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The Phase Transition Model for Heat-Shrinkable Thermo-Sensitive Hydrogels Based on Interaction Energy

Published online by Cambridge University Press:  22 January 2015

Qiujin Peng ,
Hui Zhang  and
Zhengru Zhang
Qiujin Peng
Affiliation:
Department of Mathematics, The Hong Kong Polytechnic University, Hong Kong
Hui Zhang*
Affiliation:
Laboratory of Mathematics and Complex Systems, Ministry of Education, School of Mathematical Sciences, Beijing Normal University, Beijing 100875, P.R. China
Zhengru Zhang
Affiliation:
Laboratory of Mathematics and Complex Systems, Ministry of Education, School of Mathematical Sciences, Beijing Normal University, Beijing 100875, P.R. China
*
*Email addresses: qiujin.peng@connect.polyu.hk (Q. J. Peng), hzhang@bnu.edu.cn (H. Zhang), zrzhang@bnu.edu.cn (Z. R. Zhang)
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Abstract

A biphase mixture continuum mechanics model is derived for neutral heat-shrinkable thermo-sensitive hydrogels in this paper. The mixing free energy of the special mixture is recalculated based on the partition function of Bose system, and it evaluates the contribution of the hydrophilic, hydrophobic interaction and hydrogen bonding to the volume phase transition behaviors. The ideas of the Flory lattice theory and the UNIFAC group contribution method are employed to get the expression of the mixing free energy. Then we deduce a particular model by combining this mixing free energy with the conservation laws equations and constitutive relations of both phases to predict the volume transition behaviors of these special hydrogels.

Keywords

76A0576T9935Q9292E10Heat-shrinkable thermo-sensitive hydrogelsvolume phase transitionfree energyFlory lattice theorygroup contribution methodconservation law equations
Type
Research Article
Information
Communications in Computational Physics , Volume 17 , Issue 2 , February 2015 , pp. 594 - 614
Copyright
Copyright © Global Science Press Limited 2015 

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