Fundamental Mathematical and Experimental Fluid Dynamics

基础数学和实验流体动力学

• 批准号: 1009750
• 负责人: Richard McLaughlin
• 金额: $ 31.9万
• 依托单位: University of North Carolina at Chapel Hill
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2010
• 资助国家: 美国
• 起止时间: 2010-10-01 至 2015-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1009750&HistoricalAwards=false
• 关键词: Fundamental; Mathematical; Experimental; Fluid; Dynamics

This research project focuses on fundamental fluid phenomena explored through a combination of mathematical hydrodynamic theory and experiment. The majority of this theoretical and experimental research will take place in and around the new UNC Interdisciplinary fluids laboratory, which opened in June 2007. This project will involve 2 mathematics faculty, 1 graduate student, and 1 undergraduate student to perform experimental and theoretical research designed to better understand mixing, entrainment, and flow properties of stratified and/or viscous systems. Research will include assessing the regularization of Stokes flow divergences through density stratifications, finite time enhanced diffusion with rigid boundary conditions, the hydrodynamics of spheres in the presence of time varying shear layers, and the analysis of singular non-self adjoint differential eigenvalue problems. Applications of these techniques to the natural sciences will be explored. The environment in which we live and breathe is a complex coupled fluid system whose dynamics possess phenomena occurring on a vast range of space and time scales. From the smallest cilia in the lung which provide a hydrodynamic defense mechanism against inhaled contaminants to the atmosphere, oceans, and our climate, we interact directly with our fluid environment. The project seeks to provide both improved scientific understanding, and, along the way, new opportunities for research and educational experiences for undergraduate and graduate students of the natural sciences and will have an outreach to middle and high school students through tours and summer research internships. In particular, this project is focused upon research in fundamental fluid dynamics with emphasis on improved understanding of the interaction between immersed bodies moving in stratified fluids in different environments such as in atmospheres and oceans and in biological systems. Specific examples of such behavior include the settling of "marine snow" in the ocean which is responsible for sequestering carbon dioxide from the atmosphere, as well as the formation of underwater trapped oil plumes such as those occurring in the Deepwater Horizon Gulf of Mexico oil spill.

该研究项目的重点是通过数学流体动力学理论和实验相结合探索基本流体现象。 这项理论和实验研究的大部分将在2007年6月开放的新的跨学科流体实验室内和周围进行。 该项目将涉及2名数学教师，1名研究生和1名本科生进行实验和理论研究，旨在更好地了解分层和/或粘性系统的混合，夹带和流动特性。研究将包括评估通过密度分层，有限时间增强扩散刚性边界条件，在时变剪切层的存在下的球体的流体动力学，和奇异非自伴微分特征值问题的分析斯托克斯流发散的正则化。 将探讨这些技术在自然科学中的应用。 我们生活和呼吸的环境是一个复杂的耦合流体系统，其动力学具有在广阔的空间和时间尺度上发生的现象。 从肺中最小的纤毛，它提供了一个流体动力学防御机制，以防止吸入污染物到大气，海洋和我们的气候，我们直接与我们的流体环境相互作用。 该项目力求提高科学认识，并在此过程中沿着为自然科学专业的本科生和研究生提供新的研究和教育机会，并将通过图尔斯和暑期研究实习向初中和高中学生推广。 特别是，该项目侧重于基础流体动力学的研究，重点是提高对在大气和海洋以及生物系统等不同环境中分层流体中移动的浸没体之间相互作用的理解。 这种行为的具体例子包括海洋中的“海洋雪”沉降，这是从大气中隔离二氧化碳的原因，以及形成水下被困的油羽，如墨西哥湾深水地平线石油泄漏事件中发生的油羽。