"EMSW21-RTG": Laboratory and Mathematical Fluid Dynamics: Experiments, Computation, and Modeling

液体无处不在，在我们呼吸的空气中，在我们饮用的水中。作为活体，流体提供了我们生活的环境，而对流体运动(从最小的微型生物体到搅动我们大气层的最大的行星级风暴)的理解对于理解生物体如何运作至关重要。对流体动力学的理解既是一项实验工作，也是一项数学工作。这笔研究培训补助金将促进对各种学生(本科生、研究生和研究生)的培训，使他们在实验和理论科学的交汇点上工作，研究重点是通过实验室实验发现新的流体现象，以及发展数学理论以更好地预测这些新现象。所提供的培训将使未来的数学科学家做好准备，与生物和环境流体动力学领域的实验者直接接触，这对了解我们如何在广泛的时空尺度上与我们的环境互动至关重要。学员将被培养成真正的跨学科数学科学家，在数学技术和实验实验室方法方面都有专门知识。在位于数学系和物理系的北卡罗来纳大学流体力学实验室中研究的实验流体现象将是统一平衡研究方法的重点，该方法将结合新的实验和新的数学(理论和计算)预测，以更好地理解自然界中的流体现象。具体重点将放在微流体传输现象(直接与肺中的粘液纤毛传输有关)和实验室规模分层流体现象(与大气和海洋中的混合直接相关)的两种不同的实验方案上。通过一个结构化的建议系统(有8名数学和1名物理教师顾问)、在相关实验室的轮换、定期的小组会议和修改的学习过程的组合，这笔RTG赠款将培养准备好必要工具的新一代数学科学家，以有效地从事真正的跨学科科学工作。

Fluids are everywhere, in the air we breathe, and in the water we drink. As living organisms, fluids provide the environment in which we live, and the understanding of fluid motion (from the smallest micro-scale organisms to the largest planetary-scale storms which stir our atmosphere) is vital to understanding how living organisms function.The understanding of fluid dynamics is both an experimental and mathematical endeavor. This research training grant will facilitate training of a full spectrum of students (undergraduates, graduates, and post-graduates) to work at the interface of experimental and theoretical science in research focused upon discovering new fluid phenomena through laboratory experiments, and the development of mathematical theory for better predicting these new phenomena. The training provided will prepare future mathematical scientists to engage directly with experimentalists in the area of biological and environmental fluid dynamics crucial to understanding how we interact with our environment on a wide range of spatio-temporal scales. The trainees will be developed into true interdisciplinary mathematical scientists with expertise in both mathematical technique and experimental laboratory method. The experimental fluid phenomena studied in the UNC fluid dynamics laboratories housed in the Mathematics and Physics departments will be the focus of a uniformly balanced research approach which will bring together new experiments and new mathematical (theoretical and computational) predictions to better our understanding of fluid phenomena in nature.The specific focus will be upon two different experimental regimes of micro-fluidic transport phenomena (directly relevant to muco-ciliary transport in the lung), and of laboratory-scale stratified fluid phenomena (directly relevant to mixing in the atmosphere and oceans). Through a combination of a structured advising system (with 8 mathematics and 1 physics faculty advisors), rotations through the involved laboratories, regular group meetings, and a modified course of study, this RTG grant will develop a new generation of mathematical scientists prepared with the necessary tools to effectively work on truly interdisciplinary science.