Analytical and Numerical Study of Two Problems Arising in solid-Liquid Interaction

固液相互作用中两个问题的解析和数值研究

• 批准号: 1311983
• 负责人: Giovanni Galdi
• 金额: $ 18.3万
• 依托单位: University of Pittsburgh
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2013
• 资助国家: 美国
• 起止时间: 2013-08-01 至 2016-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1311983&HistoricalAwards=false
• 关键词: Analytical; Numerical; Study; Two; Problems

Over the past decades, the study of the motion of a viscous liquid interacting with solid bodies has become one of the main focuses of applied research. Objective of this project is to address two fundamental aspects of solid-liquid interaction directed toward the accomplishment of the following objectives. The first one is devoted to the motion of a rigid body with internal cavities that are completely filled with a viscous liquid. The second one concerns the vibration-induced motion of a rigid body in a viscous liquid. A particularly significant case is when the vibration is induced by a time-periodically displaced mass inside the body.The interaction of a viscous liquid with a solid body (either rigid or deformable) constitutes a complex and intriguing topic of theoretical and applied research. In fact, not only is it of fundamental theoretical interest, but it also represents the focus of many engineering, biological and medical studies at different scales. Important applications that are immediately related to the present project include, on the one hand, dynamics of flight, space technology, and geophysical problems, and on the other hand, robotic engineering and design of micro- and nano-technological equipment.

在过去的几十年里，粘性液体与固体相互作用的运动研究已经成为应用研究的主要焦点之一。本项目的目标是解决两个基本方面的固液相互作用，直接实现以下目标。 第一个是致力于运动的刚体与内部空腔，完全充满了粘性液体。第二个问题是粘性液体中刚体的振动诱导运动。一个特别重要的例子是当振动是由物体内部的时间周期性位移质量引起的。粘性液体与固体（刚性或可变形）的相互作用构成了一个复杂而有趣的理论和应用研究课题。事实上，它不仅是基本的理论兴趣，但它也代表了许多工程，生物和医学研究在不同规模的焦点。与本项目直接相关的重要应用一方面包括飞行动力学、空间技术和地球物理问题，另一方面包括机器人工程和微型和纳米技术设备的设计。