When one-bond Frenkel dumbbells are allowed to dimerize, as analyzed u
sing the Wertheim theory of association, the resulting fluid exhibits
shear thinning or shear thickening behaviors. In contrast, when Gaussi
an chains undergo shear-assisted association, only shear thickening is
possible. The present theory of shear-induced association of non-Newt
onian fluids is applied to interpret the shear thickening seen in equi
molar solutions of the CTAB (cetyl trimethyl ammonium bromide) micelle
s and sodium salicylate. Also derived in this study are the frequency
dependent Newtonian viscosity and the non-Newtonian viscosity for a di
lute Brownian suspension of two-bond freely jointed Frenkel dumbbells.
(C) 1998 American Institute of Physics.