Roll Cells and Disclinations in Sheared Nematic Polymers
J. J. Feng, J. Tao and L. G. Leal
J. Fluid Mech. 449, 179-200 (2001)
Abstract - We use the Leslie-Ericksen theory to simulate
the shear flow of tumbling nematic polymers. The objectives are to explore
the onset and evolution of the roll-cell instability and to uncover the
flow scenario leading to the nucleation of disclinations. With increasing
shear rate, four flow regimes are observed: stable simple shear, steady
roll cells, oscillating roll cells and irregular pattern with disclinations.
In the last regime, roll cells break up into an irregular and fluctuating
pattern of eddies. The director is swept into the flow direction in formations
called ``ridges'', which under favorable flow conditions split to form
pairs of +1 and -1 disclinations with nonsingular cores. The four regimes
are generally consistent with experimental observations, but the mechanism
for defect nucleation remains to be verified by more detailed observations.
* A shorter version of this paper has been presented at
the XIIIth Int. Congr. Rheol., Cambridge, UK. August, 2000. See Proc.
XIIIth Int. Congr. Rheol., Edited by D. M. Binding et al., Vol. 2,
91 - 93 (2000).