Collaborative Proposal: Theoretical and Experimental Analysis of Wormlike Micellar Solutions and Polymeric Fluids

在这个项目下，我们将开发复杂流体的预测模型，特别是蠕虫状胶束溶液和聚合物流体。与牛顿流体(如水)不同，这些复杂的流体表现出剪切速率相关的粘度和弹性效应。这些流体的流动表现出纯粹的弹性不稳定性、显著的热敏感性、流动条件的不均质性(剪切条带、剪切诱导构造、分离)和早期破裂。基于微观结构考虑的数学模型将开发出符合双流体效应和胶束破碎和重整的数学模型。对非局部条件下的非线性偏微分方程组的初边值问题的解进行了分析、数值模拟、稳定性检验，并与剪切和瞬变单轴拉伸流动中的详细实验结果进行了比较。实验将指导建模，建模将反过来指导实验测量。这项研究的结果将成为在使用和加工过程中控制这些液体的基础。聚合物液体和蠕虫状胶束溶液今天普遍存在，用于油漆、塑料、食品、洗涤剂、制药、农用化学品喷雾和石油回收。对这些混合物在流动条件下的性质的基本了解对于它们的有效使用是至关重要的。通过多学科合作，该项目开发了用于控制这些复杂流体流动的预测工具。这项工作作为一个重要的经济部门的预测工具具有潜在的应用价值。

Under this project we will develop predictive models of complex fluids, particularly wormlike micellar solutions and polymer fluids. As opposed to Newtonian fluids (such as water), these complex fluids exhibit shear-rate-dependent viscosities and elastic effects. Flows of these fluids exhibit purely elastic instabilities, pronounced thermal sensitivity, inhomogeneities in flow conditions (shear banding, shear induced structures, demixing), and early fracture. Mathematical models based on microstructural considerations will be developed consistent with two-fluid effects and with micellar breaking and reforming. The solutions of the resultant initial-boundary value problems for coupled systems of nonlinear partial differential equations with a non-local condition will be analyzed, numerically simulated, examined for stability characteristics, and compared with detailed experimental results in both shear and transient uniaxial extensional flows. The experiments will guide the modeling, and the modeling will in turn guide experimental measurements. The results of this research will form a basis for control of these fluids in use and in processing.Polymer fluids and wormlike micellar solutions are ubiquitous today, being used in paints, plastics, foods, detergents, pharmaceuticals, agrochemical sprays, and oil recovery. A basic understanding of the properties of these mixtures under flow conditions is crucial to their effective use. Through a multidisciplinary collaboration, this project develops predictive tools for use in controlling flow of these complex fluids. This work has potential application as a predictive tool for an important sector of the economy.