Free radical polymerizations associated with the trommsdorff effect under semibatch reactor conditions. I: Modeling

Several important polymerizations [e.g., poly(methyl methacrylate) (PMMA), polystyrene] exhibit gel and glass effects during polymerization. These are associated with the decrease of the diffusivities of the macroradicals and monomer molecules with increasing viscosities of the reaction mass. A new model has been developed to account for the gel and glass effects, both under batch and semibatch reactor operations. The free volume theory of Vrentas and Duda has been used to account for the changes in the diffusion coefficients. The model parameters are tuned using experimental data on the isothermal bulk and solution polymerizations of MMA in batch reactors. Conversion histories and molecular weights have been obtained for cases where solvent, initiator or monomer are added to (or removed from) the reaction mass after some reaction has taken place. In addition, studies involving step changes in temperature hav been carried out. It is found that the conversion vs. time behavior after such step changes depend upon a complex interplay of three factors: Polymer concentration, molecular weight, and the temperature at the point these changes are effected.

[1]  J. L. Duda,et al.  Diffusion in polymer-solvent systems. II. A predictive theory for the dependence of diffusion coefficients on temperature, concentration, and molecular weight , 1977 .

[2]  J. L. Duda,et al.  Diffusion in polymer—solvent systems. I. Reexamination of the free‐volume theory , 1977 .

[3]  C. Kiparissides,et al.  Modeling of diffusion‐controlled free‐radical polymerization reactions , 1988 .

[4]  S. K. Soh,et al.  Diffusion‐controlled vinyl polymerization. IV. Comparison of theory and experiment , 1982 .

[5]  A. Hamielec Recent developments in free radical polymerization at high conversion-diffusion controlled termination and propagation , 1983 .

[6]  M. Tirrell,et al.  Molecular theory of the Trommsdorff effect , 1981 .

[7]  P. Lagally,et al.  Zur polymerisation des methacrylsäuremethylesters1 , 1948 .

[8]  S. Gupta,et al.  Optimal parameter estimation for methyl methacrylate polymerization , 1991 .

[9]  D. Soong,et al.  Optimization of batch polymerization processes—narrowing the MWD. II. Experimental study , 1985 .

[10]  M. J. Box A New Method of Constrained Optimization and a Comparison With Other Methods , 1965, Comput. J..

[11]  S. Gupta,et al.  Parameter Estimation for Solution Polymerization of Methylmethacrylate , 1993 .

[12]  David S. Soong,et al.  Modeling the free radical solution and bulk polymerization of methyl methacrylate , 1985 .

[13]  J. S. Vrentas,et al.  Influence of Solvent Size on the Concentration Dependence of Polymer-Solvent Diffusion Coefficients , 1980 .

[14]  Costas Kiparissides,et al.  Development of a General Mathematical Framework for Modeling Diffusion-Controlled Free-Radical Polymerization Reactions , 1992 .

[15]  J. L. Duda,et al.  Predicting polymer/solvent diffusion coefficients using free-volume theory , 1992 .

[16]  A. Hamielec,et al.  Bulk polymerization of methyl methacrylate , 1973 .

[17]  David S. Soong,et al.  A computer model for the gel effect in free-radical polymerization , 1983 .

[18]  David S. Soong,et al.  Optimization of batch polymerization processes—narrowing the MWD. I. Model simulation , 1985 .

[19]  V. Schulz,et al.  Über den mechanismus des explosiven polymerisationsverlaufes des methacrylsäuremethylesters1 , 1947 .

[20]  S. K. Soh,et al.  Diffusion‐controlled vinyl polymerization. II. Limitations on the gel effect , 1982 .

[21]  D. Soong,et al.  Molecular weight distribution of products of free radical nonisothermal polymerization with gel effect. Simulation for polymerization of poly(methyl methacrylate) , 1985 .

[22]  J. S. Vrentas,et al.  Molecular diffusion in polymer solutions , 1979 .

[23]  K. O'driscoll,et al.  High‐conversion polymerization. I. Theory and application to methyl methacrylate , 1976 .

[24]  R. N. Haward,et al.  Occupied Volume of Liquids and Polymers , 1970 .

[25]  R. Smith,et al.  Catalysed Polymerization of Methyl Methacrylate in the Liquid Phase , 1942, Nature.

[26]  S. K. Soh,et al.  Diffusion-controlled vinyl polymerization. III. Free volume parameters and diffusion-controlled propagation , 1982 .