TITLE:

Poiseuille Flow of Nematic Liquid Crystals

Author(s): M. Carme Calderer  and   Chun Liu
Status: Accepted by International Journal for Engineering Sciences and Mechanics
Report #: AM193, Math. Dept., Penn State.

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Abstract:

We study flow phenomena of nematic liquid crystals with variable degree of orie ntation. there are three nondimensional parameters, the Ericksen number, the Reynolds number and the Interface number that are very relevant in de termining the flow behavior. We establish a dissipative relation for the governing system that holds for general flow domains. In the case of plane Poiseuille flow, we study the well-posedness of the governing system of differential equations. We discuss stationary configurations with many defects that are due to the large Ericksen number of the flow. We also present numerical simulations of the of the bounda ry value problem for the stationary system. We study flow phenomena of nematic liquid crystals with variable degree of orie ntation. there are three nondimensional parameters, the Ericksen number, the Reynolds number and the Interface number that are very relevant in de termining the flow behavior. We establish a dissipative relation for the governing system that holds for general flow domains. In the case of plane Poiseuille flow, we study the well-posedness of the governing system of differential equations. We discuss stationary configurations with many defects that are due to the large Ericksen number of the flow. We also present numerical simulations of the of the bounda ry value problem for the stationary system.

URL(s): http://www.math.psu.edu/mcc     http://www.math.psu.edu/liu    

Email(s): mcc@math.psu.edu     liu@math.psu.edu