Lattice Boltzmann method for electrowetting modeling and simulation

Computer Methods in Applied Mechanics and Engineering

Volumn 198, Issue 47-48, 2009, Pages 3852-3868

  Aminfar, H ^a   Mohammadpourfard, M ^a  

^a UNIVERSITY OF TABRIZ   (Iran)

Author keywords

Electrowetting; Free energy; Lattice Boltzmann method; Microsize droplet; Poisson Boltzmann equation; Potential distribution

Indexed keywords

ELECTROWETTING; LATTICE BOLTZMANN METHOD; MICROSIZE DROPLET; POISSON-BOLTZMANN EQUATION; POTENTIAL DISTRIBUTION;

COMPUTER SIMULATION; CONTACT ANGLE; DROP FORMATION; FREE ENERGY; POISSON DISTRIBUTION; POISSON EQUATION; SURFACE PROPERTIES; SURFACE TENSION;

BOLTZMANN EQUATION;

EID: 70349435419     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2009.08.021     Document Type: Article

References (40)

1. Mugele F., and Baret J.C. Electrowetting: from basics to applications. J. Phys. Condens. Matter 17 (2005) R705-R774
2. Preuss M., and Butt H.J. Direct measurement of particle-bubble interactions in aqueous electrolyte: dependence on surfactant. Langmuir 14 (2004) 3164-3174
3. Kang K.H., Kang I.S., and Lee C.M. Wetting tension due to Coulombic interaction in charge-related wetting phenomena. Langmuir 19 (2003) 5407-5412
4. Quilliet C., and Berge B. Electrowetting: a recent outbreak. Curr. Opin. Colloid Interface Sci. 6 (2001) 34-39
5. Zeng J., and Korsmeyer T. Principles of droplet electrohydrodynamics for lab-on-a-chip. Lab. Chip. 4 (2004) 265-277
6. Srinivasan V., Pamula V.K., and Fair R.B. An integrated digital microfluidic lab-on-a-chip for clinical diagnostics on human physiological fluids. Lab. Chip. 4 (2004) 310-315
7. Cristini V., and Tan Y.C. Theory and numerical simulation of droplet dynamics in complex flows. Lab. Chip. 4 (2004) 257-264
8. Tan Y.C., Fisher J.C., Lee A.I., Cristini V., and Lee A.P. Design of microfluidic channel geometries for the control of droplet volume, chemical, concentration and sorting. Lab. Chip. 4 (2004) 292-298
9. Wixforth A., Strobl C., Gauer C., Toegl A., Scriba J., and von Guttenberg Z. Acoustic manipulation of small droplets. Annal. Bioanal. Chem. 379 (2004) 982-991
10. Velev O.D., Prevo B.G., and Bhatt K.H. On-chip manipulation of free droplets. Nature 426 (2003) 515-516
11. Gascoyne P.R.C., Vykoukal J.V., Schwartz J.A., Anderson T.J., Vykoukal D.M., Current K.W., Mc Conaghy C., Becker F.F., and Andrews C. Dielectrophoresis-based programmable fluidic processors. Lab. Chip. 4 (2004) 299-309
12. Langbein D.W. Capillary Surfaces: Shape-Stability-Dynamics. Particular under Weightlessness (2002), Springer, Berlin
13. Gau H., Herminghaus S., Lenz P., and Lipowsky R. Liquid morphologies on structured surfaces: from microchannels to microchips. Science 283 (1999) 46-49
14. S.W. Walker, Modeling, Simulating, and Controlling the Fluid Dynamics of Electro-wetting on Dielectric, PhD Thesis, University of Maryland, College Park, USA, 2007.
15. Lienemann J., Greiner A., and Korvink J.G. Modeling, simulation, and optimization. IEEE Trans. Comput. Aid. Des. Integr. Circ. Syst. 25 (2006) 234-247
16. Bahadur V., and Garimella S.V. An energy-based model for electrowetting-induced droplet actuation. J. Micromech. Microengrg. 16 (2006) 1494-1503
17. Decamps C., and Coninck J.D. Dynamics of spontaneous spreading under electrowetting conditions. Langmuir 16 (2000) 10150-10153
