Abstract
Surprisingly enough, the properties of thin polymer films can be covered by hydrodynamic equations originally devised for classical liquids, provided that surface slip is properly taken into account. This was the key insight of Chap. 4. However, this is of course not entirely correct—put simply, it depends on the chain length of the polymer. If the polymer properties are brought into play, the thin films display viscoelastic behaviour. Chapter 5 introduces the concepts needed to cover this case and explains how the thin film equations are modified in this case. Finally, the chapter addresses microscopic properties of thin films like the slip length and glassy behaviour.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
Note that the Jeffreys model is used in several parametrizations in the literature. Upon multiplying Eq. (5.20) with the elastic modulus G we can find the form \(G\widehat{\tau} + \eta_{1} \dot{\rule{0pt}{7.pt}\widehat{\tau}} = G\eta_{1} \dot{\rule{0pt}{7.pt}\widehat{\gamma}} + \eta_{0}\eta_{1}\ddot{\widehat{\gamma}} \) which is used by Vilmin and Raphaël (2006).
- 2.
We omit the \(\widehat{\hphantom{a}}\)-symbol in the following to simplify notation.
- 3.
One notes a difference of a factor of 1/2 between this equation and equation (5.9). This is convention-dependent. We use the convention used in Rauscher et al. (2005). In comparing both cases, it suffices to assume that the additional factor has been absorbed in the definition of the viscosity η, see Eq. (5.25) below.
References
Blossey, R., Münch, A., Rauscher, M., Wagner, B.: Slip vs. viscoelasticity in dewetting thin films. Eur. Phys. J. E 20, 267–272 (2006)
Blossey, R.: Thin film rupture and polymer flow. Phys. Chem. Chem. Phys. 10, 5177–5183 (2008)
Böhme, G.: Strömungsmechanik nichtnewtonscher Fluide. Teubner Verlag, Stuttgart (2000)
Brochard, F., de Gennes, P.-G.: Shear-dependent slippage at a polymer/solid interface. Langmuir 8, 3033–3037 (1992)
Byron Bird, R., Armstrong, R.C., Hassager, O.: Dynamics of Polymeric Liquids, Vol. 1: Fluid Mechanics, 2nd edn. Wiley, New York (1987a)
Byron Bird, R., Curtiss, C.F., Armstrong, R.C., Hassager, O.: Dynamics of Polymeric Liquids, Vol. 2: Kinetic Theory, 2nd edn. Wiley, New York (1987b)
Damman, P., Gabriele, S., Coppée, S., Descprez, S., Villers, D., Vilmin, T., Raphaël, E., Hamieh, M., Al Akhrass, S., Reiter, G.: Relaxation of residual stress and reentanglement of polymers in spin-coated films. Phys. Rev. Lett. 99, 036101 (2007)
de Gennes, P.G.: Glass transition in thin polymer films. Eur. Phys. J. E 2, 201–205 (2000)
Fakhraai, Z., Forrest, J.A.: Measuring the surface dynamics of glassy polymers. Science 319, 600–604 (2008)
Gabriele, S., Damman, P., Sclavons, S., Desprez, S., Coppée, S., Reiter, G., Hamieh, M., Al Akhrass, S., Vilmin, T., Raphäel, E.: Viscoelastic dewetting of constrained polymer thin films. J. Polym. Sci. 44, 3022–3030 (2006a)
Gabriele, S., Sclavons, S., Reiter, G., Damman, P.: Disentanglement time of polymers determines the onset of rim instabilities in dewetting. Phys. Rev. Lett. 96, 156105 (2006b)
Gutfreund, P., Bäumchen, O., van der Grinten, D., Fetzer, R., Maccarini, M., Jacobs, K., Zabel, H., Wolff, M.: Surface correlation affects liquid order and slip in a Newtonian liquid (2011). arXiv:1104.0868
