Potential of lattice Boltzmann to model droplets on chemically stripe-patterned substrates

Applied Surface Science

Volumn 361, Issue , 2016, Pages 122-132

  Patrick Jansen, H ^a   Sotthewes, K ^a   Zandvliet, Harold J W ^a   Kooij, E Stefan ^a  

^a UNIVERSITY OF TWENTE   (Netherlands)

Author keywords

Directional wetting; Lattice Boltzmann modelling; Mumerical methods; Non spherical droplets; Surface Evolver

Indexed keywords

DROP FORMATION; HYDROPHOBICITY; WETTING;

COMPLEX KINETICS; HYDROPHOBIC AND HYDROPHILIC; LATTICE BOLTZMANN; MUMERICAL METHODS; NON-SPHERICAL; PATTERNED SUBSTRATES; PATTERNED SURFACE; SURFACE EVOLVER;

ASPECT RATIO;

EID: 84952360207     PISSN: 01694332     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apsusc.2015.11.120     Document Type: Article

References (43)

1. O. Bliznyuk, E. Vereshchagina, E.S. Kooij, and B. Poelsema Scaling of anisotropic droplet shapes on chemically stripe-patterned surfaces Phys. Rev. E 79 2009 041601 10.1103/PhysRevE.79.041601
2. O. Bliznyuk, H.P. Jansen, E.S. Kooij, and B. Poelsema Initial spreading kinetics of high-viscosity droplets on anisotropic surfaces Langmuir 26 9 2010 6328 6334 10.1021/la903205e
3. H.P. Jansen, K. Sotthewes, J. van Swigchem, H.J.W. Zandvliet, and E.S. Kooij Lattice Boltzmann modeling of directional wetting: comparing simulations to experiments Phys. Rev. E 88 2013 013008 10.1103/PhysRevE.88.013008
4. B.B.J. Stapelbroek, H.P. Jansen, E.S. Kooij, J.H. Snoeijer, and A. Eddi Universal spreading of water drops on complex surfaces Soft Matter 10 2014 2641 2648 10.1039/C3SM52464G
5. H.P. Jansen, K. Sotthewes, C. Ganser, C. Teichert, H.J.W. Zandvliet, and E.S. Kooij Tuning kinetics to control droplet shapes on chemically striped patterned surfaces Langmuir 28 37 2012 13137 13142 10.1021/la302551m
6. H. Kusumaatmaja, J. Léopoldès, A. Dupuis, and J.M. Yeomans Drop dynamics on chemically patterned surfaces Europhys. Lett. 73 5 2006 740
7. H. Kusumaatmaja, A. Dupuis, and J.M. Yeomans Lattice Boltzmann simulations of drop dynamics Math. Comput. Simul. 72 2-6 2006 160 164 10.1016/j.matcom.2006.05.016
8. H. Kusumaatmaja, and J.M. Yeomans Controlling drop size and polydispersity using chemically patterned surfaces Langmuir 23 2 2007 956 959 10.1021/la062082w
9. H. Kusumaatmaja, R.J. Vrancken, C.W.M. Bastiaansen, and J.M. Yeomans Anisotropic drop morphologies on corrugated surfaces Langmuir 24 14 2008 7299 7308 10.1021/la800649a
10. R. David, and A.W. Neumann Anisotropic drop shapes on chemically striped surfaces Colloids Surf. A 32-36 2012 393
11. R. David, and A.W. Neumann Shapes of drops in the Cassie state on grooved surfaces Colloids Surf. A 399 2012 41 45
12. H. Gau, S. Herminghaus, P. Lenz, and R. Lipowsky Liquid morphologies on structured surfaces: from microchannels to microchips Science 283 5398 1999 46 49 10.1126/science.283.5398.46
13. A.A. Darhuber, S.M. Troian, S.M. Miller, and S. Wagner Morphology of liquid microstructures on chemically patterned surfaces J. Appl. Phys. 87 11 2000 7768 7775 10.1063/1.373452
14. M. Brinkmann, and R. Lipowsky Wetting morphologies on substrates with striped surface domains J. Appl. Phys. 92 8 2002 4296 4306 10.1063/1.1506003
15. R. Lipowsky, M. Brinkmann, R. Dimova, T. Franke, J. Kierfeld, and X. Zhang Droplets, bubbles, and vesicles at chemically structured surfaces J. Phys.: Condens. Matter 17 9 2005 S537
16. R. Lipowsky, M. Brinkmann, R. Dimova, C. Haluska, J. Kierfeld, and J. Shillcock Wetting, budding, and fusion-morphological transitions of soft surfaces J. Phys.: Condens. Matter 17 31 2005 S2885
17. F. Mugele, A. Klingner, J. Buehrle, D. Steinhauser, and S. Herminghaus Electrowetting: a convenient way to switchable wettability patterns J. Phys.: Condens. Matter 17 9 2005 S559
18. K. Khare, S. Herminghaus, J.-C. Baret, B.M. Law, M. Brinkmann, and R. Seemann Switching liquid morphologies on linear grooves Langmuir 23 26 2007 12997 13006 10.1021/la701899u
19. R. Seemann, M. Brinkmann, E.J. Kramer, F.F. Lange, and R. Lipowsky Wetting morphologies at microstructured surfaces Proc. Natl. Acad. Sci. U. S. A. 102 6 2005 1848 1852 10.1073/pnas.0407721102
