This thesis considers the mathematical modelling and analysis of the widely used One Drop Filling (ODF) method for the industrial manufacturing of liquid crystal displays. In the first part of the thesis, we consider three problems relating to the fluid dynamics of nematic liquid crystals (nematics) in the ODF method. In particular, we formulate and analyse a simple model for the squeezed coalescence of several nematic droplets, a squeeze-film model for a single nematic droplet, and a model for pressure-driven channel flow of nematic. Our results give significant insight into nematic flow effects in the ODF method and indicate that these effects could play an essential role in forming unwanted optical effects, known as ODF mura. In the second part of the thesis, we consider a static ridge of nematic resting on an ideal solid substrate surrounded by passive fluid. The analysis of this system gives insight into the initial stage of the ODF method and more general situations involving nematic free surfaces and three-phase contact lines. Specifically, we derive the governing equations for a static ridge, which include nematic Young and Young-Laplace equations, and then use these governing equations to study two related problems. Firstly, we consider the situation in which the ridge is thin and has pinned contact lines. Secondly, we use the nematic Young equations to determine the continuous and discontinuous transitions between the equilibrium states of complete wetting, partial wetting, and complete dewetting that can occur.
|Date of Award||25 Nov 2021|
- University Of Strathclyde
|Sponsors||EPSRC (Engineering and Physical Sciences Research Council)|
|Supervisor||Stephen Wilson (Supervisor) & Nigel Mottram (Supervisor)|