Nc. Andrews et al., CONTINUUM DYNAMIC BEHAVIOR OF HOMOGENEOUS LIQUID-CRYSTALLINE POLYMERSUNDER THE IMPOSITION OF SHEAR AND MAGNETIC, Journal of rheology, 39(6), 1995, pp. 1161-1181
An analysis of the dynamic behavior of polymeric liquid crystals is gi
ven in terms of a second-rank order parameter tensor describing the or
ientational state of the local microstructure. The continuum equations
governing the dynamics of the material are analyzed under both steady
-state and transient conditions for isotropic and liquid-crystalline f
luids subjected to shear and magnetic fields. Analysis reveals that a
great variety of dynamic behavior for liquid-crystalline materials can
be accommodated within the framework of a continuum theory in terms o
f a second-rank order parameter tensor, and that this dynamic behavior
approximates well the orientational behavior obtained with the more c
omplex distribution function theories. Under some conditions the. asso
ciated theological behavior of the continuum theory exhibits discrepan
cies in the normal stress behavior compared to theological calculation
s based on the distribution function theory. For simultaneous applicat
ion of shear and magnetic fields, both the direction and the strength
of the magnetic field play a major role in determining the dynamic sys
tem response. (C) 1995 Society of Rheology.