Wetting of Elastic Fibres: A Novel Immersed Boundary-Lattice Spring-Lattice Boltzmann Simulation Approach

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Fibrous structures are versatile materials. They are abundant in nature, as observed in feathers, hairs, spider webs and adhesive pads of insects. They are also widely exploited in engineered systems, from the familiar examples of papers and textiles to high-precision micro- and nano-technologies. For many fibrous materials, their interaction with liquids is of paramount importance. Due to the small size of the fibres, capillary action (as observed e.g. in the drawing up of liquids in plants) often plays the dominant role. Furthermore, the action of capillarity deforms the fibres, which results in an opposing force due to elasticity. This competition between elasticity and capillarity - elastocapillarity - finds its relevance in a wide range of applications, including liquid penetration in wipes and nappies, and the clumping of hairs in the tarsi of insects and of barbules in marine bird feathers.Despite the numerous industrial applications and common occurrence in nature, our understanding of elastocapillary response of wet fibres is still very limited. Recent experiments suggest that pattern formation in nanostructures can be manipulated by elastocapillary dynamics; the capture of drops and their splashing, of relevance to the application of pesticides or herbicides among others, depend on the fibre geometry and flexibility. These are just a few of many elastocapillary phenomena ripe for investigations, especially using computer simulations, since the intricate interplay between fibre geometry, elasticity and capillarity quickly makes analytical treatments intractable. Unfortunately, simulation methods that can capture solid deformation, flow of liquids, and capillary forces are currently not available. Thus, it is my aim in this project is to deliver a numerical platform able to tackle such a challenge. This project is rooted in my recent research advances in simulation techniques for wetting phenomena. As a proof of principle, to demonstrate that the novel method can capture wetting dynamics on soft materials, I will examine the spreading of small droplets on two elastic fibres oriented at various angles with respect to each other, and I will study the removal of these droplets under the action of a body force such as gravity. These are paradigmatic examples for understanding the arrangement and cleaning properties of natural and synthetic wet fibre assemblies.My new simulations will be validated against experimental data provided by Procter and Gamble, where wetting of elastic fibres is relevant for many of their products, ranging from adsorbent materials (including nappies and wipes) to personal hygiene products (e.g. shampoos and laundry detergents).If successful, my novel approach will open an unprecedented route to model static and dynamic elastocapillary phenomena embedded in complex geometries. As such, it will advance our understanding of elastocapillarity, and help channel fundamental scientific insights into design principles for practical applications.