We study flow phenomena of nematic liquid crystals with variable degree of orientation. There are three non-dimensional parameters, the Ericksen number, the Reynolds number and the Interface number that are very relevant in determining 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 boundary value problem for the stationary system.
|Original language||English (US)|
|Number of pages||16|
|Journal||International Journal of Engineering Science|
|State||Published - Jun 1 2000|
|Event||The Eringen Symposium Dedicated to Pierre-Gilles De Gennes - 36th Annual Technical Meeting of the Society of Engineeing Science - Pullman, WA, USA|
Duration: Sep 27 1998 → Sep 30 1998