Skip to main content
  • 214 Accesses

Abstract

When two fluids meet at a solid surface a three phase contact line is formed. The motion of contact lines is of crucial importance in many different natural phenomena and industrial processes, for example multiphase flow in porous media, multiphase flow metering and industrial coating processes. Most work on moving contact lines has concentrated on steady motion at low Reynolds number (Cox, 1986). In this paper, we consider the unsteady motion of a contact line at high Reynolds number. We shall consider only inviscid fluids, although it is clear that one of the next steps is to consider the effect of viscosity.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Bedeaux, D., Albano, A.M. and Mazur, P. (1976) Boundary conditions and nonequilibrium thermodynamics, Physica A 82, 438–462.

    Article  MathSciNet  Google Scholar 

  • Billingham, J. and King, A.C. (1995) The interaction of a moving fluid/fluid interface with a flat plate, J. Fluid Mech. 296, 325–351.

    Article  MATH  Google Scholar 

  • Cox, R.G. (1986) The dynamics of the spreading of liquids on a solid surface, J. Fluid Mech. 168, 169–194.

    Article  MATH  Google Scholar 

  • Dussan V., Davis, E.B. and Davis, S.H. (1974) On the motion of a fluid-fluid interface along a solid surface, J. Fluid Mech. 65, 71–95.

    Article  MATH  Google Scholar 

  • Dussan V., Davis, E.B. (1976) The moving contact line: the slip boundary condition, J. Fluid Mech. 77, 665–684.

    Article  MATH  Google Scholar 

  • Keller, J.B. and Miksis, M.K. (1983) Surface tension driven flows, SIAM J. Appl. Maths 43, 268–277.

    Article  MathSciNet  MATH  Google Scholar 

  • Koplik, J., Banavar, J.R. and Willemsen, J.F. (1988) Molecular dynamics of Poiseuille flow and moving contact lines, Phys. Rev. Lett. 60, 781–794.

    Article  Google Scholar 

  • Shikhmurzaev, Y.D. (1993a) A two-layer model of an interface between immiscible fluids, Physica A 192, 47–62.

    Article  Google Scholar 

  • Shikhmurzaev, Y.D. (1993b) The moving contact line on a smooth solid surface, Int. J. Multiphase Flow 4, 589–610.

    Article  Google Scholar 

  • Shikhmurzaev, Y.D. (1997a) Moving contact lines in liquid/liquid/solid systems, J. Fluid Mech. 334, 211–249.

    Article  MathSciNet  MATH  Google Scholar 

  • Shikhmurzaev, Y.D. (1997b) Free-surface cusps and moving contact lines. A common approach to the problems, this volume.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer Science+Business Media Dordrecht

About this paper

Cite this paper

Billingham, J. (1999). The Unsteady Motion of Three Phase Contact Lines. In: Durban, D., Pearson, J.R.A. (eds) IUTAM Symposium on Non-linear Singularities in Deformation and Flow. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4736-1_10

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-4736-1_10

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5991-6

  • Online ISBN: 978-94-011-4736-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics