An energy-based population-balance approach to model granule growth and breakage in high-shear wet granulation processes

A mathematical model of high shear wet granulation is proposed, where granule breakage, and not growth, is the dominant process. The energy required for granule breakage is assumed to be provided by the impact of granules between themselves and the granulator parts, and the extent of granule breakage determined by the balance between the impactenergy and the work of adhesion between the agglomerating particles. A specific volume of dry powder per unit crack surface area was allowed to reattach to the surface of broken granules to account for granule growth. To verify proposed model conditions, lactose monohydrate was granulated with a relatively low amount (6%) of the binder phase, polyvinyl-pyrrolidone and water, and was added to the powder before granulation. The trend in granule size distribution during the experiment closely follwed the predicted model with an initial increase in the weight fraction of the larger granules. This increase was possibly due to extensive breakage of weaker granules and less extensive breakage, as if by attrition, of stronger granules, accompanied by the attachment of dry powder to the cracked surfaces. Eventually, larger granules experience increased impact energy and break. When excess binder is added and, higher volumes of powder reattach to the crack surface, more large granules form leading to granule overgrowth. This model highlights the importance of the probability of impact per unit time interval (ie, the rate of impact), the strength of the granules and the volume of powder that could attach to the cracked surface in high shear granulation processes where significant granule breakage is encountered. Published: August 10, 2007