Stability of a bubble containing fluid of different density to a surrounding fluid

含有与周围流体密度不同的流体的气泡的稳定性

• 批准号: 1951713
• 金额: --
• 依托单位: University of Nottingham
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2017
• 资助国家: 英国
• 起止时间: 2017 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-1951713
• 关键词: Stability; bubble; containing; fluid; different

The situation is that we have a bubble containing a fluid of density p1 surrounded by a fluid ofdensity p2. We will be looking at the stability of the bubble surface when the pressure differenceacross the bubble boundary differs. If the surrounding fluid pressure is greater than the interior ofthe bubble the radius starts to decrease. It would be interesting to see the bubble collapse under suchpressure changes. Later in the project we aim to include other interesting effects such as rotationor added boundaries. The stability analysis will be closely related to M. Plesset's paper [1] whichdescribes the stability of a bubble surface using spherical harmonics. We will be able to potentiallyverify the theory developed with experimental simulations by using the magnet lab provided by thePhysics department. We can create a 'levitating' bubble in a volume of liquid within the magneticbore. It is because of this laboratory that we are able to perform such experiments without usingexpensive methods conducted in space. Looking at this problem could give a better insight intocavitating bubbles which can cause damage to structures such as propeller blades on ships as wellas possible applications to inertial connement fusion.

情况是，我们有一个包含密度为p1的流体的气泡，被密度为p2的流体包围。我们将研究当气泡边界上的压力差不同时气泡表面的稳定性。如果周围的流体压力大于气泡内部，半径开始减小.看到气泡在这样的压力变化下崩溃是很有趣的。在项目的后期，我们的目标是包括其他有趣的效果，如旋转或添加边界。稳定性分析与M. Plesset的论文[1]用球谐函数描述了气泡表面的稳定性。我们将能够通过物理系提供的磁体实验室，通过实验模拟潜在地验证所开发的理论。我们可以在磁孔内的一定体积的液体中创造一个“悬浮”气泡。正是因为有了这个实验室，我们才能够在不使用昂贵的太空方法的情况下进行这样的实验。研究这个问题可以更好地了解空化气泡，它会对船舶上的螺旋桨叶片等结构造成损坏，也可能应用于惯性连接聚变。