20. F.J.M. Ruiz-Cabello, H. Kusumaatmaja, M.A. Rodríguez-Valverde, J.M. Yeomans, and M.A. Cabrerizo-Vílchez Modeling the corrugation of the three-phase contact line perpendicular to a chemically striped substrate Langmuir 25 14 2009 8357 8361
21. H. Kusumaatmaja, and R. Lipowsky Equilibrium morphologies and effective spring constants of capillary bridges Langmuir 26 24 2010 18734 18741 10.1021/la102206d
22. D. Ferraro, C. Semprebon, T. Tóth, E. Locatelli, M. Pierno, G. Mistura, and M. Brinkmann Morphological transitions of droplets wetting rectangular domains Langmuir 28 39 2012 13919 13923 10.1021/la302854t
23. H. Matsui, Y. Noda, and T. Hasegawa Hybrid energy-minimization simulation of equilibrium droplet shapes on hydrophilic/hydrophobic patterned surfaces Langmuir 28 2012 15450 15453
24. A. Promraksa, and L.J. Chen Modeling contact angle hysteresis of a liquid droplet sitting on a cosine wave-like pattern surface J. Colloid Interface Sci. 384 2012 172 181
25. N.T. Chamakos, M.E. Kavousanakis, and A.G. Papathanasiou Enabling efficient energy barrier computations of wetting transitions on geometrically patterned surfaces Soft Matter 9 2013 9624 9632
26. R. Zheng, H. Liu, J. Sun, and Y. Ba Droplet hysteresis investigation on non-wetting striped textured surfaces: a lattice Boltzmann study Phys. A 411 2014 53 62
27. H.S. Grewal, I.J. Cho, J.E. Oh, and E.S. Yo Effect of topography on the wetting of nanoscale patterns: experimental and modeling studies Nanoscale 6 2014 15321 15332
28. G. Pashos, A. Kokkoris, and A.G. Boudouvis A modified phase-field method for the investigation of wetting transitions of droplets on patterned surfaces J. Comput. Phys. 283 2015 4258 4270
29. H.P. Jansen, K. Sotthewes, C. Ganser, H. Zandvliet, C. Teichert, and E.S. Kooij Shape of picoliter droplets on chemically striped patterned substrates Langmuir 30 2014 11574 11581
30. X. Shan, and H. Chen Lattice Boltzmann model for simulating flows with multiple phases and components Phys. Rev. E 47 1993 1815 1819 10.1103/PhysRevE.47.1815
31. H. Huang, D.T. Thorne, M.G. Schaap, and M.C. Sukop Proposed approximation for contact angles in Shan-and-Chen-type multicomponent multiphase lattice Boltzmann models Phys. Rev. E 76 2007 066701 10.1103/PhysRevE.76.066701
32. M.C. Sukop, and D.T. Thorne Jr. Lattice Boltzmann Modeling an Introduction for Geoscientists and Engineers 2006 Springer-Verlag Berlin, Heidelberg
33. R. Cornubert, D. d'Humires, and D. Levermore A Knudsen layer theory for lattice gases Phys. D 47 1991 241 259
34. D.P. Ziegler Boundary conditions for lattice Boltzmann simulations J. Stat. Phys. 71 1993 1171 1177
35. K.A. Brakke Surface Evolver manual version 2. 30 2008
36. H.P. Jansen, O. Bliznyuk, E.S. Kooij, B. Poelsema, and H.J.W. Zandvliet Simulating anisotropic droplet shapes on chemically striped patterned surfaces Langmuir 28 1 2012 499 505 10.1021/la2039625
37. C. Clanet, C. Béguin, D. Richard, and D. Quéré Maximal deformation of an impacting drop J. Fluid Mech. 517 2004 199 208 10.1017/S0022112004000904
38. D.M. Anderson, G.B. McFadden, and A.A. Wheeler Diffuse-interface methods in fluid mechanics Annu. Rev. Fluid. Mech. 30 1998 139 165
39. D. Iwahara, H. Shinto, M. Miyahara, and K. Higashitani Liquid drops on homogeneous and chemically heterogeneous surfaces: a two-dimensional lattice Boltzmann study Langmuir 19 21 2003 9086 9093 10.1021/la034456g
40. J. Léopoldès, and D.G. Bucknall Droplet spreading on microstriped surfaces J. Phys. Chem. B 109 18 2005 8973 8977 10.1021/jp0508094
41. C. Semprebon, G. Mistura, E. Orlandini, G. Bissacco, A. Segato, and J.M. Yeomans Anisotropy of water droplets on single rectangular posts Langmuir 25 10 2009 5619 5625 10.1021/la8041742
42. H.P. Jansen, H. Zandvliet, and E.S. Kooij Evaporation of elongated droplets on chemically stripe-patterned surfaces Int. J. Heat Mass Transf. 82 2015 537 544
43. R. Lipowsky Morphological wetting transitions at chemically structured surfaces Curr. Opin. Colloid Interface Sci. 6 1 2001 40 48 10.1016/S1359-0294(00)00086-8