Fast predictive tools for suspensions of slender fibres in viscous fluids.

该项目旨在开发一个有效的工具箱，用于模拟粘性流体中细长纤维的悬浮液。虽然人们对纤维在粘性流体中的相互作用知之甚少，但这种结构在自然界和工业中经常发生：例如精子聚集在一起，通过挥舞细长的细丝游泳，碳纤维的集合被注塑成型以制造机器零件。目前的模型是定性的或需要大量的计算。该项目将使用胶体悬浮液和最先进的渐近技术的想法，开发一个精致的工具箱，用于收集粘性流中的细长纤维。这些方法可以帮助了解不孕症，开发新技术和优化制造。

This project aims to develop an effective toolbox for modelling suspensions of slender fibres in viscous fluids. Though little is understood about the interactions of fibres in viscous fluids, such configurations occur frequently in nature and industry: e.g. sperm gather together and swim by waving slender filaments, and collections of carbon fibres are injection molded to manufacture machine parts. Current models are qualitative or require large computations. This project will use ideas from colloidal suspensions and state-of-the-art asymptotic techniques to develop a refined toolbox for collections of slender fibres in viscous flow. These methods could help understand infertility, develop new technologies and optimise manufacturing.