Collaborative Research: Reactive instabilities, colloids and interfacial flows: Experiments, models and numerics

合作研究：反应不稳定性、胶体和界面流动：实验、模型和数值

• 批准号: 1217273
• 负责人: John Lowengrub
• 金额: $ 10万
• 依托单位: University of California-Irvine
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2012
• 资助国家: 美国
• 起止时间: 2012-12-15 至 2015-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1217273&HistoricalAwards=false
• 关键词: Collaborative; Research; Reactive; instabilities; colloids

The investigators and their colleagues study novel instabilities in fluids driven by material complexity occurring only at interfaces. For instance, when two reacting micellar liquids are brought into contact, the reaction may produce a growing gel-like phase at the interface, which significantly stiffens the boundary between the fluids. Another example arises from the presence of nanoscale colloidal particles which accumulate at interfaces. Intercolloid forces also endow the interface with stiffness, and may even jam the interface at sufficiently high volume fraction. The goal of this proposal is to develop comprehensive, physically appropriate models and simulations for these very difficult problems. The highly nonlinear nature of these problems makes fast, accurate and robust numerical methods essential to their study. The research team plans to investigate the nonlinear dynamics of interfaces endowed with complex physical properties and to develop strategies to control their pattern forming abilities by (1) developing and applying state-of-the-art adaptive numerical methods to large-scale computation; (2) performing analytical, numerical and modeling studies of important constituent processes; and (3) performing experiments to calibrate and validate the mathematical models, to test the model predictions, and to help elucidate the underlying physical processes.Interfacial instabilities occur when driving forces compete with resistive forces with a consequence being the formation of complex patterns. Examples occur in diverse systems such as including filamentary microorganisms, growing biofilms, smoldering flame fronts, and lava flows. The goal of this project is to develop comprehensive, physically appropriate models and efficient numerical methods for solving such problems. Experiments will be performed to validate the models and test the model predictions, and to help elucidate the underlying physical processes. The research will focus on flows with complex interfacial physics such as reactions and nanoscale particles at interfaces. The research activities will provide new integrated theoretical, numerical and experimental results that can be used to (1) further explore these pattern forming systems that are driven out of equilibrium; (2)develop guidelines for controlling the evolving morphologies. While specific and novel applications are investigated here, the new mathematical and adaptive numerical techniques are expected have application beyond the present context. In addition, this project will provide valuable interdisciplinary training opportunities for young researchers, and outreach programs are planned for middle school and undergraduate students (Penn State), high school students (UC Irvine) and undergraduate students (Ill. Inst. Techn.).

研究人员及其同事研究了仅在界面上发生的物质复杂性驱动的流体中的新不稳定性。例如，当两种反应胶束液体接触时，反应可能会在界面处产生一个生长的凝胶样相，从而显着僵硬地僵硬了流体之间的边界。 另一个例子是由纳米级胶体颗粒的存在引起的，该胶体颗粒积聚在界面。串联力还以刚度赋予界面，甚至可能以足够高的体积分数堵塞界面。该提案的目的是针对这些非常困难的问题开发全面的，身体适当的模型和模拟。这些问题的高度非线性性质使他们的研究必不可少的快速，准确和鲁棒的数值方法。研究小组计划研究具有复杂物理特性的接口的非线性动力学，并通过（1）开发和应用最新的自适应数值方法来控制其模式形成能力，以控制其模式形成能力； （2）对重要组成过程进行分析，数值和建模研究； （3）执行实验以校准和验证数学模型，测试模型预测并帮助阐明潜在的物理过程。例子发生在不同的系统中，例如包括丝状微生物，生物膜越来越多的生物膜，闷烧的火焰前端和熔岩流。该项目的目的是开发全面的，物理上适当的模型和有效的数值方法来解决此类问题。将进行实验以验证模型并测试模型预测，并有助于阐明潜在的物理过程。这项研究将集中在界面处的复杂界面物理（例如反应和纳米级颗粒）上的流动。研究活动将提供新的综合理论，数值和实验结果，可用于（1）进一步探索以平衡驱动的这些模式形成系统； （2）制定控制不断发展的形态的准则。尽管这里研究了特定和新颖的应用，但预计新的数学和自适应数值技术的应用超出了当前情况。 此外，该项目将为年轻的研究人员提供宝贵的跨学科培训机会，并计划针对中学和本科生（宾夕法尼亚州立大学），高中生（UC Irvine）和本科生（Ill。Inst。Inst。Techn。）为外展计划提供外展计划。