Hamieh, M., Al Akhrass, S., Hamieh, T., Damman, P., Gabriele, S., Vilmin, T., Raphaël, E., Reiter, G.: Influence of substrate properties on the dewetting dynamics of viscoelastic polymer films. J. Adhes. 83, 367–381 (2007)
Herminghaus, S.: Polymer thin films and surfaces: possible effects of capillary waves. Eur. Phys. J. E 8, 237–243 (2002)
Herminghaus, S., Jacobs, K., Seemann, R.: Viscoelastic dynamics of polymer thin films. Eur. Phys. J. E 12, 101–110 (2003)
Kargupta, K., Sharma, A., Khanna, R.: Instability, dynamics and morphology of slipping thin films. Langmuir 20, 244–253 (2004)
Khayat, R.E.: Transient two-dimensional coating flow of a viscoelastic fluid film on a substrate of arbitrary shape. J. Non-Newton. Fluid Mech. 95, 199–233 (2001)
Léger, L., Hervet, H., Bureau, L.: Friction mechanisms at polymer-solid interfaces. C. R., Chim. 9, 80–89 (2006)
Migler, K.B., Hervet, H., Leger, L.: Slip transition of a polymer melt under shear stress. Phys. Rev. Lett. 70, 287–290 (1993)
Münch, A., Wagner, B., Rauscher, M., Blossey, R.: A thin-film model for corotational Jeffreys fluids under strong slip. Eur. Phys. J. E 20, 365–368 (2006)
Rauscher, M., Münch, A., Wagner, B., Blossey, R.: A thin-film equation for viscoelastic liquids of Jeffreys type. Eur. Phys. J. E 17, 373–379 (2005)
Reiter, G.: Dewetting of highly elastic thin polymer films. Phys. Rev. Lett. 87, 186101 (2001)
Reiter, G., Hamieh, M., Damman, P., Sclavons, S., Gabriele, S., Vilmin, T., Raphaël, E.: Residual stresses in thin polymer films cause rupture and dominate early stages of dewetting. Nat. Mater. 4, 754–758 (2005)
Reiter, G., Al Akhrass, S., Hamieh, M., Damman, P., Gabriele, S., Vilmin, T., Raphaël, E.: Dewetting as an investigative tool for studying properties of thin polymer films. Eur. Phys. J. Spec. Top. 166, 165–172 (2009)
Roth, C.B., Dutcher, J.R.: Glass transition and chain mobility in thin polymer films. J. Electroanal. Chem. 584, 13–22 (2005)
Vilmin, T., Raphaël, E.: Dewetting of thin viscoelastic polymer films on slippery substrates. Europhys. Lett. 72, 781–787 (2005)
Vilmin, T., Raphaël, E.: Dewetting of thin polymer films. Eur. Phys. J. E 21, 161–174 (2006)
Vilmin, T., Raphaël, E., Damman, P., Sclavons, S., Gabriele, S., Hamieh, M., Reiter, G.: The role of nonlinear friction in the dewetting of thin polymer films. Europhys. Lett. 73, 906–912 (2006)
Yang, Z., Fujii, Y., Lee, F.K., Lam, C.-H., Tsui, O.K.C.: Glass transition dynamics and surface layer mobility in unentangled polystyrene films. Science 328, 1676–1679 (2010)
Zhang, Y.L., Matar, O.K., Craster, R.V.: Surfactant spreading on a thin weakly viscoelastic film. J. Non-Newton. Fluid Mech. 105, 53–78 (2002)
Ziebert, F., Raphaël, E.: Dewetting of thin polymer films: influence of interface evolution. Europhys. Lett. 86, 46001 (2009a)
Ziebert, F., Raphaël, E.: Dewetting dynamics of stressed viscoelastic thin polymer films. Phys. Rev. E 79, 031605 (2009b)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2012 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Blossey, R. (2012). Viscoelastic Thin Films. In: Thin Liquid Films. Theoretical and Mathematical Physics. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-4455-4_5
Download citation
DOI: https://doi.org/10.1007/978-94-007-4455-4_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-4454-7
Online ISBN: 978-94-007-4455-4
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)