Abstract
Diffusion behavior of water molecules in poly(vinyl alcohol) (PVA) was investigated by molecular dynamics (MD) simulation, and the diffusion coefficient of water molecules in PVA was calculated based on the Einstein’s relation. The effects of polymerization degree, temperature, density, and pressure on the diffusion coefficient were conducted to gain insights into their diffusion mechanisms under different processing conditions. The results showed that the simulation data of diffusion coefficient was consistent with experimental values. With the increase of polymerization degree of PVA, the diffusion coefficient began with a sharp decrease and then became stable, while the diffusion coefficient increased with increasing temperature. It was also found that PVA matrix with a smaller cell density had a larger free volume, and then, the diffusion coefficient was larger. The H2O sorption isotherm could be described by the Langmuir sorption isotherm, and the diffusion coefficient decreased with the increase of pressure.
Similar content being viewed by others
References
Singh R (2014) Process capability analysis of fused deposition modelling for plastic components. Rapid Prototyping J 20(1):69–76
Roberson D, Shemelya CM, MacDonald E, Wicker R (2015) Expanding the applicability of FDM-type technologies through materials development. Rapid Prototyping J 21(2):137–143
Ahn S-H, Montero M, Odell D, Roundy S, Wright PK (2002) Anisotropic material properties of fused deposition modeling ABS. Rapid Prototyping J 8(4):248–257
Hansen CM (2004) Aspects of solubility, surfaces and diffusion in polymers. Prog Org Coat 51(1):55–66
Fried JR (2006) Gas diffusion and solubility in poly(organophosphazenes): results of molecular simulation studies. J Inorg Organomet Polym Mater 16(4):407–418
Fried JR, Ren P (2000) The atomistic simulation of the gas permeability of poly(organophosphazenes). Part 1. Poly(dibutoxyphosphazenes). Comput Theor Polym Sci 10(5):447–463
Mozaffari F, Eslami H, Moghadasi J (2010) Molecular dynamics simulation of diffusion and permeation of gases in polystyrene. Polymer 51(1):300–307
Boshoff JHD, Lobo RF, Wagner NJ (2001) Influence of polymer motion, topology and simulation size on penetrant diffusion in amorphous, glassy polymers: diffusion of helium in polypropylene. Macromolecules 34(17):6107–6116
Tao CG, Feng HJ, Zhou J, Lu LH, Lu XH (2009) Molecular simulation of oxygen adsorption and diffusion in polypropylene. Acta Phys-Chim Sin 25(7):1373–1378
Cuthbert TR, Wagner NJ, Paulaitis ME, Murgia G, D’Aguanno B (1999) Molecular dynamics simulation of penetrant diffusion in amorphous polypropylene: diffusion mechanisms and simulation size effects. Macromolecules 32(15):5017–5028
Faure F, Rousseau B, Lachet V, Ungerer P (2007) Molecular simulation of the solubility and diffusion of carbon dioxide and hydrogen sulfide in polyethylene melts. Fluid Phase Equilib 261(1–2):168–175
Kucukpinar E, Doruker P (2003) Molecular simulations of small gas diffusion and solubility in copolymers of styrene. Polymer 44(12):3607–3620
van der Vegt NFA (2000) Temperature dependence of gas transport in polymer melts: molecular dynamics simulations of CO2 in polyethylene. Macromolecules 33(8):3153–3160
Liu J, Cao DP, Zhang LQ (2008) Molecular dynamics study on nanoparticle diffusion in polymer melts: a test of the Stokes-Einstein law. J Phys Chem C 112(17):6653–6661
Tsolou G, Mavrantzas VG, Theodorou DN (2005) Detailed atomistic molecular dynamics simulation of cis-1,4-poly(butadiene). Macromolecules 38(4):1478–1492
Pavel D, Shanks R (2003) Molecular dynamics simulation of diffusion of O-2 and CO2 in amorphous poly(ethylene terephthalate) and related aromatic polyesters. Polymer 44(21):6713–6724
