The wetting problem of fluids on solid surfaces. Part 1: the dynamics of contact lines

Gouin, Henri
November 2003
Continuum Mechanics & Thermodynamics;Nov2003, Vol. 15 Issue 6, p581
Academic Journal
The understanding of the spreading of liquids on solid surfaces is an important challenge for contemporary physics. Today, the motion of the contact line formed at the intersection of two immiscible fluids and a solid is still subject to dispute. In this paper, a new picture of the dynamics of wetting is offered through an example of non-Newtonian slow liquid movements. The kinematics of liquids at the contact line and equations of motion are revisited. Adherence conditions are required except at the contact line. Consequently, for each fluid, the velocity field is multivalued at the contact line and generates an equivalent concept of line friction but stresses and viscous dissipation remain bounded. A Young-Dupr� equation for the apparent dynamic contact angle between the interface and solid surface depending on the movements of the fluid near the contact line is proposed.


Related Articles

  • When is it energetically favorable for a rivulet of perfectly wetting fluid to split? Wilson, S. K.; Duffy, B. R. // Physics of Fluids;Jul2005, Vol. 17 Issue 7, p078104 

    We determine when it is energetically favorable for a thin rivulet of perfectly wetting fluid (i.e., a thin rivulet with zero contact angle) on the underside of a planar substrate to split into two or more subrivulets.

  • The influence of surface tension gradients on drop coalescence. Blanchette, François; Messio, Laura; Bush, John W. M. // Physics of Fluids;Jul2009, Vol. 21 Issue 7, p072107 

    We present the results of a combined experimental and numerical investigation of the coalescence of a drop with a liquid reservoir of a miscible but distinct fluid. Particular attention is given to elucidating the influence on the coalescence process of a surface tension difference between drop...

  • An Induction Balance for Investigation of the Surface Properties of Water. Yudin, S. G.; Yakovlev, S. V.; Palto, S. P. // Instruments & Experimental Techniques;Jan/Feb2004, Vol. 47 Issue 1, p124 

    A precision induction balance is described. The balance can be used to study the isotherms of compression and expansion of organic monolayers and physicochemical processes on the water surface, such as organic liquid spreading, adsorption of substances, film evaporation, etc. The balance...

  • Simulated surface tensions of common water models. Feng Chen; Smith, Paul E. // Journal of Chemical Physics;6/14/2007, Vol. 126 Issue 22, p221101 

    Initial simulated values of the surface tension for the SPC/E water model have indicated excellent agreement with experiment. More recently, differing values have been obtained which are significantly lower than previous estimates. Here, we attempt to explain the differences between the previous...

  • Dewetting processes in a cylindrical geometry. Callegari, G.; Calvo, A.; Hulin, J. P. // European Physical Journal E -- Soft Matter;Mar2005, Vol. 16 Issue 3, p283 

    Dewetting of liquid films of water-glycerol solutions of different viscosities has been studied experimentally in PVC cylindrical tubes. In contrast with plane surfaces, the dewetting capillary number Cavd increases with the film thickness h0 over a large part of the experimental range and...

  • Molecular dynamics of transient oil flows in nanopores I: Imbibition speeds for single wall carbon nanotubes. Supple, S.; Quirke, N. // Journal of Chemical Physics;11/1/2004, Vol. 121 Issue 17, p8571 

    The way fluids flow into and fill nanotubes is of wide interest; however, there are currently no experimental data or validated theoretical models for this nanoscale process. We have carried out molecular dynamics simulations of carbon nanotubes imbibing oil at an oil/vapor interface at 300 K....

  • The independent scale of critical clusters as a basis for the calculation of surface tension of elementary substances. Cherevko, A. G. // High Temperature;Dec2009, Vol. 47 Issue 6, p920 

    The article offers information on the estimation of surface tension of elementary substances. It is said that an important part is played by surface tension in the kinetics of first order phase transitions. However, a complex problem is presented in measuring the high temperature surface...

  • Eötvös' law (1886) Physics.  // Dictionary of Theories;2002, p178 

    A definition of the term "Eötvös' law" is presented. The law relates the specific free surface energy of a liquid-vapour interface to properties of the liquid. The law is expressed in terms of an equation where "S" is the specific surface free energy (surface tension) and "p" is the...

  • On finite element modelling of surface tension Variational formulation and applications � Part I: Quasistatic problems. Saksono, P. H.; Peric, D. // Computational Mechanics;Sep2006, Vol. 38 Issue 3, p265 

    This paper describes variational formulation and finite element discretization of surface tension. The finite element formulation is cast in the Lagrangian framework, which describes explicitly the interface evolution. In this context surface tension formulation emerges naturally through the...


Read the Article


Sign out of this library

Other Topics