control of Pressure Gradient-Driven Spatio-temporal Patterns in Strongly Correlated Soft Materials

强相关软材料中压力梯度驱动时空模式的控制

• 批准号: 13031045
• 负责人: KAWAGUCHI Masami
• 金额: $ 22.08万
• 依托单位: Mie University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research on Priority Areas
• 财政年份: 2001
• 资助国家: 日本
• 起止时间: 2001 至 2003
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-13031045/
• 关键词: Hele-Shaw Cell; Correlated Soft Materials; Viscous Fingering; Saffman-Taylor Instability; Modified Darcy's Law; Bubble Motion; Strouhal Number; Karman Flow; ソフトマテリアル; 気泡; 高分子; 分岐因子; カルマン渦流れ; 乱流渦流れ; 時空間構造; エマルション; クラック状のパターン; カスプ状パターン; せん

The onset imposed shear rate 2V_f/b at which the Saffinan-Taylor instability, namely changes in the fingering pattern from the Saffinan-Taylor to the tip splitting ones occur for the first time, is in good agreement with that where the rheological properties of the displaced strongly correlated soft materials, such as polymer solutions, suspensions, and emulsions show non-Newtonian behavior irrespective of the material. The average velocity of the finger growth is almost coincident with that of the modified Darcy's law, in which the viscosity is displaced by the shear rate dependent viscosity, irrespective of the injected fluid and the Hele-Shaw cell. Therefore, the fundamental equation of viscous fingering in the soft materials can be obtained for the finger growth and it seems to be useful further to develop theoretical works and computer simulations for their viscous fingering results.The bubble motion is changed from monotonous vibration to straight paths through damped one, due to the viscoelastic properties of the HPMC layer adsorbed at the air-water interface. Below the Strouhal number of 0.2, the Karman vortex street is observed in the wake behind rising bubbles, whereas above the Strouhal number of 0.2, the wake structures are different from the Karman vortex street. The difference should be attributed to changes in flow from the Karman to turbulent flow.

发作施加的剪切速率2V_F/b，saffinan-taylor不稳定性的剪切速率，即首次发生从saffinan-taylor变为尖端分裂的剪切率，这与流离失所的柔软材料（例如Poliontional and desprients nonteriation shuptional and despription serription and dermintion and irnton and ir-new）的流变特性非常吻合。手指生长的平均速度几乎与经过修改的达西定律的平均速度相吻合，在该定律中，粘度因剪切速率依赖性粘度而置换，而与注入的液体和Hele-Shaw细胞无关。因此，可以为手指生长获得粘性材料中粘性指法的基本方程式，并且由于其粘性指法的结果开发理论工作和计算机模拟似乎是有用的。由于泡沫运动从单调的振动转变为通过潮湿的直径变化，这是由于HPMC层面的粘弹性属性而变化的。在曲卢哈尔（Strouhal）数量为0.2的情况下，在唤醒泡沫后面观察到了Karman Vortex Street，而在曲卢哈尔（Strouhal）的0.2上方，唤醒结构与Karman Vortex Street不同。差异应归因于从业力到湍流的流动变化。

项目成果

Viscous Fingering: "Instabilities in an Oil in Water Emulsion"Phys.Fluids. 16(in press). (2004)

粘性指法：“水包油乳液中的不稳定性”Phys.Fluids。

Masami Kawaguchi: "Viscous Fingering instabilities in an Oil in Water Emulsion"Phys.Fluids. 16・6(in press). (2004)

Masami Kawaguchi：“水包油乳液中的粘性指法不稳定性”Phys.Fluids 16・6（出版中）。

Masami Kawaguchi: "Viscous Fingering in Polymeric Systems"Nonlinear Anal.. 47. 907-918 (2001)

川口正美：“聚合物系统中的粘性指法”非线性分析.. 47. 907-918 (2001)

M.Kawaguchi: "Viscous Fingering Instability in Polymer Solutions"Recent Res. Develop. Polymer Sci.. 6. 139-160 (2002)

M.Kawaguchi：“聚合物溶液中的粘性指进不稳定性”最近的研究。

川口正美: "コロイド分散系のヴィスコスフィンガリング"高分子加工. 51・7. 298-302 (2002)

川口正美：“胶体分散体系中的粘滞指法”，聚合物加工 51・7。