Multiscale rheological modeling of complex fluids

该项目的一部分是对宏观系统从微观到介观和宏观观点过渡过程中出现的新现象的基础研究。它的主要目标之一是确定控制方程的一般框架，以确保它们的解与某些基本实验观测的结果一致。然后在第二部分将该框架应用于复杂流体的流变学和热力学建模。目的是建立分子和微观结构性质与介观性质(如热力学、流变学和力学性质)之间的关系。根据技术上的重要性和我们获得的互补的、以实验为导向的研究结果，选择特定的复合流体。我们建议继续研究：(I)聚合物流体的不相容混合物(包括流动下从相容到不相容的通道)，(Ii)聚合物-层状硅酸盐纳米复合材料，(Iii)牛顿流体和聚合物流体中的半稀胶体悬浮液，(Iv)受湍流影响的稀释聚合物溶液(减阻问题)，以及(V)玻璃。

A part of the project is a fundamental research in the emergence of new phenomena in the passage from microscopic to mesoscopic and macroscopic viewpoints of macroscopic systems. One of its main objectives is to identify a general framework for the governing equations guaranteeing that their solutions agree with results of certain fundamental experimental observations. The framework is then applied in the second part to rheological and thermodynamic modeling of complex fluids. The objective is to establish a relation between molecular and microstructural properties on the one side and mesoscopic properties (like thermodynamic, rheological, and mechanical properties) on the other side. Specific complex fluids are chosen according to the importance in technology and according to our access to results of a complementary, experimentally oriented, research. We propose to continue to investigate: (i) immiscible blends of polymeric fluids (including the passage from miscibility to immiscibility under flow), (ii) polymer-layered silicate nanocomposites, (iii) semidilute colloidal suspensions in Newtonian and polymeric fluids, (iv) dilute polymeric solutions subjected to turbulent flows (the problem of drag reduction), and  (v) glasses.