Modelling particle growth under saturated and starved conditions in emulsion polymerization

Modelling of particle growth under saturated and starved conditions in emulsion polymerization was investigated in order to allow describing the broadening of the particle size distribution and account for the effects of restricted diffusion inside the monomer-swollen polymer particles. In emulsion polymerization, if particle nucleation and coagulation are avoided, the reaction proceeds as a consequence of radical capture, desorption, and termination reactions inside the particles. Therefore, first, investigation of radical entry and desorption models was done under saturation of polymer particles with monomer, where diffusion parameters are constant. The discrimination criterion of the different models was based on fitting the reaction and the total particle size distribution. Indeed, the broadening of the particle size distribution was found to reveal a dependency of radical capture on the particle size; such an effect would be misestimated if only the mean particle size is considered. Second, the models for starved conditions that account for the variation of radical diffusion inside the polymer particles, such as the gel and glass effects, were investigated with comparison to a wide variety of experimental conditions spanning from weak to strong gelation. The dominating mechanisms as well as the interests of both intervals are highlighted. This article is protected by copyright. All rights reserved

[1]  A. Zuikov,et al.  Emulsion polymerization of polar monomers , 1977 .

[2]  José M. Asua,et al.  A New Model for Radical Desorption in Emulsion Polymerization , 2003 .

[3]  J. Asua,et al.  Entry and exit rate coefficients in emulsion polymerization of styrene , 1991 .

[4]  Francis J. Doyle,et al.  Control of particle size distribution described by a population balance model of semibatch emulsion polymerization , 2000 .

[5]  Stuart C. Thickett,et al.  Emulsion polymerization : State of the art in kinetics and mechanisms , 2007 .

[6]  R. Gilbert,et al.  Particle size distributions in electrosterically stabilized emulsion polymerization systems: testing the 'mid-chain-radical' hypothesis , 2008 .

[7]  Brian S. Hawkett,et al.  Analysis of interval III kinetic data for emulsion polymerizations , 1981 .

[8]  W. Ray,et al.  On the Mathematical Modeling of Emulsion Polymerization Reactors , 1974 .

[9]  D. H. Napper,et al.  The Direct Determination of Kinetic Parameters in Emulsion Polymerization Systems , 1983 .

[10]  T. McKenna,et al.  Particle Formation in Vinyl Chloride Emulsion Polymerization: Reaction Modeling , 2009 .

[11]  K. Tauer,et al.  Radical Desorption Kinetics in Emulsion Polymerization. 1. Theory and Simulation , 2008 .

[12]  R. N. Mead,et al.  Free-radical transport from latex particles , 1989 .

[13]  D. H. Napper,et al.  The Entry of Free Radicals Into Polystyrene Latex Particles , 1988 .

[14]  G. Arzamendi,et al.  Choice of monomer partition model in mathematical modeling of emulsion copolymerization systems , 1995 .

[15]  D. H. Napper,et al.  ENTRY OF FREE RADICALS INTO LATEX PARTICLES IN EMULSION POLYMERIZATION , 1991 .

[16]  F. J. Schork,et al.  Simulation of mini/macro emulsion polymerizations. I: Development of the model , 1993 .

[17]  M. El-Aasser,et al.  Effect of a Mixed Anionic−Nonionic System of Surfactants on the Entry and Exit of Free Radicals into Polystyrene Particles , 2000 .

[18]  S. Sajjadi Population Balance Modeling of Particle Size Distribution in Monomer-Starved Semibatch Emulsion Polymerization , 2009 .

[19]  Finn Knut Hansen,et al.  Kinetics and Mechanism of Emulsion Polymerization , 1976 .

[20]  Francis J. Doyle,et al.  Population balance PSD model for emulsion polymerization with steric stabilizers , 2003 .

[21]  Mohamed S. El-Aasser,et al.  Manipulation of competitive growth for particle size control in emulsion polymerization , 1997 .

[22]  R. Marchessault,et al.  The solubility and swelling of latex particles , 1965 .

[23]  D. H. Napper,et al.  Improved methods for solving the smith — ewart equations in the steady state , 1981 .

[24]  D. H. Napper,et al.  Entry rate coefficients in emulsion polymerization systems , 1986 .

[25]  J. Asua,et al.  Nonlinear control for maximum production rate of latexes of well-defined polymer composition , 1997 .

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

[27]  N. Friis,et al.  A kinetic study of the emulsion polymerization of vinyl acetate , 1973 .

[28]  Mazen Alamir,et al.  Constrained Nonlinear Predictive Control for Maximizing Production in Polymerization Processes , 2007, IEEE Transactions on Control Systems Technology.

[29]  D. H. Napper,et al.  Free radical exit in emulsion polymerization. I. Theoretical model , 1994 .

[30]  M. Harada,et al.  STUDIES OF THE EFFECT OF POLYMER PARTICLES ON EMULSION POLYMERIZATION , 1971 .

[31]  D. Sundberg,et al.  Radical Entry in Emulsion Polymerization: Estimation of the Critical Length of Entry Radicals via a Simple Lattice Model , 2002 .

[32]  C. McAuliffe,et al.  Solubility in Water of Paraffin, Cycloparaffin, Olefin, Acetylene, Cycloolefin, and Aromatic Hydrocarbons1 , 1966 .

[33]  M. Litt,et al.  The Reinvestigation of Vinyl Acetate Emulsion Polymerization (I) -The Rate of Polymerization , 1981 .

[34]  W. D. Harkins,et al.  A general theory of the mechanism of emulsion polymerization. , 1947, Journal of the American Chemical Society.

[35]  J. Asua,et al.  Radical desorption in emulsion polymerization , 1989 .

[36]  J. L. Gardon Emulsion polymerization. I. Recalculation and extension of the Smith‐Ewart theory , 1968 .

[37]  B. Brooks,et al.  Measurements of the rate of radical desorption from polymer latices during emulsion polymerisation , 1981 .

[38]  R. H. Ewart,et al.  Kinetics of Emulsion Polymerization , 1948 .

[39]  D. H. Napper,et al.  Free radical exit in emulsion polymerization. II. Model discrimination via experiment , 1994 .

[40]  R. Gilbert,et al.  Particle Size Distributions , 1997 .

[41]  Klaus Tauer,et al.  Brownian Dynamics Simulation of the Capture of Primary Radicals in Dispersions of Colloidal Polymer Particles , 2007 .

[42]  Robert G. Gilbert,et al.  Modelling particle size distributions and secondary particle formation in emulsion polymerisation , 1998 .