CAREER: Flutter, Tumble and Fall: Extending Maxwell's Problem of the Falling Plate, and Using Sports as an Educational Aid in Science and Engineering

摘要-0133978S。加州大学圣迭戈分校的卢埃林·史密斯建议研究与物体落入液体中的普遍现象有关的三个问题，这个问题最早是由麦克斯韦尔在1853年考虑的。更具体地说，第一个是建立一个从下落的板块上脱落的涡量的数学模型。在这项分析研究中，将考虑二维流动。第二个问题涉及将第一个问题推广到下落的柔性板上。在这种情况下，柔性体的形状是作为时间的函数给出的，并且它包含在问题的解中。第三个问题考虑下落物体穿过分层流体，进行了实验研究，并用线性模型进行了分析。该问题的数值模拟将与圣地亚哥州立大学的一位同事合作进行。这项研究的更广泛影响，当扩展到三维时，将包括航空航天应用和种子豆荚的繁殖。该教育计划相当新颖，PI计划利用体育向本科生和高中生教授理工科。高中生将是那些在加州大学圣地亚哥分校普赖斯学校注册的学生，该学校隶属于圣地亚哥联合学区，为低收入学生提供密集的大学预科教育计划。

ABSTRACTCTS-0133978S. Llewellyn Smith, University of California, San DiegoThe PI proposes to study three problems related to the generic phenomenon of a body falling in a fluid, a problem first considered by Maxwell in 1853. More specifically the first one is to develop a mathematical model for the vorticity being shed from a falling plate. Two-dimensional flow will be considered in this analytical study. The second one involves the extension of the first problem to a falling flexible plate. In this case, the shape of the flexible body is given as a function of time and it is incorporated in the solution of the problem. The third problem considers the falling body through a stratified fluid, experimental investigation will be made as well as analysis with linear modeling. Numerical simulations of the problem will be made in collaboration with a colleague at San Diego State University. Broader impacts of this research, when extended to three dimensions will include aerospace applications and propagation of seedpods. The education plan is quite novel, the PI plans to use sports to teach science and engineering to undergraduates and high school students. The high school students will be those enrolled in the Preuss School at UCSD, which is chartered under the San Diego Unified School District offering intensive college preparatory education program for low-income students.