63 rd annual dfd meeting of the american physical society long beach, california

23
Contact line dynamics of a liquid meniscus advancing into a microchannel with chemical heterogeneities C. Wylock 1 , M. Pradas 2 , B. Haut 1 , P. Colinet 1 and S. Kalliadasis 2 1 Université Libre de Bruxelles – Transfers, Interfaces and Processes 2 Imperial College London – Chemical Engineering Department 63 rd Annual DFD Meeting of the American Physical Society Long Beach, California November 21-23, 2010

Upload: tieve

Post on 24-Feb-2016

29 views

Category:

Documents


0 download

DESCRIPTION

- PowerPoint PPT Presentation

TRANSCRIPT

Page 1: 63 rd  Annual DFD Meeting of the American Physical Society Long Beach, California

Contact line dynamics of a liquid meniscus advancinginto a microchannel with chemical heterogeneitiesC. Wylock1, M. Pradas2, B. Haut1, P. Colinet1 and S. Kalliadasis2

1 Université Libre de Bruxelles – Transfers, Interfaces and Processes2 Imperial College London – Chemical Engineering Department

63rd Annual DFD Meetingof the American Physical SocietyLong Beach, CaliforniaNovember 21-23, 2010

Page 2: 63 rd  Annual DFD Meeting of the American Physical Society Long Beach, California

Motivation Contact line dynamics

• Rapidly growing fields of:─ Microfluidics─ Miniaturisation of chemical devices

• Small length scale solid surface properties become crucial

Page 2

Page 3: 63 rd  Annual DFD Meeting of the American Physical Society Long Beach, California

Goal Gas-liquid meniscus moving in a "Hele-Shaw cell like "

microchannel Surface chemically heterogeneous spatial

distribution of wetting properties 2 configurations

Effect of chemical heterogeneities on meniscus dynamics ?

2D configuration 3D configuration

Page 3

Page 4: 63 rd  Annual DFD Meeting of the American Physical Society Long Beach, California

Modelling Phase field approach

• f represents the 2 phases• Interface at f=0

Page 4

Page 5: 63 rd  Annual DFD Meeting of the American Physical Society Long Beach, California

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

Page 5

Page 6: 63 rd  Annual DFD Meeting of the American Physical Society Long Beach, California

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

Page 6

Page 7: 63 rd  Annual DFD Meeting of the American Physical Society Long Beach, California

Modelling Wetting boundary condition

Conserved dynamic equation

Page 7

Standard deviation s= disorder strength

with[1]

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

Page 8: 63 rd  Annual DFD Meeting of the American Physical Society Long Beach, California

Results and discussion 2D configuration

• Typical simulation result

Page 8

Page 9: 63 rd  Annual DFD Meeting of the American Physical Society Long Beach, California

Results and discussion 2D configuration

• Typical simulation result• Statistical analysis on several disorder realisations

Page 9

Page 10: 63 rd  Annual DFD Meeting of the American Physical Society Long Beach, California

Results and discussion 2D configuration

• Typical simulation result• Statistical analysis on several disorder realisations

Page 10

Page 11: 63 rd  Annual DFD Meeting of the American Physical Society Long Beach, California

Results and discussion 2D configuration

• Typical simulation result• Statistical analysis on several disorder realisations

Page 11

Page 12: 63 rd  Annual DFD Meeting of the American Physical Society Long Beach, California

Results and discussion 2D configuration

• Typical simulation result• Statistical analysis on several disorder realisations

Page 12

Page 13: 63 rd  Annual DFD Meeting of the American Physical Society Long Beach, California

Results and discussion 2D configuration

• Typical simulation result• Statistical analysis on several disorder realisations

Page 13

Chemical disorder contact angle hysteresis enhanced by disorder strength

Page 14: 63 rd  Annual DFD Meeting of the American Physical Society Long Beach, California

Results and discussion 3D configuration

• Contact line dynamics: preliminary analysis─ interface width follows fractal dynamics

( scale-invariant growth)

Page 14

Page 15: 63 rd  Annual DFD Meeting of the American Physical Society Long Beach, California

Results and discussion 3D configuration

• Contact line dynamics: preliminary analysis─ interface width follows fractal dynamics

( scale-invariant growth)─ pinning-depinning effects and associated avalanche dynamics

Page 15

Avalanche sitePinning site

Page 16: 63 rd  Annual DFD Meeting of the American Physical Society Long Beach, California

Results and discussion 3D configuration

• Contact line dynamics: preliminary analysis─ interface width follows fractal dynamics

( scale-invariant growth)─ pinning-depinning effects and associated avalanche dynamics

induced by the chemical disorder

Statistical analysis to perform for various disorder configurations

Page 16

Page 17: 63 rd  Annual DFD Meeting of the American Physical Society Long Beach, California

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

Page 17

Page 18: 63 rd  Annual DFD Meeting of the American Physical Society Long Beach, California

18

Page 19: 63 rd  Annual DFD Meeting of the American Physical Society Long Beach, California

Modelling Boundary conditions for 2D configuration

Page 19

Page 20: 63 rd  Annual DFD Meeting of the American Physical Society Long Beach, California

Modelling Boundary conditions for 3D configuration

Page 20

Page 21: 63 rd  Annual DFD Meeting of the American Physical Society Long Beach, California

Results and discussion 2D configuration

• Typical simulation result• Statistical analysis on several disorder realisations

Page 21

Chemical disorder contact angle hysteresis enhanced by disorder strength

Page 22: 63 rd  Annual DFD Meeting of the American Physical Society Long Beach, California

Results and discussion 3D configuration

• Typical simulation results

Page 22

Page 23: 63 rd  Annual DFD Meeting of the American Physical Society Long Beach, California

Results and discussion 3D configuration

• Typical simulation results• Contact line dynamic: preliminary analysis

─ interface width growth follows fractal dynamic

Page 23