Hybrid Numerical Methods for Three-Phase Flows with Moving Contact Lines

动接触线三相流的混合数值方法

• 批准号: 1522604
• 负责人: Pengtao Yue
• 金额: $ 16.72万
• 依托单位: Virginia Polytechnic Institute and State University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2015
• 资助国家: 美国
• 起止时间: 2015-09-01 至 2019-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1522604&HistoricalAwards=false
• 关键词: Hybrid; Numerical; Methods; Three; Phase

Multiphase flows that involve both solid bodies and fluid interfaces are ubiquitous in many applications such as particle-stabilized emulsions, flotation technology, and animal locomotion at fluid interfaces. These applications play important roles in the mining industry, micro- and nanotechnologies, biotechnology, and environmental science. For example, nanoparticles may self-assemble on a fluid interface due to capillary forces; this effect can be used in the fabrication of nanostructured materials. Dry water, a water-in-air emulsion stabilized by silica nanoparticles, has demonstrated extraordinary capability to absorb carbon dioxide and is potentially useful in the war against global warming. Flotation techniques, where gas bubbles are used to remove suspended particles, have been widely used in wastewater treatment. This project aims to develop numerical tools for detailed studies of these complex flows and to resolve fundamental questions that arise in applications. The project will also provide hands-on training opportunities for graduate students to work in interdisciplinary research. The goal of this project is to develop hybrid numerical methods for the direct numerical simulation of flow problems where deformable fluid interfaces, moving rigid particles, and moving contact lines coexist. An arbitrary Lagrangian-Eulerian (ALE) algorithm on an unstructured adaptive moving mesh will be adopted to track the moving boundaries of rigid particles. Two interface-capturing methods based on the same moving mesh, namely the phase-field and the level set methods, will be developed to capture the deformation of fluid interfaces as well as the moving contact lines. These hybrid ALE-interface-capturing methods combine the advantages of both components: the ALE method provides an accurate representation of the particle surface, which is critical for delicate contact-line conditions; the interface-capturing methods easily handle the topological transitions of fluid interfaces. In particular, the ALE-phase-field approach satisfies an energy law and is essentially free of parasitic currents. Finite-element software packages will be developed to implement the proposed methods. This work will advance the development of numerical algorithms for different types of moving boundary problems and also enrich the understanding of contact-line dynamics in complex systems.

涉及固体和流体界面的多相流在许多应用中是普遍存在的，例如颗粒稳定的乳液、浮选技术和流体界面处的动物运动。这些应用在采矿业、微米和纳米技术、生物技术和环境科学中发挥着重要作用。例如，纳米颗粒可以由于毛细管力而在流体界面上自组装;这种效应可以用于纳米结构材料的制造。干水是一种由二氧化硅纳米颗粒稳定的空气中的水乳液，已证明具有非凡的吸收二氧化碳的能力，并在对抗全球变暖的战争中具有潜在的用途。浮选技术，其中气泡用于去除悬浮颗粒，已被广泛用于废水处理。该项目旨在开发用于详细研究这些复杂流动的数值工具，并解决应用中出现的基本问题。该项目还将为研究生提供从事跨学科研究的实践培训机会。 该项目的目标是开发混合数值方法，用于可变形流体界面、移动刚性颗粒和移动接触线共存的流动问题的直接数值模拟。采用非结构自适应移动网格上的任意拉格朗日-欧拉（ALE）算法跟踪刚性粒子的移动边界。将开发基于同一移动网格的两种界面捕捉方法，即相场方法和水平集方法，以捕捉流体界面的变形以及移动接触线。这些混合ALE界面捕获方法联合收割机结合了两个组件的优点：ALE方法提供了颗粒表面的精确表示，这对于微妙的接触线条件至关重要;界面捕获方法易于处理流体界面的拓扑转换。特别是，ALE相场的方法满足能量定律，基本上是免费的寄生电流。将开发电子元件软件包，以实施拟议的方法。这项工作将推进不同类型的移动边界问题的数值算法的发展，也丰富了复杂系统中的接触线动力学的理解。

项目成果

Thermodynamically consistent phase-field modelling of contact angle hysteresis

• DOI: 10.1017/jfm.2020.465
• 发表时间: 2020-09-25
• 期刊: JOURNAL OF FLUID MECHANICS
• 影响因子: 3.7
• 作者: Yue, Pengtao

A semi-analytical method to estimate the effective slip length of spreading spherical-cap shaped droplets using Cox theory

• DOI: 10.1088/1873-7005/aaaef6
• 发表时间: 2018-03
• 期刊: Fluid Dynamics Research
• 影响因子: 1.5
• 作者: M. Wörner;Xuan Cai;H. Alla;P. Yue

The influences of “gas” viscosity on water entry of hydrophobic spheres

• DOI: 10.1140/epje/i2019-11795-9
• 发表时间: 2019-03
• 期刊: The European Physical Journal E
• 作者: Feng-Chao Yang;Xiaopeng Chen;P. Yue

A high-order and interface-preserving discontinuous Galerkin method for level-set reinitialization

• DOI: 10.1016/j.jcp.2018.11.029
• 发表时间: 2019-02
• 期刊: J. Comput. Phys.
• 作者: Jiaqi Zhang;P. Yue

A level-set method for moving contact lines with contact angle hysteresis

具有接触角滞后的移动接触线的水平设置方法

• DOI: 10.1016/j.jcp.2020.109636
• 发表时间: 2020
• 期刊: Journal of Computational Physics
• 影响因子: 4.1
• 作者: Zhang, Jiaqi;Yue, Pengtao
• 通讯作者: Yue, Pengtao