Abstract
The influences of the Navier slip condition on the stability and dynamics of surfactant-covered ultrathin films are investigated by linear theory and numerical simulation based on lubrication approximation. The competition of the slippage, intermolecular potential and the Marangoni effect and their role on the flow are discussed in the present paper.
Similar content being viewed by others
References
Barrat J. and Bocquet L. Large slip effect at a nonwetting fluid-solid interface. Phys. Review Lett. 1999, 82: 4671–4674.
Reiter G., Demirel A. L. and Granick S. From static to kinetic in confined liquid films[J]. Science, 1994, 263: 174.
Priezjev N. J. and Troian S. M. Molecular origin and dynamic behavior of slip in sheared polymer films[J]. Phys. Review Lett. 2004, 92: 018302.
Sharma A. Instability and dynamics of thin slipping films[J]. Applied Phys. Lett. 2003, 83: 3549.
Sharma A. and Khanna R. Nonlinear stability of micro-scopic polymer films with slippage[J]. Macromolecules, 1996, 29: 6959.
Kargupta K., Sharma A. and Khanna R. Instability, dynamics, and morphology of the thin slipping films[J]. Langmuir, 2004, 20: 244.
Afsar-Siddiqui A. B., Luckham P. F. and Matar O. K. The spreading of surfactant solutions on thin liquid films[J]. Advances in Colloid and Interface Science, 2003, 106: 183.
Stone H. A. A simple derivation of the time-dependent convective-diffusion equation for sirfactant transport along a deforming interface[J]. Physics of Fluids, 1990, A2: 111.
Souza E. R. and Gallez D. Pattern formation in thin liquid films with insoluble surfactants[J]. Physics of Fluids, 1998, 10: 1804.
Jensen O. E. and Grotberg J. B. Insoluble surfactant spreading on a thin viscous film — shock evolution and film rupture[J]. J. Fluid Mech. 1992, 240: 259.
Warner M. R. E. and Craster R. V. Dewetting of ultrathin surfactant-covered films[J]. Physics of Fluids, 2002, 14: 4040–4054.
Sharma A. Relationship of thin film stability and morphology to macroscopic parameters of wetting in the apolar and polar systems[J]. Langmuir, 1993, 9: 861.
Zhang Y. L., Craster R. V. and Matar O. K. Surfactant driven flows overlying a hydrophobic epithelium: film rupture in the presence of slip[J]. J. Colloid and Interface Science, 2003, 264: 160.
Hu G. H. Linear stability of ultrathin slipping films with insoluble surfactant[J]. Physics of Fluids, 2005, 17: 088105.
Author information
Authors and Affiliations
Additional information
This work was supported by the Natural Science Foundation of China (Grant No. 10472062) and Shanghai Leading Academic Discipline Project (No. Y0103).
Rights and permissions
About this article
Cite this article
Hu, G. Stability and dynamics of surfactant-covered liquid ultrathin films with slippage. J Hydrodyn 18 (Suppl 1), 355–358 (2006). https://doi.org/10.1007/BF03400472
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF03400472