Theoretical analysis of the dynamics of coalescence

聚结动力学的理论分析

• 批准号: 2267833
• 金额: --
• 依托单位: University of Cambridge
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2019
• 资助国家: 英国
• 起止时间: 2019 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2267833
• 关键词: Theoretical; analysis; dynamics; coalescence

Understanding the coalescence (and breakup) of drops and bubbles is a vital ingredient in many multiphase flow problems in industry, developing microfluidic technologies and the environment. Examples include oil/gas extraction, inkjet printing, microfabrication and the atmosphere/ocean exchange of CO2. Coalescence is also mathematically interesting as an example of a class of free-boundary problems where the change in the topology of fluid volumes is accompanied by singular, or nearly singular, behaviour driven by the action of surface tension on the highly curved meniscus. The project will use theoretical, numerical and asymptotic methods to analyse the dynamics of this critical phenomenon and develop new solutions to the governing equations. Possible problems to be addressed include: To analyse the initial deformation of two drops when van der Waals attraction first overcomes surface tension. To develop understanding of the role of the external fluid trapped in the interfacial cusp. To develop a matched asymptotic analysis of the boundary-layer structure and wake around a rapidly expanding contact meniscus. Throughout, our solutions will be motivated by, and compared with, observations from recent laboratory experiments.

了解液滴和气泡的聚结（和破裂）是工业中许多多相流问题的重要组成部分，开发微流体技术和环境。例子包括石油/天然气开采、喷墨打印、微加工和大气/海洋的二氧化碳交换。聚结在数学上也是有趣的一类自由边界问题的例子，其中流体体积的拓扑结构的变化伴随着奇异或接近奇异的行为，由表面张力对高度弯曲的弯月面的作用驱动。该项目将使用理论、数值和渐近方法来分析这一临界现象的动力学，并为控制方程开发新的解决方案。可能要解决的问题包括：分析两个滴的初始变形时，货车范德华吸引力首先克服表面张力。了解外部流体在界面尖点中的作用。对快速膨胀接触弯月面的边界层结构和尾流进行匹配渐近分析。在整个过程中，我们的解决方案将受到最近实验室实验观察的启发，并与之进行比较。

项目成果

Nonuniversal Self-Similarity for Jump-to-Contact Dynamics between Viscous Drops under van der Waals Attraction.

范德华吸引力下粘性液滴之间的跳跃接触动力学的非普遍自相似性。

• DOI: 10.1103/physrevlett.129.064501
• 发表时间: 2022
• 期刊: Physical review letters
• 影响因子: 8.6
• 作者: Beaty E

Inertial and viscous dynamics of jump-to-contact between fluid drops under van der Waals attraction

范德华吸引力下液滴之间跳跃接触的惯性和粘性动力学

• DOI: 10.1017/jfm.2023.71
• 发表时间: 2023
• 期刊: Journal of Fluid Mechanics
• 影响因子: 3.7
• 作者: Beaty E

Contact and coalescence of viscous drops

粘性液滴的接触和聚结

• DOI: 10.17863/cam.104345
• 发表时间: 2023
• 作者: Beaty E