Abstract
It is known from both experiments and molecular dynamics simulations that chemically patterning a solid surface has an effect on the flow of an adjacent liquid. This fact is in stark contrast with predictions of classical fluid mechanics where the no-slip boundary condition is insensitive to the chemistry of the solid substrate. It has been shown that the influence on the flow caused by a steep change in the wettability of the solid substrate can be described in the framework of continuum mechanics using the interface formation theory. The present work extends this study to the case of intermittent patterning. Results show that variations in wettability of the substrate can significantly affect the flow, especially of thin films, which may have applications to the design of microfluidic devices.
Similar content being viewed by others
References
P. Tabeling, Introduction to Microfluidics (Oxford University Press, Oxford, 2006)
E. Lauga, M.P. Brenner, H.A. Stone, Handbook of experimental fluid dynamics (Springer,New York, 2005)
P.A. Thompson, S.M. Troian, Nature 389, 360 (1997)
C. Cottin-Bizonne, B. Cross, A. Steinberger, E. Charlaix, Phys. Rev. Lett. 94, 056102 (2005)
C.L.M.H. Navier, Mém. de l’Acad. de Sciences l’Inst. de France 6, 389 (1823)
V.P. Sokhan, D. Nicholson, N. Quirke, J. Chem. Phys. 115, 3878 (2001)
J.E. Sprittles, Y.D. Shikhmurzaev, Phys. Rev. E 76, 021602 (2007)
Y.D. Shikhmurzaev, Capillary Flows with Forming Interfaces (Taylor & Francis, London, 2007)
Y.D. Shikhmurzaev, IMA J. Appl. Math. 70, 880 (2005)
Y.D. Shikhmurzaev, Physica D 217, 121 (2006)
T.D. Blake, Y.D. Shikhmurzaev, J. Coll. Int. Sci. 253, 196 (2002)
E. Lauga, H.A. Stone, J. Fluid Mech. 489, 55 (2003)
N.V. Priezjev, A.A. Darhuber, S.M. Troian, Phys. Rev. E 71, 041608 (2005)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Sprittles, J., Shikhmurzaev, Y. A continuum model for the flow of thin liquid films over intermittently chemically patterned surfaces. Eur. Phys. J. Spec. Top. 166, 159–163 (2009). https://doi.org/10.1140/epjst/e2009-00899-5
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjst/e2009-00899-5