Analysis of adhesion and viscous peeling in fluid-structure interactions

材料科学、微工程和生物技术中的各种流固相互作用问题涉及在粘性流体存在的情况下弹性体从衬底上剥离，或者在排出中间流体时这种弹性体与另一个弹性体的逐渐粘合。例如起泡、分层和细胞粘连。最近的分析(Peng&Lister，J.Fluid Mech，2020)揭示了弹性薄片下水平表面上扩散的许多不同的动力学机制。这个项目将应用这种理解，以及理论、数值和渐近方法，以获得解决毛细管或范德华力的浮力和粘附力起作用的新问题的解决方案。可能要解决的问题包括：在弹性薄板下求出沿坡面的小溪水流的渐近解。研究有限横向长度标尺在圆柱、椭圆形和带状物体中的作用。为柔性物体从墙上脱落或湿纤维的动态毛细凝块开发解决方案。在可能的情况下，我们的解决方案将与实验室实验进行比较。

Diverse fluid-structure interaction problems in materials science, micro-engineering and biotechnology involve the peeling of an elastic body away from a substrate in the presence of a viscous fluid, or the progressive adhesion of such a body to another while expelling intervening fluid. Examples include blistering, delamination and cell adhesion. Recent analysis (Peng & Lister, J. Fluid Mech, 2020) has uncovered a host of different dynamical regimes for spread on a horizontal surface under an elastic sheet. This project will apply that understanding, along with theoretical, numerical and asymptotic methods, to obtain solutions to novel problems in which buoyancy and adhesion by capillary or van der Waals forces play a role. Possible problems to be addressed include: To develop asymptotic solutions for rivulet flow down an incline under an elastic sheet. To investigate the role of finite lateral lengthscale for the cases of cylindrical, elliptical and ribbon-like bodies. To develop solutions for a flexible body falling away from a wall, or dynamics capillary clumping of wet fibres. Where possible, our solutions will be compared with laboratory experiments.