Am. Wierenga et Ap. Philipse, LOW-SHEAR VISCOSITY OF ISOTROPIC DISPERSIONS OF (BROWNIAN) RODS AND FIBERS - A REVIEW OF THEORY AND EXPERIMENTS, Colloids and surfaces. A, Physicochemical and engineering aspects, 137(1-3), 1998, pp. 355-372
A review is presented of the low-shear theology of isotropic rod dispe
rsions. Various theoretical descriptions are compared, and trends in e
xperiments on a variety of rods and rodlike polymers are identified an
d discussed. For dilute dispersions, the intrinsic viscosity [eta] is
only a function of the rod dimensions and hardly depends on specific s
ystem characteristics like chain flexibility, weak colloidal attractio
ns, Brownian motion and surface roughness. For a large range of aspect
ratios (20 < r < 1000), the asymptotic result of Onsager: [eta] appro
ximate to (4r(2)/15 In r) predicts intrinsic viscosities surprisingly
well. At higher particle concentrations though, the shear viscosity is
dominated by specific interactions between the rods. For Brownian rod
s, the semi-empirical ''Krieger-Dougherty'' equation predicts the visc
osity fairly well. The dramatic effect of deviations from hard-rod int
eractions can be modelled by adapting the isotropic volume fraction at
which the low-shear viscosity diverges. The viscosity data of non-Bro
wnian fibres are better described by the ''Quemada'' or ''Maron-Pierce
'' equation. Experiments on well-defined (inorganic) model colloids ar
e needed to quantify the concentration-dependence of the low-shear vis
cosity for rod dispersions. Theoretical calculations are still incapab
le of predicting this dependence. (C) 1998 Elsevier Science B.V.