Predicting multidimensional distributive properties of hyperbranched polymer resulting from AB2 polymerization with substitution, cyclization and shielding

I. Kryven; P. D. Iedema

doi:10.1016/j.polymer.2013.05.009

Predicting multidimensional distributive properties of hyperbranched polymer resulting from AB₂ polymerization with substitution, cyclization and shielding

I. Kryven^*, P. D. Iedema

^*Corresponding author for this work

Sub Mathematical Modeling

University of Amsterdam

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

A deterministic mathematical model for the polymerization of hyperbranched molecules accounting for substitution, cyclization, and shielding effect has been developed as a system of nonlinear population balances. The solution obtained by a novel approximation method shows perfect agreement with the analytical solution in limiting cases and provides, for the first time in this class of polymerization problems, full multidimensional results.

Original language	English
Pages (from-to)	3472-3484
Number of pages	13
Journal	Polymer
Volume	54
Issue number	14
DOIs	https://doi.org/10.1016/j.polymer.2013.05.009
Publication status	Published - 21 Jun 2013

Keywords

Chain length distribution
Convolution
Hyperbranched polymer

Access to Document

10.1016/j.polymer.2013.05.009

Cite this

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title = "Predicting multidimensional distributive properties of hyperbranched polymer resulting from AB2 polymerization with substitution, cyclization and shielding",

abstract = "A deterministic mathematical model for the polymerization of hyperbranched molecules accounting for substitution, cyclization, and shielding effect has been developed as a system of nonlinear population balances. The solution obtained by a novel approximation method shows perfect agreement with the analytical solution in limiting cases and provides, for the first time in this class of polymerization problems, full multidimensional results.",

keywords = "Chain length distribution, Convolution, Hyperbranched polymer",

author = "I. Kryven and Iedema, {P. D.}",

year = "2013",

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AU - Kryven, I.

AU - Iedema, P. D.

PY - 2013/6/21

Y1 - 2013/6/21

N2 - A deterministic mathematical model for the polymerization of hyperbranched molecules accounting for substitution, cyclization, and shielding effect has been developed as a system of nonlinear population balances. The solution obtained by a novel approximation method shows perfect agreement with the analytical solution in limiting cases and provides, for the first time in this class of polymerization problems, full multidimensional results.

AB - A deterministic mathematical model for the polymerization of hyperbranched molecules accounting for substitution, cyclization, and shielding effect has been developed as a system of nonlinear population balances. The solution obtained by a novel approximation method shows perfect agreement with the analytical solution in limiting cases and provides, for the first time in this class of polymerization problems, full multidimensional results.

KW - Chain length distribution

KW - Convolution

KW - Hyperbranched polymer

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DO - 10.1016/j.polymer.2013.05.009

M3 - Article

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