Skip to main content
Log in

A continuum model for the flow of thin liquid films over intermittently chemically patterned surfaces

  • Regular Article
  • Published:
The European Physical Journal Special Topics Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

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)

    Google Scholar 

  • C. Cottin-Bizonne, B. Cross, A. Steinberger, E. Charlaix, Phys. Rev. Lett. 94, 056102 (2005)

    Google Scholar 

  • C.L.M.H. Navier, Mém. de l’Acad. de Sciences l’Inst. de France 6, 389 (1823)

    Google Scholar 

  • V.P. Sokhan, D. Nicholson, N. Quirke, J. Chem. Phys. 115, 3878 (2001)

    Google Scholar 

  • 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)

    Google Scholar 

  • Y.D. Shikhmurzaev, Physica D 217, 121 (2006)

    Google Scholar 

  • T.D. Blake, Y.D. Shikhmurzaev, J. Coll. Int. Sci. 253, 196 (2002)

    Google Scholar 

  • E. Lauga, H.A. Stone, J. Fluid Mech. 489, 55 (2003)

    Google Scholar 

  • N.V. Priezjev, A.A. Darhuber, S.M. Troian, Phys. Rev. E 71, 041608 (2005)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to J. E. Sprittles.

Rights and permissions

Reprints 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

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjst/e2009-00899-5

Keywords

Navigation