BROWNIAN ELECTRORHEOLOGICAL FLUIDS AS A MODEL FOR FLOCCULATED DISPERSIONS

The rheological behavior of Brownian electrorheological (ER) fluids is studied as a model for flocculated colloidal dispersions. The ER flui d has the advantages that the interparticle potential energy can be va ried by simply changing the applied field strength, and the microstruc ture consists of essentially linear chains of particles aligned with t he field direction. Under simple shear flow, the suspension has a high -shear-rate Newtonian viscosity and a shear thinning viscosity at lowe r shear rates. For moderate attractive potential well depths, U-min/kT , the suspension has a low-shear viscosity that scales as exp(U-min/kT ). Furthermore, the low-shear limiting behavior is seen at shear rates that scale as exp(-U-min/kT). A theory is proposed that makes use of the time scale of diffusion for aggregated particles out of their mutu al potential well, tau similar to (a(2)/D)(kT/U-min)exp(U-min/kT), muc h in the spirit of the Eyring theory. Here a is the particle radius an d D is the diffusivity of an isolated particle. When the shear rate is nondimensionalized by tau, the reduced viscosity data for all field s trengths collapse onto a single universal curve. Although we use a rel atively small monolayer suspension, our simulation results compare wel l to the limited experimental and theoretical work on Brownian ER susp ensions. The scaling relationship for the low-shear viscosity has also been evidenced in other studies of flocculated dispersions. (C) 1996 Society of Rheology.