D. Quemada, CONCENTRATED COLLOIDAL SUSPENSIONS AT LOW IONIC-STRENGTH - A HARD-SPHERE MODEL OF ZERO SHEAR VISCOSITY, INVOLVING THE HARD-SPHERE PHASE-TRANSITIONS, Europhysics letters, 25(2), 1994, pp. 149-155
The second electroviscous effect observed in charge-stabilized monodis
perse colloidal suspensions as the ionic strength is lowered is tentat
ively predicted from a Hard-Sphere model of zero-shear viscosity eta0
which depends on an effective volume fraction, phi(eff), directly rela
ted to the HS diameter d(HS) defined from Russel's HS approximation. T
he model involves the well-known HS phase transitions (phi(O) = 0.494
for <<freezing>> and phi(DO) = 0.545 for <<melting>>) through the foll
owing assumptions: i) as phi(eff) < phi(O) (i.e. in the liquid phase)
the maximum packing fraction phi(m), involved in eta0, remains close t
o phi(RCP) = 0.637, the random close packing, usually observed in expe
riments on rigid-sphere suspensions; ii) as phi(O) < phi(eff) < phi(DO
) (i.e. in the coexisting phase domain) phi(m) decreases continuously
from phi(RCP) to phi(DO). Model predictions are found in remarkable ag
reement with viscosity measurements (by C. Allain et al., 1933) on a c
olloidal silica suspension (for which an almost complete knowledge of
physico-chemical characteristics is available), especially the variati
ons of the zero shear viscosity vs. the actual volume fraction of part
icles, at ionic strength varying from 0.001 to 0.1 Mol dm-3 NaCl.