Collaborative research: Multiphase interfacial hydrodynamics

DMS-0509665，沈，普渡大学（协同0509094 Liu， 0509594 Lopez）本提案的目的是从建模、模拟和实验的角度，解决与体流和界面流之间、高温尺度和中尺度动力学之间以及惯性、粘性和表面流变时间尺度之间的耦合有关的关键问题。这些对于设计表面活性剂的开发是必不可少的：用于特定功能的单层形成材料。预计该项目将提供(i)界面流动建模的一般变分框架，以及中尺度单层动力学与宏观尺度整体流动的耦合；（ii）模拟所提出的多尺度模型的稳健可靠的数值方案。数学分析、计算机模拟和实验测量的结合将大大提高我们对与单层表面活性剂相关的多尺度界面动力学的认识。单层表面活性剂通常应用于传统技术，如材料和食品加工、液体喷射和雾化系统，以及用于并行、低成本DNA测序的芯片实验室等新兴技术。这些产业对经济有重大影响。表面活性剂在生物系统中起关键作用的一个例子是肺表面活性剂，没有它呼吸是不可能的。特别是，最近用于早产儿的表面活性剂替代疗法取得了巨大的成功，婴儿死亡率的显著下降直接归因于表面活性剂治疗。因此，彻底了解与多尺度界面单层流体力学相关的内在物理过程对国家的经济增长和福祉至关重要。

DMS-0509665, Shen, Purdue University (Collaborative 0509094 Liu, 0509594 Lopez)Collaborative research: Multiphase interfacial hydrodynamics Abstract. The aim of this proposal is to address, from the perspectives ofmodeling, simulation and experimentation, the critical issues relatedto the couplings between the bulk and interfacial flows, between themacroscale and the mesoscale dynamics, and between the inertial,viscous and surface rheological time-scales. These are essential forthe development of designer surfactants: monolayer-forming materialsfor specified functions. It is expected that this project willprovide (i) a general variational framework for the modeling ofinterfacial flows as well as for the coupling of mesoscale monolayerdynamics to the macroscale bulk flow; (ii) a robust and reliablenumerical scheme for simulating the proposed multiscale model. Thecombined efforts of mathematical analysis, computer simulations andexperimental measurements will significantly advance our knowledge onthe multiscale interfacial dynamics associated to the monolayerforming surfactants.Monolayer-forming surfactants are routinely applied in traditionaltechnologies such as material and food processing, in liquid jets andatomization systems, as well as in emerging technologies such aslab-on-a-chip for parallel, low-cost DNA sequencing. These industrieshave a major economic impact. An example of surfactants playing acrucial role in biological systems is lung surfactants, without whichrespiration is impossible. In particular, recent developments insurfactant replacement therapy, used on premature infants, is a greatsuccess story where significant decreases in infant mortality aredirectly attributable to the surfactant therapy. Hence, a thoroughunderstanding of the intrinsic physical processes associated with themultiscale interfacial monolayer hydrodynamics is of criticalimportance for the Nation's economic growth and well-being.