Thin film flow over flexible membranes containing surface texturing: Bio-inspired solutions
Thin film flow over flexible membranes containing surface texturing: Bio-inspired solutions
复制标题
DOI：
10.1243/13506501jet552
复制
发表时间：
2009-03
期刊：
影响因子：
--
通讯作者：
Y. C. Lee;H. Thompson;P. Gaskell
中科院分区：
文献类型：
--
作者：
Y. C. Lee;H. Thompson;P. Gaskell
摘要 使用润滑理论对包含表面形貌的柔性膜上重力驱动的连续薄液膜流进行建模。使用具有自动网格细化和自适应时间步长的最先进的全近似存储多重网格算法来求解膜厚度、压力和膜偏转的相关耦合非线性方程组，以便在需要精细尺度分辨率时最大限度地提高计算效率，同时确保微尺度上精确的独立于网格的解决方案。该方法的稳健性通过一系列问题的解决以及与等效完全刚性膜上相同流量的比较来证明。结果表明，前者与后者有很大不同，因为薄膜厚度影响柔性膜的形状，而柔性膜的柔顺性反过来又影响所产生的自由表面扰动的轮廓。
Abstract Gravity-driven continuous thin liquid film flow over a flexible membrane containing surface topography is modelled using lubrication theory. The associated coupled non-linear equation set, for the film thickness, pressure and membrane deflection, is solved using a state-of-the-art full approximation storage multi-grid algorithm with automatic mesh refinement and adaptive time-stepping, in order to maximize computational efficiency when fine-scale resolution is required while ensuring accurate mesh-independent solutions at the micro-scale. The robustness of the approach is demonstrated through the solution of a series of problems and comparisons drawn with the same flow on an equivalent completely rigid membrane. It is shown that the former differs considerably from the latter in that the film thickness affects the shape of the flexible membrane, the compliance of which in turn impinges on the profile of the resulting free-surface disturbance.