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SUMMARY:Serafim Kalliadasis: Recent progress on the moving contact line pro
 blem
DESCRIPTION:   Abstract\nThe moving contact line  problem is a long-stand
 ing and fundamental challenge in the field of  fluid dynamics\, occurring 
 when one fluid replaces another as it moves  along a solid surface. Moving
  contact lines occur in a vast range of  applications\, where an apparent 
 paradox of motion of a fluid-fluid interface\, yet static fluid velocity  
 at the solid satisfying the no-slip boundary condition arises. In this  ta
 lk we will review recent progress on the problem made by our group.\n The 
 motion of a contact line is examined\, and comparisons drawn\, for a  vari
 ety of proposed models in the literature. We first scrutinise a  number of
  models in the classic test-bed system of spreading of a thin  two-dimensi
 onal droplet on a planar substrate\, showing that slip\, precursor film an
 d interface formation models  effectively reduce to the same spreading beh
 aviour. This latter model\,  developed by Shikhmurzaev a few years ago\, i
 s a complex and somewhat  controversial one\, differentiating itself by ac
 counting for a variation in surface layer quantities and having finite-tim
 e  surface tension relaxation. Extensions to consider substrate  heterogen
 eities in this prototype system for slip models are also  considered\, suc
 h as for surface roughness and fluctuations in wetting properties through 
 chemical variability.\n Analysis of a solid-liquid-gas diffuse-interface m
 odel is then  presented\, with no-slip at the solid and where the fluid ph
 ase is  specified by a continuous density field. We first obtain a wetting
   boundary condition on the solid that allows us to consider the motion wi
 thout any additional physics\, i.e. without density gradients at  the wall
  away from the contact line associated with precursor films.  Careful exam
 ination of the asymptotic behaviour as the contact line is  approached is 
 then shown to resolve the singularities associated with the moving contact
  line problem. Various features of the  model are scrutinised alongside ex
 tensions to incorporate slip\,  finite-time relaxation of the chemical pot
 ential\, or a precursor film at  the wall. But these are not necessary to 
 resolve the moving contact line problem. 
URL:https://www.imperial.ac.uk/events/109018/serafim-kalliadasis-recent-pro
 gress-on-the-moving-contact-line-problem/
DTSTART;TZID=Europe/London:20130308T160000
DTEND;TZID=Europe/London:20130308T170000
LOCATION:United Kingdom
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