Modelling evaporation, condensation and pattern formation of liquids on surfaces

模拟表面液体的蒸发、冷凝和图案形成

• 批准号: 2125935
• 金额: --
• 依托单位: Loughborough University
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2018
• 资助国家: 英国
• 起止时间: 2018 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2125935
• 关键词: Modelling; evaporation; condensation; pattern; formation

This applied mathematics PhD project involves a new investigation into modelling of liquids on surfaces. The initial focus of the project will be on the evolution of droplets on the surface under the influence of evaporation/condensation and temperature variations. The resulting models will then be extended to incorporate nanoparticles suspended in the liquid and the pattern formation resulting from their deposition on the surface. The student will develop partial-differential-equation (PDE) and kinetic Monte Carlo (KMC) models and analyse them using a range of advanced mathematical techniques. She will be supervised by three Loughborough University academics from the Department of Mathematical Science who have extensive experience in modelling liquids at interfaces. In the course of the PhD, the student will gain expertise in mathematical modelling, numerical and analytical techniques and programming. The student will also receive standard PhD training at the university in presentation, teaching, writing and science communications skills.

这个应用数学博士项目涉及对表面上液体建模的新调查。该项目最初的重点将是在蒸发/冷凝和温度变化的影响下表面上的液滴的演变。然后，将扩展所得模型，以纳入悬浮在液体中的纳米颗粒和由其沉积在表面上形成的图案。学生将开发偏微分方程（PDE）和动力学蒙特卡罗（KMC）模型，并使用一系列先进的数学技术进行分析。她将由三个拉夫堡大学学者从数学科学系谁拥有丰富的经验，在界面液体建模监督。在博士课程中，学生将获得数学建模，数值和分析技术以及编程方面的专业知识。学生还将在大学接受演讲，教学，写作和科学交流技能的标准博士培训。