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Thin film Flow on Functional Surfaces: Stability and Morphology

功能表面上的薄膜流动：稳定性和形态

基本信息

批准号：
1905592
负责人：
金额：
--
依托单位：
Durham University
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-1905592
关键词：
Thin film Flow Functional Surfaces

项目摘要

The research to be undertaken encompasses a theoretical investigation of thin film (Newtonian and non-Newtonian) flows on functional surfaces embodying the appropriate physics. Such flows are ubiquitous within the processing and manufacturing industries. The focus will be: (a) the stability of continuous films on regular, topographically patterned, surfaces; (b) the morphology associated with the partial coverage and de-wetting characteristics of thin films spreading over a partially wetting surface when the latter is chemically homogeneous or chemically patterned leading to sudden changes in the surface energy at prescribed sites. The principal vehicle for deriving appropriate predictive models for the behaviour of the evolving three-dimensional flow for both problems will be the long-wave approximation; the resulting equation set will be solved computationally using state-of-the-art numerical approximations and convergence acceleration algorithms, utilising parallel programming and computing platforms as necessary. An additional simplifying assumption is that evaporation effects will be ignored. In all cases the main diagnostic will be the free-surface shape and deformation relating this, where possible, to the underlying flow structure within the fluid film. The latter will be relatively straight forward for the simplified two-dimensional case of problem (a) and for isolated topographical features in three-dimensions, but will be considerably more challenging for problem (b) - other than in isolated regions of the flow where the film breaks up to form a droplet which can be explored individually.

将进行的研究包括对体现适当物理学的功能表面上的薄膜（牛顿和非牛顿）流动进行理论研究。这种流动在加工和制造业中无处不在。重点将是：（a）在规则的、形貌图案化的表面上的连续膜的稳定性;（B）与在部分润湿的表面上铺展的薄膜的部分覆盖和去湿特性相关的形态，当后者是化学均匀的或化学图案化的时，导致在规定位置处的表面能的突然变化。为这两个问题的演变三维流的行为推导适当的预测模型的主要工具将是长波近似;所得到的方程组将使用最先进的数值近似和收敛加速算法计算求解，必要时利用并行编程和计算平台。一个额外的简化假设是蒸发效应将被忽略。在所有情况下，主要的诊断将是自由表面形状和变形，在可能的情况下，与流体膜内的底层流动结构相关。后者对于问题（a）的简化的二维情况和对于三维中的孤立的形貌特征将是相对直接的，但是对于问题（B）将是相当具有挑战性的-除了在膜破裂以形成可以单独探索的液滴的流动的孤立区域之外。