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Abstract
Motivated by the onedropfilling (ODF) method for the industrial manufacturing of liquid crystal displays, we analyze the pressuredriven flow of a nematic in a channel with dissipative weak planar anchoring at the boundaries of the channel. We obtain quasisteady asymptotic solutions for the director angle and the velocity in the limit of small Leslie angle, in which case the key parameters are the Ericksen number and the anchoring strength parameter. In the limit of large Ericksen number, the solution for the director angle has narrow reorientational boundary layers and a narrow reorientational internal layer separated by two outer regions in which the director is aligned at the positive Leslie angle in the lower half of the channel and the negative Leslie angle in the upper half of the channel. On the other hand, in the limit of small Ericksen number, the solution for the director angle is dominated by splay elastic effects with viscous effects appearing at first order. As the Ericksen number varies, there is a continuous transition between these asymptotic behaviors, and in fact the two asymptotic solutions capture the behavior rather well for all values of the Ericksen number. The steadystate value of the director angle at the boundaries and the timescale of the evolution toward this steadystate value in the asymptotic limits of large and small Ericksen number are determined. In particular, using estimated parameter values for the ODF method, it is found that the boundary director rotation timescale is substantially shorter than the timescale of the ODF method, suggesting that there is sufficient time for significant transient flowdriven distortion of the nematic molecules at the substrates from their required orientation to occur.
Original language  English 

Article number  062703 
Journal  Physical Review E 
Volume  102 
Issue number  6 
DOIs  
Publication status  Published  18 Dec 2020 
Keywords
 liquid crystal displays
 nematic liquid crystal
 alignment layers
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 1 Finished

Industrial Case Account 2016  Cousins, Joseph
Wilson, S., Mottram, N. & Cousins, J.
EPSRC (Engineering and Physical Sciences Research Council)
1/10/16 → 25/11/21
Project: Research Studentship Case  Internally allocated