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

abstractcts - 0133978。Llewellyn Smith，加州大学圣迭戈分校PI提议研究三个与物体在流体中下落这一普遍现象有关的问题，这是麦克斯韦在1853年首先提出的问题。更具体地说，第一个是建立一个从下落的板中释放的涡度的数学模型。本分析研究将考虑二维流动。第二个问题涉及将第一个问题扩展到一个下落的柔性板。在这种情况下，柔性体的形状作为时间的函数给出，并将其纳入问题的解中。第三个问题考虑的是通过层状流体的落体，将进行实验研究和线性建模分析。这个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。当扩展到三维空间时，这项研究的更广泛影响将包括航空航天应用和种子荚的繁殖。该教育计划非常新颖，计划利用体育对大学生和高中生进行理工科教育。这些高中学生将被加州大学圣地亚哥分校的普鲁斯学校录取，该学校是圣地亚哥联合学区的特许学校，为低收入家庭的学生提供密集的大学预科教育项目。

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.