"Nonlinear Stability of Interfacial Fluids in Microchannels" Entwicklung von numerischen und asymptotischen Modellen zur Beschreibung des Stabilitätsverhaltens von Grenzflächenströmungen in Mikrokanälen unter dem Einfluss von elektrischen Feldern.

液膜流动发生在流体力学的许多应用中，包括冷却系统、涂层过程、燃烧和生物应用。这种系统的稳定性和非线性状态的基本分析是有意义的，因为动力学可以提高热量和质量传递率等量。众所周知，电场可以用来控制重要的物理方面，如界面稳定性和破裂事件中奇点的发生。虽然对微通道中界面流动的线性和非线性稳定性的研究已经很多，但对电场作用于这些流动的影响的研究却很少。最近，新泽西理工大学的实验表明，当电场作用于流体时，微通道界面流动中的非线性破裂机制。使用有限的电极，由于磁场产生不稳定性，可以以开关方式控制流量。到目前为止，还没有对整个问题进行详细的研究。为了更好地理解电气化微流控界面流动的非线性稳定性，本研究提出了一个系统的完整数值模拟技术上重要的电气化泊泽维尔微通道流动。特别关注界面稳定性、行波形成和液滴事件。

Liquid film flows occur in many applications of fluid mechanics including cooling systems, coating processes, combustion, and biological applications. The fundamental analysis of the stability and nonlinear states of such systems is of interest since the dynamics can enhance quantities such as heat and mass transfer rates. It is well known that electric fields can be used to control important physical aspects such as the properties of interfacial stability and the onset of singularities during rupture events. Although there have been numerous studies of the linear and nonlinear stability of interfacial flows in micro channels, research on the effects of electric fields acting on these flows is very rare. Recently, experiments at the NJIT have shown a nonlinear breakup mechanism in microchannel interfacial flow when an electric field acts on the fluids. Using finite electrodes, the flow can be controlled in a switching manner since the field produces instability. Detailed studies of the full problem have not been carried out so far. To improve understanding of the nonlinear stability of electrified microfluidic interfacial flows that cannot be addressed by asymptotic approaches, a full numerical simulation of the technically important electrified Poiseuille microchannel flow in a systematic way is proposed in this research. Special attention is devoted to interfacial stability, traveling wave formation, and droplet events.