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Steady-State Motion of a Liquid/Liquid/Solid Contact Line JEAN-FRANCOIS JOANNY* AND DAVID ANDELMAN~"'1
 

Summary: Steady-State Motion of a Liquid/Liquid/Solid Contact Line
JEAN-FRANCOIS JOANNY* AND DAVID ANDELMAN~"'1
*Ddpartementde Physique des Matdriaux, UniversitFC. Bernard--Lyon L 69622 VilleurbanneCedex, France;
tCorporate Research Science Laboratories, Exxon Research and Engineering Company, Annandale, New Jersey
08801;and tPhysique de la MatiOreCondensFe,Coll~gede France, 75231ParisCedex 05, France
ReceivedAugust 12, 1986;acceptedNovember 19, 1986
The steady-statemotion ofa liquidA/liquid Binterfaceon a flatsolidsurfaceis investigated.Hydro-
dynamic equationsfor the floware obtained and in principlecould yielda solutionfor the profileof a
generalcurvedA/B interface.For smallcontact anglesthis problemis quite similarto the dynamicsof
a liquid/vapor/solidcontact line.Weconsiderboth a "dry" solidsurfaceand onethat hasbeenprewetted
by an invadingliquid. InterestingSaffman-Taylor-likeinstabilitiescould appear closeto the tip of the
advancingcontact line for appropriate viscosityratios. 1987AcademicPress,Inc.
I. INTRODUCTION
The dynamics of motion of the three-phase
contact line has received much attention over
the last few years (1, 2), mainly due to the
apparent incompatibility between the ad-
vancing motion of the liquid and the no-slip
boundary condition at the solid surface.
One of the ideas proposed to resolve this

  

Source: Andelman, David - School of Physics and Astronomy, Tel Aviv University

 

Collections: Materials Science; Physics