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

“EMSW21-RTG”：实验室和数学流体动力学：实验、计算和建模

• 批准号: 0502266
• 负责人: Richard McLaughlin
• 金额: $ 172.69万
• 依托单位: University of North Carolina at Chapel Hill
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2005
• 资助国家: 美国
• 起止时间: 2005-09-01 至 2011-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0502266&HistoricalAwards=false
• 关键词: EMSW21; RTG; Laboratory; Mathematical; Fluid

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.

液体无处不在，存在于我们呼吸的空气中和我们饮用的水中。 作为活的有机体，流体为我们提供了生存的环境，而了解流体运动（从最小的微型生物体到搅动我们大气的最大的行星级风暴）对于理解活体有机体的功能至关重要。流体动力学的研究既是一项实验，也是一项数学工作。 这项研究培训补助金将促进对各类学生（本科生、研究生和研究生）的培训，使他们能够从事实验和理论科学交叉领域的研究，重点是通过实验室实验发现新的流体现象，并发展数学更好地预测这些新现象的理论。 所提供的培训将为未来的数学科学家做好准备，使其能够直接与生物和环境流体动力学领域的实验人员接触，这对于理解我们如何在广泛的时空尺度上与环境相互作用至关重要。 学员将被培养成为真正的跨学科数学科学家，拥有数学技术和实验实验室方法方面的专业知识。 位于北卡罗来纳大学数学系和物理系的流体动力学实验室研究的实验流体现象将成为统一平衡研究方法的重点，该方法将汇集新的实验和新的数学（理论和计算）预测，以更好地理解流体现象具体重点将放在微流体输送现象（与肺中的粘液纤毛输送直接相关）和实验室规模的分层流体现象（与大气中的混合直接相关）的两种不同实验方案上和海洋）。 通过结合结构化的咨询系统（包括 8 名数学和 1 名物理教员顾问）、相关实验室的轮换、定期小组会议和修改的学习课程，这笔 RTG 拨款将培养新一代数学科学家，他们具备以下能力：有效开展真正跨学科科学的必要工具。