Open AccessAbout building a basis surface in inverse kinetic problems for non-break processes of diene polymerization
Author(s) -
Э. Р. Гиззатова,
А. С. Исмагилова,
S. L. Podvalny
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1902/1/012109
Subject(s) - polymerization , diene , nonlinear system , basis (linear algebra) , work (physics) , parametric statistics , inverse , kinetic energy , mathematics , constant (computer programming) , thermodynamics , materials science , chemistry , mathematical analysis , physics , polymer , computer science , classical mechanics , organic chemistry , geometry , quantum mechanics , natural rubber , statistics , programming language
The work contains a mathematical description of diene polymerization with a neodym-based Ziegler-Natta catalysts. The resulting system of differential equations was reduced from infinite to finite by the method of moments. For this, the basis of nonlinear parametric functions was searched with a method allowing obtain expressions that reflect the kinetics of the polymerization process. The obtained basis of two functions enables us to construct a surface containing local regions of the minimum of the objective function which define the starting points for search of optimum kinetic constant values.