The Population Balance Equation

1. What DPB Does DPB Is a Mathematica package Data Read from a spread sheet file “Re-grid” size points Interconvert number and weight data Extraction and fitting Extract nucleation, growth, aggregation, selection or sink rate constants Fit models to rate constants Simulation Uses a discretised population balance Solves dynamic problems Solves steady-state problems Plotting Rate constants Moments Particle size distributions Find out how AIChEJ, 34, no. 11, 1821, 1988 J. Coll. Interf. Sci., 203, no 1, 155, 1996 BreakageSizeDependence AggregationSizeDependence NucleationSizeDependence GrowthSizeDependence SinkSizeDependence SelectionSizeDependence AggregationDrivingForce NucleationDrivingForce GrowthDrivingForce SinkDrivingForce SelectionDrivingForce NucleationRateConstant AggregationRateConstant GrowthRateConstant SinkRateConstant SelectionRateConstant Crystallisation Example. Batch experiments with calcium oxalate yield PSDs at regular time intervals. Aggregation and apparent nucleation rates are extracted and correlated. The PBE is solved to predict moments and the PSD. An Interactive Population Balance Tool: DPBM.J. Hounslow, Particle Products Group, Department of Chemical and Process EngineeringThe University of Sheffield, U.K. The Population Balance Equation A statement of continuity relating particle-size distributions (PSDs) to underlying rate processes, such as the rates of growth and aggregation. PSDs are described by number probability density functions n(l,t), where l is particle size and t is time. In words: Accumulation = Nucleation + Growth + Aggregation + Breakage + Sink In symbols: In DPB: AIChE Miami 1998