Continuum modelling of particulate flows in nature and industry

自然和工业中颗粒流的连续体建模

• 批准号: 2734168
• 金额: --
• 依托单位: CARDIFF UNIVERSITY
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2023
• 资助国家: 英国
• 起止时间: 2023 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2734168
• 关键词: Continuum; modelling; particulate; flows; nature

So much of the natural and man-made world is composed of collections of discrete solid grains. However, there is currently no completely satisfactory theory to describe their motion, en masse, in the many complex flow scenarios which are important across industry and geophysics. Despite the challenges, a promising paradigm has been building over the last 20 years. Based around key experimental, mathematical and physical insights, continuum models for both the flow of dry grains and for particles suspended in a background fluid are beginning to mature.In this project, the driving goal will be to develop a unified rheology spanning the many flow regimes that particulate materials can exhibit. Once this model begins to take shape, novel numerical methods will be developed to solve the resultant dynamical equations. This in-house code will then be applied to various test cases inspired by flows in nature, such as debris avalanches and subsea landslides, and in industry, such as hopper flows and drum mixers.The work will be framed and motivated by key open questions such as "Is it useful in modelling to categorise particle flow dynamics into gas-like, liquid-like and solid-like behaviour?", "What is the most appropriate numerical method to solve multi-regime particulate flow equations?" and "How does the presence of liquid water modify the severity of natural hazards and the efficiency of industrial processes?".

自然界和人造世界的大部分都是由离散的固体颗粒组成的。然而，目前还没有完全令人满意的理论来描述它们的运动，然而，在许多复杂的流动场景中，这在工业和物理学中是重要的。尽管存在挑战，但在过去20年里，一个有希望的范例正在形成。基于关键的实验、数学和物理见解，干燥谷物和悬浮在背景流体中的颗粒的连续介质模型开始成熟。在该项目中，驱动目标将是开发一个统一的流变学，跨越颗粒材料可以表现出的许多流动状态。一旦这个模型开始成形，将开发新的数值方法来解决由此产生的动力学方程。这一内部代码将被应用于各种受自然流动（如泥石流和海底滑坡）和工业流动（如漏斗流和鼓式混合器）启发的测试案例。这项工作将以关键的开放性问题为框架和动机，如“将颗粒流动力学分类为气体、液体和固体行为在建模中有用吗？什么是最合适的数值方法来解决多区颗粒流方程？液态水的存在如何改变自然灾害的严重性和工业生产的效率？".