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
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Is a Mathematica package
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
Uses a discretised population balance
Solves dynamic problems
Solves steady-state problems
Particle size distributions
Find out how
AIChEJ, 34, no. 11, 1821, 1988
J. Coll. Interf. Sci., 203, no 1, 155, 1996
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
AIChE Miami 1998