Mathematical model for the bulk polymerization of styrene using the symmetrical cyclic trifunctional initiator diethyl ketone triperoxide. I. Chemical initiation by sequential decomposition

2012 ◽  
Vol 128 (1) ◽  
pp. 776-786 ◽  
Author(s):  
E. Berkenwald ◽  
C. Spies ◽  
J. R. Cerna Cortez ◽  
G. Morales ◽  
D. Estenoz
Keyword(s):  
Mathematical Model ◽  
Bulk Polymerization ◽  
Diethyl Ketone ◽  
Sequential Decomposition

Mathematical model for the bulk polymerization of styrene chemically initiated by sequential and total decomposition of the trifunctional initiator diethyl ketone triperoxide

2014 ◽  
Vol 55 (1) ◽  
pp. 145-155 ◽  
Author(s):  
Emilio Berkenwald ◽  
Cecilia Spies ◽  
Graciela Morales ◽  
Diana Estenoz
Keyword(s):  
Mathematical Model ◽  
Bulk Polymerization ◽  
Diethyl Ketone

Bulk Polymerization of Styrene using Multifunctional Initiators in a Batch Reactor: A Comprehensive Mathematical Model

2016 ◽  
Vol 14 (1) ◽  
pp. 315-329 ◽  
Author(s):  
E. Berkenwald ◽  
M. L. Laganá ◽  
P. Acuña ◽  
G. Morales ◽  
D. Estenoz
Keyword(s):  
Mathematical Model ◽  
Molecular Weight ◽  
Batch Reactor ◽  
Kinetic Mechanism ◽  
Bulk Polymerization ◽  
Diethyl Ketone ◽  
Molecular Weight Distributions ◽  
Weight Distributions ◽  
Global Reaction ◽  
The Mathematical Model

AbstractA detailed, comprehensive mathematical model for bulk polymerization of styrene using multifunctional initiators – both linear and cyclic – in a batch reactor was developed. The model is based on a kinetic mechanism that considers thermal initiation and chemical initiation by sequential decomposition of labile groups, propagation, transfer to monomer, termination by combination and re-initiation reactions due to undecomposed labile groups. The model predicts the evolution of global reaction variables (e.g, concentration of reagents, products, radical species and labile groups) as well as the evolution of the detailed complete polymer molecular weight distributions, with polymer species characterized by chain length and number of undecomposed labile groups. The mathematical model was adjusted and validated using experimental data for various peroxide-type multifunctional initiators: diethyl ketone triperoxide (DEKTP, cyclic trifunctional), pinacolone diperoxide (PDP, cyclic bifunctional) and 1,1-bis(tert-butylperoxy)cyclohexane (L331, linear bifunctional). The model very adequately predicts polymerization rates and complete molecular weight distributions. The model is used to theoretically evaluate the influence of initiator structure and functionality as well as reaction conditions.

scholarly journals Kinetics and Mechanism of Bulk Polymerization of Vinyl Chloride in a Polymerization Reactor

2015 ◽  
Vol 12 (2) ◽  
pp. 41
Author(s):  
A. S. Ibrahim ◽  
Y. A. Ali ◽  
H. M. Saad ◽  
I. H. Amur
Keyword(s):  
Mathematical Model ◽  
Vinyl Chloride ◽  
Chemical Properties ◽  
Bulk Polymerization ◽  
Liquid Phases ◽  
Proposed Model ◽  
Three Phase ◽  
Plant Data ◽  
Solid Phases ◽  
Physical And Chemical

Polyvinyl chloride (PVC) is the third most commonly produced polymer and is important because of its mechanical characteristics. The most common method of PVC manufacturing is the process of suspension. Although, there are several benefits associated with suspension, this study will focus on the bulk polymerization of vinyl chloride; highlight the physical and chemical properties of PVC, which can be changed through an estimation of the optimum ratio that exists between the hydrophilic and hydrophobic parts of the polymer’s surface, and propose a new mathematical model which will be helpful for the conversion of PVC into a useful form. The result will be the proposal of a new dynamic mathematical model for the three-phase structure model. All particles have been taken into account in the proposed model, which helped contribute to the reaction in gel, solid, and liquid phases, emphasizing the use of mercury (Hg) as a catalyst. The proposed mathematical model considers the heat and mass transfer between the liquid, gel, and solid phases with chemical reactions that occur between the liquid and solid phases, and between the gel and solid phases. The effect of the catalyst and volumetric flow rates of vinyl chloride monomer (VCM) on the system have been evaluated through the proposed mathematical model. Furthermore, the study’s experimental data have been compared with the findings of the suggested model in the context of concentration and temperature reaction. Obtained results show good agreement between the proposed mathematical model and the actual plant data.  

Mathematical model of hit phenomena and its application to movie advertisement

2008 ◽  
Author(s):  
Ishii Akira ◽  
Yoshida Narihiko ◽  
Hayashi Takafumi ◽  
Umemura Sanae ◽  
Nakagawa Takeshi
Keyword(s):  
Mathematical Model

Dynamics of conflict: Mathematical model of the interactions between two actors

2008 ◽  
Author(s):  
Larry Liebovitch ◽  
Vincent Naudot
Keyword(s):  
Mathematical Model

A mathematical model for brightness and contour perception

1976 ◽  
Author(s):  
Jiro Hamada
Keyword(s):  
Mathematical Model ◽  
Contour Perception

T-cell vaccination: Insights and questions raised by a mathematical model

1997 ◽  
Vol 56 (1-3) ◽  
pp. 172
Author(s):  
J Borghans
Keyword(s):  
Mathematical Model ◽  
T Cell ◽  
T Cell Vaccination

A MATHEMATICAL MODEL FOR PARTICLE CLASSIFICATION

1988 ◽  
Vol 8 (2) ◽  
pp. 133-144 ◽  
Author(s):  
Chunxuan Jiang
Keyword(s):  
Mathematical Model ◽  
Particle Classification
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