Langmuir · 2006 · 30 citations · 27 references
EngineeringMaterials ScienceFluid DynamicsFluid MechanicsRheologyCapillary RheologyFlow BehaviorFluid-structure InteractionRheology Of Colloidal SystemsRheology Of Complex FluidsViscous FlowAggregate StructureBreakupCritical Shear RateDrag ForceParticle AggregationParticle BreakupShear RateShear-induced Structure Formation
We consider single two-dimensional aggregates, containing glass particles, placed at a water/air interface. We have investigated the critical shear rate for break-up of aggregates with different sizes in a simple shear flow. All aggregates break-up nearly at the same shear rate (1.8 +/- 0.2 s(-)(1)) independent of their size. The evolution of the aggregate structure before break-up was also investigated. With increasing shear rate, the aggregates adopt a more circular shape, and the particles order in a more dense, hexagonal structure. A simple theoretical model was developed to explain the experimentally observed break-up. In the model, the aggregate is considered as a solid circular disk that will break near its diameter. The capillary and drag force on the two parts of the aggregate were calculated, and from this force balance, the critical shear rate was found. The model shows a weak size dependence of the critical shear rate for the considered aggregates. This is consistent with the experimental observations.
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Image analysis via the general theory of moments*
M. R. Teague · Journal of the Optical Society of America · 1980 · 2.3K citations