Direct numerical simulations of elastic filament suspensions and multi-scale modeling of soft-particle suspensions

0853673年轻人该奖项是根据2009年《美国复苏和再投资法案》(公法第111-5条)资助的。软颗粒(如粘性液滴或弹性细丝)的悬浮液在微米、纳米和生物流体应用中普遍存在。对它们对简单流动和外力(如重力或电场)的动力学响应的量化是微纳流体工程和科学取得变革性进展的关键。然而，尽管进行了广泛的研究，但到目前为止，对于动力学宏观流体性质和微观结构动力学之间的关系，研究还没有达到理想的可预测性。PI计划进行理论、数值和实验相结合的研究，以探讨宏观流体性质和微观粒子动力学之间的基本关系。将开发有效的数值能力来直接模拟弹性纤维的悬浮(包括不可伸展和有限可伸展)。重点将放在相互作用的细丝的动力学和悬浮流的宏观动力学和特性之间的定量关联。推导出具有代表性的弹性细丝简化模型，并将其用于建立半柔性细丝流动的连续介质模型。为了验证建模方法的有效性，将直接与数值模拟和实验进行比较。这些跨学科研究任务将通过开设课程和招收代表性不足的少数族裔学生，与本科生和研究生的教育工作相结合。

0853673 YoungThis award is funded under the American Recovery and Reinvestment Act of 2009 (Public Law 111-5). Suspensions of soft particles (such as viscous drops or elastic filaments) are ubiquitous in micro-, nano- and bio-fluidic applications. Quantification of their dynamical response to simple flows and external forcing (such as gravity or electric field) is the key to transformative advancement in micro- and nano-fluidic engineering and sciences. Despite extensive research, however, investigations to date fall short of the desirable predictability of the relations between dynamical macroscopic fluid properties and the microstructural dynamics. The PI plans a synergistic theoretical, numerical and experimental study to investigate the fundamental relations between macroscopic fluid properties and microstructural particle dynamics. Efficient numerical capabilities will be developed to directly simulate suspension of elastic fibers (both inextensible and finitely extensible). Focus will be placed on quantitative correlation between dynamics of interacting filaments and the macroscopic dynamics and properties of the suspension flow. A representative reduced model for an elastic filament will deduced, and will be utilized for developing a continuum model for semi-flexible filament flow. Direct comparison against numerical simulations and experiments will be conducted to validate the modeling approaches. These interdisciplinary research tasks will be integrated with educational efforts at the undergraduate and graduate levels through courses and recruitment of under-represented minority students.