Collaborative research: Multiphase interfacial hydrodynamics

0509665，沈普渡大学(合作0509094,0509594洛佩兹)合作研究：多相界面流体力学摘要。这一建议的目的是从建模、模拟和实验的角度解决与体流和界面流之间、宏观尺度和介观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。这些对于设计者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)一个通用的变分框架，用于界面流动的模拟以及介观尺度单分子层动力学与宏观尺度整体流动的耦合；(Ii)用于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相结合的努力将极大地促进我们对与单层形成表面活性剂相关的多尺度界面动力学的了解。单层形成表面活性剂经常应用于传统技术中，如材料和食品加工、液体喷射和数据系统中，以及用于并行、低成本DNA测序的新兴技术中。这些行业对经济产生了重大影响。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物质，没有它，呼吸是不可能的。特别是，用于早产儿的激活剂替代疗法的最新发展是一个巨大的成功案例，婴儿死亡率的显著下降直接归功于表面活性物质疗法。因此，彻底了解与多尺度界面单层流体动力学相关的内在物理过程对于该国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.