A New Instability of Miscible Fluid Flows in the Stokes Regime: Linear Analysis and Direct Numerical Simulations

斯托克斯流域中混相流体流动的新不稳定性：线性分析和直接数值模拟

• 批准号: 0456722
• 负责人: Eckart Meiburg
• 金额: --
• 依托单位: University of California-Santa Barbara
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2005
• 资助国家: 美国
• 起止时间: 2005-09-15 至 2010-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0456722&HistoricalAwards=false
• 关键词: New; Instability; Miscible; Fluid; Flows

PROPOSAL NO.: CTS-0456722PRINCIPAL INVESTIGATOR: E. MEIBURGINSTITUTION: UNIV. OF CALIFORNIA SANTA BARBARAThe researchers funded under this grant will use analytical and computational tools to investigate and document the instability of two miscible fluids at low Re with annular stratification of density and viscosity in vertical and inclined tubes. Recent research has revealed the surprising result that miscible fluids, in contrast to their immiscible counterparts, are unstable according to linear stability analysis. This raises fundamental questions regarding the relationship between miscible and immiscible interfacial fluid dynamics, which are often assumed to display corresponding instabilities. Preliminary investigations of linear stability will be continued under this grant, and direct numerical simulation (DNS) studies will explore nonlinear instability. The merit of the proposed work is its investigation of this recently identified and potentially important instability of fundamental interest in fluid mechanics. The ability to predict behavior of variable viscosity and density miscible fluid flows is important for a host of processes in the chemical, pharmaceutical and oil industries. Low Reynolds number flows are particularly relevant to microfluidics applications in the biomedical and space areas. Students involved in this research will benefit by their participation with an ongoing NSF IGERT program in Computational Science and Engineering at UCSB. The PI's service at Prairie View A&M University gives strong evidence of a commitment to diversity in graduate student recruitment and education. The active involvement of foreign exchange students in research will enhance dissemination of the work.

提案编号： CTS-0456722主要制造商：E. MEIBURG机构： 加州大学圣巴巴拉分校根据这项赠款资助的研究人员将使用分析和计算工具，调查和记录两种可混溶流体在低Re下的不稳定性，以及垂直和倾斜管道中的密度和粘度的环形分层。最近的研究已经揭示了令人惊讶的结果，即根据线性稳定性分析，与它们的不混溶对应物相比，可混溶流体是不稳定的。 这就提出了关于混溶和不混溶界面流体动力学之间的关系的基本问题，这通常被认为是显示相应的不稳定性。 在此资助下，将继续进行线性稳定性的初步研究，直接数值模拟（DNS）研究将探索非线性不稳定性。拟议的工作的优点是它的调查，最近确定的和潜在的重要的不稳定性的根本利益，在流体力学。 预测可变粘度和密度的可混溶流体流动的行为的能力对于化学、制药和石油工业中的许多过程是重要的。 低雷诺数流动与生物医学和空间领域中的微流体应用特别相关。 参与这项研究的学生将受益于他们参与UCSB正在进行的NSF IGERT计算科学与工程计划。 PI在Prairie View A M University的服务有力地证明了对研究生招生和教育多样性的承诺。 外国交换生积极参与研究将促进工作的传播。