Patterns in chaotically mixing fluid flows

混沌混合流体流动的模式

• 批准号: 5424890
• 负责人: Professor Dr. Arkady Pikovsky
• 金额: --
• 依托单位: Institut für Physik und Astronomie
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2004
• 资助国家: 德国
• 起止时间: 2003-12-31 至 2005-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/5424890?language=en
• 关键词: Patterns; chaotically; mixing; fluid; flows

The goal of this project is the investigation of patterns which appear in mixing, temporally regular flows. The following basic questions will be addressed with numerical and analytical methods: evolution of patterns of passively advected particles; patterns for reacting chaotically advected species; the influence of the effects related to the finite size of particles on the patterns; the effect of compressibility. The main idea is to use an approach based on finding leading linear modes of the linear diffusion-advection equation for a passive scalar, either in continuous or in discrete time. These modes will be then used for stability analysis of active nonlinear problems and for construction of nonlinear structures. On all stages a connection to the Lagrangian dynamics of particles in the flow will be followed, including the cases of inertia and Basset forces acting on finite size particles. Possible application to the theory lies in the construction of effectively mixing microfluidic configurations.

这个项目的目标是调查在时间上规则的混合流动中出现的模式。以下基本问题将用数值和分析方法解决：被动平流粒子模式的演变；反应混沌平流物种的模式；与粒子有限大小有关的效应对模式的影响；可压缩性的影响。其主要思想是使用一种基于寻找被动标量线性扩散-平流方程的主导线性模式的方法，无论是在连续时间还是在离散时间。然后，这些振型将被用于主动非线性问题的稳定性分析和非线性结构的构造。在所有阶段，将遵循与流动中颗粒的拉格朗日动力学的联系，包括惯性和Basset力作用于有限尺寸颗粒的情况。该理论的可能应用在于构建有效混合的微流控构型。