WIAS Preprint No. 1743, (2012)

Impact of interfacial slip on the stability of liquid two-layer polymer films


  • Jachalski, Sebastian
  • Peschka, Dirk
    ORCID: 0000-0002-3047-1140
  • Münch, Andreas
  • Wagner, Barbara


  • fluid dynamics, thin-film models, two-phase flow, interfacial slip


In this study systems of coupled thin-film models for two immiscible liquid polymer layers on a solid substrate that account for interfacial slip and intermolecular forces are derived. On the scale of tens to hundred nanometers such two-layer systems are susceptable to instability and may rupture and dewet. The stability of the two-layer system and its significant dependence on the order of magnitude of slip is investigated via these thin-film models. With no-slip at both, the liquid-liquid and liquid-solid interface and polymer layers of comparable thickness, the dispersion relation typically shows two local maxima, one in the long-wave regime and the other at moderate wavenumbers. The former is associated with perturbations that mainly affect the gas-liquid interface and the latter with higher relative perturbation amplitudes at the liquid-liquid interface. Slip at the liquid-liquid interface generally favors the former perturbations. However, when the liquid-liquid and the liquidsolid interface exhibit large slip, the maxima shift to small wavenumbers for increasing slip and hence may significantly change the spinodal patterns.

Appeared in

  • J. Engrg. Math., 86, (2014) pp. 9--29.

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