Prediction of crystallization coefficients of the population balance

In the last years much work has been carried out in the areas of crystallization and precipitation in order to predict the crystal size distribution. In the well-established population balance many kinetic coefficients appear which are sometimes difficult to determine. The objective of this paper is to present equations for these coefficients based on physical models and valid for systems in wide ranges of solubilities and supersaturations.

[1]  A. E. Nielsen,et al.  Nucleation and Growth of Crystals at High Supersaturation , 1969 .

[2]  Y. Adachi.  Dynamic aspects of coagulation and flocculation , 1995 .

[3]  L. Spielman.  Hydrodynamic Aspects of Flocculation , 1985 .

[4]  A. Randolph,et al.  Mechanisms and kinetic modeling of calcium oxalate crystal aggregation in a urinelike liquor. Part II: Kinetic modeling , 1986 .

[5]  N. Fuchs.  Über die Stabilität und Aufladung der Aerosole , 1934 .

[6]  William R. Paterson,et al.  Aggregation and gelation. I: Analytical solutions for CST and batch operation , 1994 .

[7]  William R. Paterson,et al.  Orthokinetic Aggregation During Precipitation: A Computational Model for Calcium Oxalate Monohydrate , 1997 .

[8]  J. Abrahamson.  Collision rates of small particles in a vigorously turbulent fluid , 1975 .

[9]  J. Israelachvili.  Intermolecular and surface forces , 1985 .

[10]  P. Saffman,et al.  On the collision of drops in turbulent clouds , 1956, Journal of Fluid Mechanics.

[11]  A. Mersmann.  Crystallization Technology Handbook , 2001 .

[12]  M. Smoluchowski.  Versuch einer mathematischen Theorie der Koagulationskinetik kolloider Lösungen , 1918 .

[13]  R. Kuboi,et al.  BEHAVIOR OF DISPERSED PARTICLES IN TURBULENT LIQUID FLOW , 1972 .

[14]  René David,et al.  Crystallization and precipitation engineering—III. A discrete formulation of the agglomeration rate of crystals in a crystallization process , 1991 .

[15]  A. Randolph,et al.  Mechanisms and kinetic modeling of calcium oxalate crystal aggregation in a urinelike liquor. Part I: Mechanisms , 1986 .

[16]  A. Mersmann.  General prediction of statistically mean growth rates of a crystal collective , 1995 .

[17]  F. Kruis.  The Collision Rate of Particles in Turbulent Flow , 1997 .

[18]  L. Spielman.  Viscous interactions in Brownian coagulation , 1970 .