(542e) Aggregation Modeling Using Sinc Methods of Solution to the Steigles Formulation of the Population Balance

Aggregation and breakage processes are modeled the population balance equation, which accounts for the particles in the system. The population balance is an integro-partial differential equation that is coupled to the mass, heat and momentum balance equations that are simply partial differential equations. The population balance can be written in various forms, e.g. discrete or cumulative number as well as discrete or cumulative mass, with various bases, e.g. particle size or particle volume, as the internal coordinate. The population balance in all of these forms and bases is still an integro-partial differential equation. This paper solves the cumulative mass population balance in Steigles integral form using Sinc collocation, a finite element method, for several problems including deaggregation of fractal aggregates, aggregation of polystyrene latex particles and the combination of aggregation and breakage of NaCl crystals.