Nonlinear stability of viscous pressure or gravity driven multilayer flows

粘性压力或重力驱动的多层流的非线性稳定性

• 批准号: 1943246
• 金额: --
• 依托单位: Imperial College London
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2017
• 资助国家: 英国
• 起止时间: 2017 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-1943246
• 关键词: Nonlinear; stability; viscous; pressure; gravity

Multilayer flows arise whenever a physical or technological process involvesseveral liquids. In numerous applications the liquids are also immiscible and so when caused to flow they form sharp interfaces separating different phases. Examples include extrusion processes in manufacturing, coating processes for electronics or advanced materials, distillation columns in chemical engineering applications, as well as physiological and geological applications.The mathematical problem is very complicated due to the unknown positions of interfaces that need to be calculated as part of the solution. This project centres on the nonlinear stability of such flows in the strongly nonlinear regime for three or more immiscible stratified fluids. Several effects will be explored including strong surface tension, textured bounding walls (either superhydrophobic or elastic), and external effects that can be used in flow control such as fluid injection/suction and applied electric fields. The project will use mathematical modelling, analysis and computations to obtain the behaviour of this class of flows.

当物理或技术过程涉及多种液体时，就会出现多层流。在许多应用中，液体也是不混溶的，因此当导致流动时，它们形成分离不同相的尖锐界面。示例包括制造中的挤出工艺、电子或先进材料的涂层工艺、化学工程应用中的蒸馏塔以及生理和地质应用。由于需要计算作为解决方案的一部分的界面位置未知，因此数学问题非常复杂。该项目的重点是三种或多种不混溶分层流体的强非线性区域中此类流动的非线性稳定性。将探索多种效应，包括强表面张力、纹理边界墙（超疏水或弹性）以及可用于流量控制的外部效应，例如流体注入/抽吸和施加电场。该项目将使用数学建模、分析和计算来获得此类流的行为。