Simulation of different modes of behavior monomer conversion in radical polymerization processes diene
M. S. Yanbekov1, E. R. Gizzatova2, S. I. Spivak3
| Annotation | In the article kinetic features of the polymerization process are described by the methods and means of mathematical modeling. Two approaches to modeling of polymerization processes, static and kinetic, are discussed. As a result of mathematical models’ analysisit is possible to trace the course of the process qualitatively, to identify the sensitivity of the individual reagents to changing of process conditions. Functional relationships that characterize the number of parameters of the process are obtained, too. Mathematical model for the radical polymerization of dienes is presented in the form of a system of ordinary differential equations. Due to the termination rate constants’ distribution in time, the system is stiff.So to solve it we use the approach allowing to obtain the intervals of solution stability, the conversion dependence at different moments and to determine the kinetics of diene’s radical polymerization mechanism. |
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| Keywords | radical polymerization, kinetics, monomer conversion, interpolation, inverse kinetic problem |
1Postgraduate student of Mathematical ModellingDepartment, Bashkir State University, Ufa; miratyanbekov@mail.ru
2DSc, associate professor of Mathematical Modelling Department in Sterlitamak branch of Bashkir State University, Sterlitamak; makella@rambler.ru
3DSc, professor, head of Mathematical ModellingDepartment, Bashkir State University, Ufa; semen.spivak@mail.ru
Citation: M. S. Yanbekov, E. R. Gizzatova, S. I. Spivak, "[Simulation of different modes of behavior monomer conversion in radical polymerization processes diene]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,18:4 (2016) 159–167 (In Russian)
