论文标题
部分可观测时空混沌系统的无模型预测
Effect of interface dynamic deformations on instabilities of buoyancy-thermocapillary convection in a two-fluid two-layer system
论文作者
论文摘要
在一系列数值实验中，研究了界面干扰对矩形腔中浮力/热毛细血管对流流不稳定性的影响。考虑到先前发表的实验中使用的液体的特性，对几个两液的两层系统进行了计算。讨论了界面变形与BousSinesQ近似之间的关系。结果表明，在某些系统中，包括模型中的界面干扰可能会将临界温度差异大约10％改变，从而产生稳定或稳定效果。界面振荡显示为站立或行进波，其波长从短波长度到占据所有可用空间的单波不等。粗略的估计表明，在某些液体液体系统中，界面振荡振幅可以达到几十微米。提出和讨论最不稳定的干扰的模式。有人认为，在两层系统中的不稳定性与分层混合层中的Holmboe不稳定性相似。
Effect of interfacial disturbances on instabilities of buoyant/thermocapillary convective flows in rectangular cavities is studied in a series of numerical experiments. The computations are carried out for several two-liquid two-layer systems taking into account properties of liquids used in previously published experiments. Relation between the interface deformations and the Boussinesq approximation is discussed. It is shown that in some systems, including the interface disturbances in the model can alter the critical temperature difference by approximately 10%, producing either destabilizing, or stabilizing effect. The interface oscillations appear as standing or travelling waves whose wavelength can vary from short wave lengths to a single wave occupying all the available space. Rough estimations show that in some liquid-liquid systems the interface oscillations amplitude can reach several tens of microns. Patterns of the most unstable disturbances are presented and discussed. It is argued that instabilities in some two layer systems develop similarly to the Holmboe instabilities in stratified mixing layers.