18. Lu H.W., Glasnner K., Bertozzi A.L., and Kim C.J. A diffuse interface model for electrowetting droplets in a Hele-Shaw cell. J. Fluid Mech. 590 (2007) 411-435
19. Walker S., and Shapiro B. Modeling the fluid dynamics of electrowetting on dielectric (EWOD). J. Microelectromech. Syst. 15 (2006) 986-1000
20. Chen S., and Doolen G.D. Lattice Boltzmann method for fluid flows. Annu. Rev. Fluid Mech. 30 (1998) 329-364
21. Aminfar H., and Mohammadpourfard M. Lattice Boltzmann BGK model for gas flow in a microchannel. Proc. IMechE C: J. Mech. Engrg. Sci. 222 (2008) 1855-1860
22. Li H., and Fang H. Lattice Boltzmann simulation of electrowetting. Eur. Phys. J. Special Top. 171 (2009) 129-133
23. Swift M.R., Osborn W.R., and Yeomans J.M. Lattice Boltzmann simulation of nonideal fluids. Phys. Rev. Lett. 75 (1995) 830-833
24. Swift M.R., Orlandini E., Osborn W.R., and Yeomans J.M. Lattice Boltzmann simulations of liquid-gas and binary fluid systems. Phys. Rev. E 54 (1996) 5041-5052
25. Holdych D.J., Rovas D., Georgiadis J.-G., and Buckius R.O. An improved hydrodynamics formulation for multiphase flow lattice-Boltzmann models. Int. J. Mod. Phys. C 9 (1998) 1393-1404
26. Dupuis A., and Yeomans J.M. Lattice Boltzmann modelling of droplets on chemically heterogeneous surfaces. Fut. Gen. Comput. Sys. 20 (2004) 993-1001
27. Chang Q., and Alexander J.I.D. Analysis of single droplet dynamics on striped surface domains using a lattice Boltzmann method. Microfluid. Nanofluid. 2 (2006) 309-326
28. Dupuis A., and Yeomans J.M. Modelling droplets on superhydrophobic surfaces: equilibrium states and transitions. Langmuir 21 (2005) 2624-2629
29. Shu H.C., and Chew Y.T. Numerical investigation of transporting droplets by spatiotemporally controlling substrate wettability. J. Colloid Interface Sci. 328 (2008) 124-133
30. Bhatnagar P.L., Gross E.P., and Krook M. A model for collision processes in gases I small amplitude processes in charged and neutral one-component system. Phys. Rev. 94 (1954) 511-525
31. Briant A.J., Wagner A.J., and Yeomans J.M. Lattice Boltzmann simulations of contact line motion. I. Liquid-gas systems. Phys. Rev. E 69 (2004) 031602-031615
32. Overbeek J.Th.G. The role of energy and entropy in the electrical double layer. Colloids Surf. 51 (1990) 61-75
33. Landau L.D., and Lifshitz E.M. Statistical Physics (1958), Pergamon Press, London
34. Cherkaev A., and Cherkaev E. Calculus of Variations and Applications. Lecture Notes (2003), University of Utah Salt Lake City, UT
35. Cahn J.W. Critical point wetting. J. Chem. Phys. 66 (1977) 3667-3672
36. Zhang J., and Kwok D.Y. On the validity of the Cassie equation via a mean-field free-energy lattice Boltzmann approach. J. Colloid Interface Sci. 282 (2005) 434-438
37. Hoffman J.D. Numerical Method for Engineers and Scientists (2001), Marcel Dekker Inc., USA
38. Wolf-Gladrow D.A. Lattice Gas Cellular Automata and Lattice Boltzmann Models: An Introduction (2005), Springer-Verlag, Heidelberg
39. Kang K.H., Kang I.S., and Lee C.M. Geometry dependence of wetting tension on, charge-modified surfaces. Langmuir 19 (2003) 6881-6887
40. Verwey E.J.W., and Overbeek J.Th.G. Theory of the Stability of Lyophobic Colloids (1948), Elsevier Publishing Company Inc.