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Wetting failure and contact line dynamics in a Couette flow

Published online by Cambridge University Press:  16 October 2008

M. SBRAGAGLIA ,
K. SUGIYAMA  and
L. BIFERALE
M. SBRAGAGLIA
Affiliation:
Department of Physics and INFN, University of Tor Vergata, Via della Ricerca Scientifica 1, 00133 Rome, Italy
K. SUGIYAMA
Affiliation:
Department of Mechanical Engineering, The University of Tokyo, 7-3-1 Hongo Bunkyo-Ku, Tokyo 113-8656, Japan
L. BIFERALE
Affiliation:
Department of Physics and INFN, University of Tor Vergata, Via della Ricerca Scientifica 1, 00133 Rome, Italy
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Abstract

Liquid–liquid wetting failure is investigated in a two-dimensional Couette system with two immiscible fluids of arbitrary viscosity. The problem is solved exactly using a sharp interface treatment of hydrodynamics (lubrication theory) as a function of the control parameters – capillary number, viscosity ratio and separation of scale – i.e. the slip length versus the macroscopic size of the system. The transition at a critical capillary number, from a stationary to a non-stationary interface, is studied while changing the control parameters. Comparisons with similar existing analyses for other geometries, such as the Landau–Levich problem, are also carried out. A numerical method of analysis is also presented, based on diffuse interface models obtained from multiphase extensions of the lattice Boltzmann equation. Sharp interface and diffuse interface models are quantitatively compared, indicating the correct limit of applicability of the diffuse interface models.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 614 , 10 November 2008 , pp. 471 - 493
Copyright
Copyright © Cambridge University Press 2008

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References

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