63 rd annual dfd meeting of the american physical society long beach california november 21 23 2010
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63 rd annual dfd meeting of the american physical society long beach california november 21 23 2010

Contact line dynamics of a liquid meniscus advancinginto a microchannel with chemical heterogeneitiesC. Wylock1, M. Pradas2, B. Haut1, P. Colinet1 and S. Kalliadasis21Université Libre de Bruxelles – Transfers, Interfaces and Processes2Imperial College London – Chemical Engineering Department

63rd Annual DFD Meeting

of the American Physical Society

Long Beach, California

November 21-23, 2010

motivation
Motivation
  • Contact line dynamics
    • Rapidly growing fields of:
      • Microfluidics
      • Miniaturisation of chemical devices
    • Small lengthscale

 solid surface propertiesbecome crucial

slide3
Goal
  • Gas-liquidmeniscusmoving in a "Hele-Shaw celllike " microchannel
  • Surface chemicallyheterogeneous spatial distribution of wettingproperties
  • 2 configurations
  • Effect of chemicalheterogeneities on meniscusdynamics ?

2D configuration

3D configuration

modelling
Modelling
  • Phase field approach
    • f represents the 2 phases
    • Interface at f=0
modelling1
Modelling
  • Phase field approach
    • f represents the 2 phases
    • Interface at f=0
  • Equilibrium given by Ginzburg-Landau model

Free energy formulation

Double-well potential

Chemical potential

modelling2
Modelling
  • Phase field approach
    • f represents the 2 phases
    • Interface at f=0
  • Equilibrium given by Ginzburg-Landau model

Free energy formulation

Double-well potential

Chemical potential

modelling3
Modelling
  • Wetting boundary condition
  • Conserved dynamic equation

Standard deviation s

= disorder strength

[1]

with

[1]Cahn, J. Chem. Phys. 66 (1977), 3667

results and discussion
Results and discussion
  • 2D configuration
    • Typical simulation result
results and discussion1
Results and discussion
  • 2D configuration
    • Typical simulation result
    • Statisticalanalysis on severaldisorderrealisations
results and discussion2
Results and discussion
  • 2D configuration
    • Typical simulation result
    • Statistical analysis on several disorder realisations
results and discussion3
Results and discussion
  • 2D configuration
    • Typical simulation result
    • Statistical analysis on several disorder realisations
results and discussion4
Results and discussion
  • 2D configuration
    • Typical simulation result
    • Statistical analysis on several disorder realisations
results and discussion5
Results and discussion
  • 2D configuration
    • Typical simulation result
    • Statistical analysis on several disorder realisations

Chemical disorder  contact angle hysteresis enhanced by disorder strength

results and discussion6
Results and discussion
  • 3D configuration
    • Contact line dynamics: preliminaryanalysis
      • interface widthfollows fractal dynamics

( scale-invariant growth)

results and discussion7
Results and discussion
  • 3D configuration
    • Contact line dynamics: preliminaryanalysis
      • interface widthfollows fractal dynamics

( scale-invariant growth)

      • pinning-depinningeffects and associated avalanche dynamics

Pinning site

Avalanche site

results and discussion8
Results and discussion
  • 3D configuration
    • Contact line dynamics: preliminaryanalysis
      • interface widthfollows fractal dynamics

( scale-invariant growth)

      • pinning-depinningeffects and associated avalanche dynamics

induced by the chemicaldisorder

 Statisticalanalysis to perform for variousdisorder configurations

conclusion and future plans
Conclusion and future plans
  • Phase field  contact line dynamics in chemically heterogeneous microchannel
  • Chemical disorder induces
    • 2D: hysteresis of contact angle

 hysteresis “jump” function of disorder strength

    • 3D: kinetic roughening process of contact line motion, pinning-depinning effects
  • Future plans
    • Statistical analysis for 3D configuration:
      • Characterization of the scaling growth factors
      • Avalanche dynamics
modelling4
Modelling
  • Boundary conditions for 2D configuration
modelling5
Modelling
  • Boundary conditions for 3D configuration
results and discussion9
Results and discussion
  • 2D configuration
    • Typical simulation result
    • Statistical analysis on several disorder realisations

Chemical disorder  contact angle hysteresis enhanced by disorder strength

results and discussion10
Results and discussion
  • 3D configuration
    • Typical simulation results
results and discussion11
Results and discussion
  • 3D configuration
    • Typical simulation results
    • Contact line dynamic: preliminary analysis
      • interface width growth follows fractal dynamic
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