Abstract
Abstract A dispersive mixing model was developed for the case where separation of the fragments following rupture of agglomerates primarily determines the dynamics of the mixing process. The agglomerate dispersion process that occurs according to this model was analyzed by considering the relative motion of fragments subject to the effective van der Waals and hydrodynamic forces through fragment trajectory analysis. For a particular test case, model predictions of the dynamics of the agglomerate size distribution were investigated in four different bulk flow fields: simple shear flow, pure elongational flow, uniaxial extensional flow, and biaxial extensional flow. The efficiency of each of these flow fields in dispersing solid agglomerates was compared on the basis of power requirements for a given degree of mixing. The results of this analysis provide useful guidelines for the design of mixing equipment.
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