Mathematical Sciences: Stability and Bifurcation in Two-Layer Shearing Flows

数学科学：两层剪切流的稳定性和分岔

• 批准号: 8720298
• 负责人: Yuriko Renardy
• 金额: $ 0.98万
• 依托单位: Virginia Polytechnic Institute and State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-09-01 至 1989-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8720298&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Stability; Bifurcation; Two

This research will examine flows which involve two immiscible fluids. For such flows, there are a number of theoretical possibilities for the shape of the boundary which separates the two fluids. However, experimental results indicate that some boundary shapes are preferred over others. This work will investigate the selection mechanisms for boundary shapes. Physical modeling, analytical, and computational techniques will be used to study the stability of various stable arrangements and the appearance of new arrangements from unstable configurations. This work could lead to a better understanding of practical applications including the formation of bicomponent fibers, transport of oil in pipelines, ink-jet printing, and lubrication with two fluids.

本研究将考察涉及两种不混相流体的流动。对于这样的流动，对于两种流体之间的边界形状有许多理论上的可能性。然而，实验结果表明，一些边界形状优于其他边界形状。这项工作将研究边界形状的选择机制。物理建模、分析和计算技术将用于研究各种稳定排列的稳定性以及不稳定配置中新排列的外观。这项工作可以更好地理解实际应用，包括双组分纤维的形成、管道中石油的输送、喷墨打印和两种流体的润滑。