Steady poiseuille flow in nematics : theory of the uniform instability
- 1 January 1976
- journal article
- Published by EDP Sciences in Journal de Physique
- Vol. 37 (10) , 1115-1124
- https://doi.org/10.1051/jphys:0197600370100111500
Abstract
We study the stability of a Poiseuille flow in a planar nematic, with respect to a uniform distortion of the director. We develop a linearized hydrodynamic theory which allows one to characterize the symmetry of the unstable modes. One expects two types of solutions according to the presence or not of a net transverse flow. An exact solution is given in a simple case which shows that the instability with net transverse flow corresponds to the lowest threshold in agreement with experimental resultsKeywords
This publication has 1 reference indexed in Scilit:
- Shear flow instability in nematic liquids : theory steady simple shear flowsJournal de Physique, 1976