Skip to main content Accessibility help
×
Home

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

  • Qiujin Peng (a1), Hui Zhang (a2) and Zhengru Zhang (a2)

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.

Copyright

Corresponding author

*Email addresses: qiujin.peng@connect.polyu.hk (Q. J. Peng), hzhang@bnu.edu.cn (H. Zhang), zrzhang@bnu.edu.cn (Z. R. Zhang)

References

Hide All
[1]Atkin, R.J. and Craine, R.E., Continuum theories of mixtures, basic theory and historical development, Q. J. Mech. Appl. Math., 29(1976), 209244.
[2]Araki, T. and Tanaka, H., Three-dimensional numerical simulations of viscoelastic phase separation: Morphological characteristics, Macromolecules, 34(2001), 19531963.
[3]Cai, S. and Suo, Z.G., Mechanics and chemical thermodynamics of phase transition in temperature-sensitive hydrogels, J. Mech. Phys. Solids, 59(2011), 22592278.
[4]Cheng, L. and Wang, M., A kind of thermo-sensitive intelligent hydrogel(Chinese), Chinese Modern Education Equipment, 24 (2012), 6465.
[5]Doi, M., Gel dynamics, J., Phys. Soc. Japan, 78(2009), 052001.
[6]Flory, P.J., Principles of Polymer Chemistry, Cornell Univ Press, 1953.
[7]Fredenslund, A., Gmehling, J., Michelsen, M.L., Rasmussen, P. and Prausnitz, J.M.. Computerized design of multicomponent distillation columns using the UNIFAC group contribution method for calculation of activity coefficients, Ind. Eng. Chem. Process Des. Dev., 16(1977), 450462.
[8]Forest, M.G., Liao, Q.Q. and Wang, Q., A 2-D kinetic theory for flows of monodomain polymer-rod nanocomposites, Commun. Comput. Phys., 7(2010), 250282.
[9]Gawin, D., Majorana, C.E and Schrefler, B.A, Numerical analysis of hygro-thermal behaviour and damage of concrete at high temperature, Mech. Cohes. Frict. Mat., 1999,4(1999), 3774.
[10]Hassanizadeh, M. and Gray, W.G., General conservation equations for multiphase systems: 2.Mass, momenta, energy, and entropy equations, Adv. Water Resour, 2(1979), 191203.
[11]Hassanizadeh, M. and Gray, W.G., General conservation equations for multi-phase systems:3.Constitutive theory for porous media flow, Adv. Water Resour., 3(1980), 2540.
[12]He, M.J., Zhang, H.D., Chen, W.X. and Dong, X.X., Polymer Physics(Chinese), Fudan University Press, 1983.
[13]Huyghe, J. and Janssen, J.D., Thermo-chemo-electro-mechanical formulation of saturated charged porous solids, Trans. Porous Media, 34(1999), 129141.
[14]Kim, J., Phase-field models for multi-component fluid flows, Commun. Comput. Phys., 12(2012),613661.
[15]Li, H., Smart Hydrogel Modeling, Springer-Verlag, 2009.
[16]Lustig, S.R., Caruthers, J.M. and Peppas, N.A., Continuum thermodynamics and transport theory for polymer fluid mixtures, Chemical Engineering Science, 47(1992), 30373057.
[17]Onuki, A., Long-range interactions through elastic fields in phase-separating solids, J. Phys. Soc. Japan, 58(1989), 30693072.
[18]Shen, J., Yang, X.F. and Wang, Q., Mass and volume conservation in phase field models for binary fluids, Commun. Comput. Phys., 13(2013), 10451065.
[19]Tanaka, T., Fillmore, D., Sun, S.T., Nishio, I., Swislow, G. and Shah, A., Phase transitions in ionic gels, Phys. Rev. Lett., 45(1980), 16361639.
[20]Wang, L., and Han, S.H., The molecular structure, properties and activity(Chinese), Environmental Chemistry, 46(1997), 272.
[21]Wang, , Li, Y. and Hu, Z., Swelling kinetics of polymer gels, Macromolecules, 30(1997), 47274732.
[22]Wang, X. and Li, Y.Q., Kinetics analysis of volume phase transition of intelligent neutral thermo-sensitive hydrogels, Phys. Mech. Astr., 51(2008), 532540.
[23]Xu, W., Gao, C. and Liu, L., Thermo-sensitive hydrogels, J. Modern food Medicine, 17(2007),6062.
[24]Yamaue, T., Mukai, H., Asaka, K. and Doi, M., Electrostress diffusion coupling model for poly-electrolyte gels, Macromolecules, 38(2005), 13491356.
[25]Yao, X.M. and Zhang, H., Kinetic Model for the Large Deformation of Cylindrical Gels, J. Theoret. Computat. Chem., 13(2014), 1450032.
[26]Yuan, C.H. and Zhang, H., Self-consistent mean field model of hydrogel and its numerical simulation, J. Theoret. Comput. Chem., 12 (2013), 1350048.
[27]Zhai, D. and Zhang, H., Investigation on the application of TDGL equation in macromolecular microsphere composite Hydrogel, Soft Matter, 9(2013), 820825.
[28]Zhang, L., Zhang, J.Y and Du, Q., Finding critical nuclei in phase transformations by shrinking dimer dynamics and its variants, Commun. Comput. Phys., 16(2014), 781798.
[29]Zhang, S.P., Liu, C. and Zhang, H., Numerical simulations of hydrodynamics of nematic liquidcrystals: effects of kinematic transports, Commun. Comput. Phys., 9(2011), 974993.

Keywords

Related content

Powered by UNSILO

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

  • Qiujin Peng (a1), Hui Zhang (a2) and Zhengru Zhang (a2)

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed.