Modeling and Stability Analysis of Prototype Mixed Kinematic Bulk, Free Surface, and Interfacial Flows of Viscoelastic Fluids

粘弹性流体的原型混合运动体积流、自由表面流和界面流的建模和稳定性分析

• 批准号: 9612499
• 负责人: Bamin Khomami
• 金额: $ 24.5万
• 依托单位: Washington University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1997
• 资助国家: 美国
• 起止时间: 1997-09-01 至 2001-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9612499&HistoricalAwards=false
• 关键词: Modeling; Stability; Analysis; Prototype; Mixed

This is a grant to address problems related to polymeric and polymer matrix composite materials that have been identified as being key to the security of the U.S. The basic part of most polymer and composite materials manufacturing processes involves flow of polymers in cavities of arbitrary shape with or without reinforcement. Process throughput and product quality are often limited by the onset of flow instabilities. The existence of purely elastic instabilities suggest that all polymer processing operations, however slow they may be, are prone to instabilities. For this reason understanding the influence of fluid elasticity on flow and stability of representative bulk, free surface and interfacial flows is crucial. Fully parallelized, higher-order finite element techniques will be used to study a number of prototype two and three-dimensional free surface and interfacial flows of viscoelastic fluids. Specifically, the work will focus on investigating flow modifications due to fluid elasticity in mixed shearing/elongational flows as well as examining the role of fluid elasticity and non-equilibrium energetic effects on stability of this class of flows. Of particular interest is to identify the mechanism(s) that are responsible for viscoelastic instabilities in mixed kinematic flows which are routinely encountered in processing of polymers and composite materials.

这是解决与聚合物和聚合物基质复合材料有关的问题的赠款没有加固。 流程吞吐量和产品质量通常受流量不稳定性的限制。 纯粹的弹性不稳定性的存在表明，所有聚合物加工操作多么慢，都容易出现不稳定性。 因此，了解流体弹性对代表性大量，自由表面和界面流的稳定性的影响至关重要。 完全并行的高阶有限元技术将用于研究粘弹性流体的许多原型二维和三维的自由表面和界面流。 具体而言，由于混合剪切/伸长流动中的流体弹性，这项工作将集中于研究流动修饰，并研究流体弹性和非平衡能量对这类流量稳定性的作用。 特别感兴趣的是确定负责混合运动学流中粘弹性不稳定性的机制，这些机制通常在聚合物和复合材料的处理中常规遇到。