Agglomerate Fragmentation

B/ Fragmentation rate g/s Ib/s (AL/Ll Critical agglomerate deformation strain ... 

The ratio of deforming viscous forces to resisting interfacial tension forces in the case of droplets is the capillary number, Ca. Similarly, the ratio of viscous to cohesive forces in agglomerates is the fragmentation number, Fa. 

Rupture of fractal (flocculated) aggregates of polystyrene latices in simple shear flow and converging flow was studied by Sonntag and Russel (1986, 1987b). For simple shear flow and low electrolyte concentrations, the critical fragmentation number decreases sharply with agglomerate radius (R) as... 

Illustration Kinetics of dispersion the two-zone model. The models for agglomerate rupture when integrated with a flow model are useful for the modeling of dispersion in practical mixers, as was discussed for the case of drop dispersion. Manas-Zloczower, Nir, and Tadmor (1982), in an early study, presented a model for the dispersion of carbon black in rubber in a Banbury mixer (Fig. 34). The model is based on several simplifying assumptions Fragmentation is assumed to occur by rupture alone, and each rupture produces two equal-sized fragments. Rupture is assumed to occur... 

The cluster size distribution in the limit of small mass [x < s(f)] depends on the properties of the agglomerates undergoing fragmentation. If infinitesimal particles are formed on a single breakage, that is, b(r) r", then... 

For fractal agglomerates, the critical fragmentation number is inversely proportional to its volume (R/a)3... 

Hansen, S., and Ottino, J. M., Agglomerate erosion A nonscaling solution to the fragmentation equation. Phys. Rev. E S3, 4209-4212 (1996a). 

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