Mathematical Sciences: Investigation of Viscous Flow in a Hele-Shaw Cell

数学科学：Hele-Shaw 单元中粘性流的研究

• 批准号: 8713246
• 负责人: Saleh Tanveer
• 金额: $ 7.81万
• 依托单位: Virginia Polytechnic Institute and State University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1987
• 资助国家: 美国
• 起止时间: 1987-10-01 至 1989-08-15
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8713246&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Investigation; Viscous; Flow

This research program investigates the viscous flow of immiscible fluids in a Hele-Shaw cell. The effects of transverse variation of interface curvature, finite viscosity ratio, gravity, small tilt of cell wall and variable surface tension will be analyzed. The results of this investigation are expected to resolve the known diagreemants between theoretical results and observations, both in nature and in experiments, on steady state behavior and stability features of this type of fluid flows.

本研究计划调查的粘性流动， 在Hele-Shaw细胞中的不混溶流体。 横向影响 界面曲率的变化，有限粘度比， 重力、细胞壁的小倾斜和可变的表面张力 将被分析。 这一调查结果有望解决 理论结果和 观察，无论是在自然界和实验中，对稳定状态 这种类型的流体流动的行为和稳定性特征。