A rheological law for hard spheres in purely hydrodynamic interaction
is used to describe,the steady state viscosity of weakly aggregated su
spensions of rigid particles. The shear viscosity only involves the vo
lume fraction and the maximum packing concentration of particles. Part
icle aggregation influences the parameters of the reference viscosity
law. Within the framework of fractal aggregation, we introduce the vol
ume fraction of aggregates and we derive the equilibrium mean radius o
f clusters from an effective medium approximation. The proposed rheolo
gical equation is close to the phenomenological Casson equation for so
ft clusters of fractal dimensionality D = 2. In a second part, we pres
ent rheo-optical experiments for studying the break-up of red cell agg
regates in a shear flow and for determining the critical disaggregatio
n shear stress of the flowing suspension mainly representative of the
surface adhesive energy between particles. The proposed microrheologic
al model well describes viscometric data in the low shear regime and a
llows information about the shear induced restructuration and the life
time of clusters.