Charati SG, Stern SA (1998) Diffusion of gases in silicone polymers: molecular dynamics simulations. Macromolecules 31(16):5529–5535
Striolo A, McCabe C, Cummings PT (2005) Thermodynamic and transport properties of polyhedral oligomeric sislesquioxanes in poly(dimethylsiloxane). J Phys Chem B 109(30):14300–14307
Sudibjo A, Spearot DE (2011) Molecular dynamics simulation of diffusion of small atmospheric penetratesin polydimethylsiloxane. Mol Simul 37(2):115–122
Spearot DE, Sudibjo A, Ullal V, Huang A (2012) Molecular dynamics simulations of diffusion of O-2 and N-2 penetrants in polydimethylsiloxane-based nanocomposites. Journal Of Engineering Materials And Technology-Transactions Of the Asme 134(2):8
Muller-Plathe F (1998) Diffusion of water in swollen poly(vinyl alcohol) membranes studied by molecular dynamics simulation. J Membr Sci 141(2):147–154
Muller-Plathe F (1998) Molecular simulation: understanding polymer gels at the molecular level. Ber Bunsenges Phys Chem 102(11):1679–1682
Chiessi E, Cavalieri F, Paradossi G (2005) Supercooled water in PVA matrixes. II A molecular dynamics simulation study and comparison with QENS results J Phys Chem B 109(16):8091–8096
Tamai Y, Tanaka H (1999) Effects of polymer chains on structure and dynamics of supercooled water in poly(vinyl alcohol). Phys Rev E 59(5):5647–5654
Wu CF (2010) Cooperative behavior of poly(vinyl alcohol) and water as revealed by molecular dynamics simulations. Polymer 51(19):4452–4460
Karlsson GE, Johansson TS, Gedde UW, Hedenqvist MS (2002) Physical properties of dense amorphous poly(vinyl alcohol) as revealed by molecular dynamics simulation. Journal Of Macromolecular Science-Physics B 41(2):185–206
Rigby D, Sun H, Eichinger B (1997) Computer simulations of poly (ethylene oxide): force field, pvt diagram and cyclization behaviour. Polym Int 44(3):311–330
Theodorou DN, Suter UW (1985) Detailed molecular structure of a vinyl polymer glass. Macromolecules 18(7):1467–1478
Zeng CY, Li JD, Wang D, Chen TQ, Zhao CW, Chen CX (2006) Infinite dilute activity and diffusion coefficients in polymers by inverse gas chromatography. J Chem Eng Data 51(1):93–98
Shafee EE, Naguib HF (2003) Water sorption in cross-linked poly(vinyl alcohol) networks. Polymer 44(5):1647–1653
Zhang QG, Liu QL, Jiang ZY, Chen Y (2007) Anti-trade-off in dehydration of ethanol by novel PVA/APTEOS hybrid membranes. J Membrane Sci 287(2):237–245
Connolly ML (1985) Computation of molecular volume. J Am Chem Soc 107(5):1118–1124
Kärger J, Binder T, Chmelik C, Hibbe F, Krautscheid H, Krishna R, Weitkamp J (2014) Microimaging of transient guest profiles to monitor mass transfer in nanoporous materials. Nat Mater 13(4):333–343
Krishna R (2009) Describing the diffusion of guest molecules inside porous structures. J Phys Chem C 113(46):19756–19781
Krishna R, van Baten JM (2013) Influence of adsorption thermodynamics on guest diffusivities in nanoporous crystalline materials. Phys Chem Chem Phys 15(21):7994–8016
Acknowledgements
The authors would like to acknowledge the financial support of the National Natural Science Foundation of China (No. 51403118 and No. 51475271).
Author information
Authors and Affiliations
Corresponding authors
Ethics declarations
Conflict of interest
The authors declare that they have no conflict of interest.
Rights and permissions
About this article
Cite this article
Ni, F., Wang, G. & Zhao, H. Molecular and condition parameters dependent diffusion coefficient of water in poly(vinyl alcohol): a molecular dynamics simulation study. Colloid Polym Sci 295, 859–868 (2017). https://doi.org/10.1007/s00396-017-4077-x
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00396-017-4077-x