RUI: Pattern Formation in Reaction-Advection-Diffusion Systems with Lagrangian Chaos

RUI：拉格朗日混沌反应-平流-扩散系统中的模式形成

• 批准号: 0404961
• 负责人: Thomas Solomon
• 金额: $ 15万
• 依托单位: Bucknell University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2004
• 资助国家: 美国
• 起止时间: 2004-06-01 至 2008-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0404961&HistoricalAwards=false
• 关键词: RUI; Pattern; Formation; Reaction; Advection

This individual investigator award funds experiments that will study the effects of fluid mixing on pattern formation in interacting fluid systems. The experiments will focus in particular on the role of Lagrangian chaos (chaotic mixing) on the pattern formation process. Two different fluid flows will be used: a blinking vortex flow, and an oscillating vortex chain in an annular configuration. Initially, the experiments will use the Belousov-Zhabotinsky reaction, an oscillatory chemical reaction, although studies will also be made with other interacting systems, such as liquid crystals or oil/wax systems undergoing phase transitions, and slime mold cultures. In addition to investigating the pattern formation process, the experiments will also test theoretical predictions about the effects of enhanced diffusive and superdiffusive transport on the propagation of reactive fronts. These experiments address an issue that is of great importance to a wide variety of systems (since flows are so common in reacting systems), and yet one that has received surprisingly little attention. In addition to helping to elucidate the pattern-formation processes, the results of the experiments will help in the future development of microfluidic devices in which chaos is the dominant mixing mechanism. The experiments will be performed with undergraduate students who will participate in all aspects of the research. These experiences form a valuable first step in the training of the next generation of scientists.There is a great deal of interest in the development of microfluidic devices - extremely small scale "factories" that process and produce chemical and biological agents in packages as small as an integrated circuit. This is just one example of a system in which fluid mixing plays a critical role in a reaction process. This NSF DMR award supports experiments that will study the interaction of fluid mixing and reaction in slow-moving, well-ordered flows (such as those in microfluidic devices). In particular, the experiments will explore the importance of chaotic mixing, which has been demonstrated to be the dominant mixing mechanisms for slow-moving and small-scale flows. The flows studied will be composed of vortices (whirlpools) that oscillate in a manner that results in chaotic mixing. Initially, the experiments will use chemical reactions, although studies will also be made with other interacting systems, such as liquid crystals, oil/wax systems and slime mold cultures. In addition to being relevant to the development of microfluidic devices, results from these studies may also help explain the behavior of plasmas in fusion reactors, the patterns that form during the fabrication of alloys from a melt, and the spreading of diseases during an epidemic. The experiments will be performed with undergraduate students who will participate in all aspects of the research. These experiences form a valuable first step in the training of the next generation of scientists.

该个人研究者奖励基金实验将研究流体混合对相互作用流体系统中模式形成的影响。 实验将特别关注拉格朗日混乱（混乱混合）对模式形成过程的作用。 将使用两种不同的流体流：闪烁的涡流流以及环形配置中的振荡涡流链。 最初，实验将使用Belousov-Zhabotinsky反应，这是一种振荡性化学反应，尽管还将与其他相互作用的系统进行研究，例如液晶或相变的油/蜡系统，以及粘液型培养基。 除了研究模式形成过程外，实验还将测试有关增强扩散和超级传输对反应性阵线传播的影响的理论预测。 这些实验解决了一个对各种系统至关重要的问题（因为流程在反应系统中非常普遍），但令人惊讶的是关注。 除了有助于阐明模式形成过程外，实验的结果还将有助于将来的微流体设备的开发，其中混乱是主要的混合机制。 实验将与将参与研究的各个方面的本科生进行。 这些经验在培训下一代科学家的培训中构成了宝贵的第一步。对微流体设备的开发产生了极大的兴趣 - 非常小的规模“工厂”，这些过程的“工厂”，并在包装​​中产生化学和生物学剂，就像集成电路一样小。 这只是一个系统的一个示例，其中流体混合在反应过程中起关键作用。 该NSF DMR奖支持实验，这些实验将研究流体混合和反应的相互作用，以缓慢移动，有序的流量（例如微流体设备中的流动）。 特别是，实验将探讨混合混合的重要性，这已被证明是缓慢移动和小规模流的主要混合机制。所研究的流将由涡流（漩涡）组成，这些涡流（漩涡）以导致混乱混合的方式振荡。 最初，实验将使用化学反应，尽管还将与其他相互作用系统（例如液晶，油/蜡系统和粘液霉菌培养物进行研究）进行研究。 除了与微流体设备的开发相关外，这些研究的结果还可能有助于解释等离子体在融合反应堆中的行为，融合反应器中形成的模式在熔体制造过程中形成的模式以及在流行病期间疾病的扩散。 实验将与将参与研究的各个方面的本科生进行。 这些经验构成了培训下一代科学家的宝贵第一步。