Lattice boltzmann simulation of microstructures

Handbook of Food and Bioprocess Modeling Techniques

Volumn , Issue , 2006, Pages 15-39

  van der Sman, R G M ^a  

^a WAGENINGEN UNIVERSITY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER MODELING; LATTICE BOLTZMANN METHOD; LATTICE BOLTZMANN SIMULATIONS; MESOSCOPIC SCALE;

COMPUTATIONAL FLUID DYNAMICS;

EID: 84989215274     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Chapter

References (49)

1. Benzi, R., Succi, S., and Vergassola, M., The lattice Boltzmann equation: Theory and applications, Phys. Rep., 222(3), 145-197, 1992.
2. Chen, S. and Doolen, G.D., Lattice Boltzmann method for fluid flows, Ann. Rev. Fluid Mech., 30, 329-364, 1998.
3. Kromkamp, J., Bastiaanse, A., Swarts, J., Brans, G., van der Sman, R.G.M., and Boom, R.M., A suspension flow model for hydrodynamics and concentration polarisation in crossflow microfiltration, J. Membr. Sci., 253(1-2), 67-79, 2005.
4. Brans, G., Kromkamp, J., Schroën, C.G.P.H., van der Sman, R.G.M., and Boom, R.M., Filtration with microsieves: Influence of surface properties and sieve design, J. Membr. Sci., in press.
5. van der Graaf, S., Nisisako, T., Schroën, C.G.P.H., van der Sman, R.G.M., and Boom, R.M., Lattice Boltzmann simulations of droplet formation in a T-shaped microchannel, Langmuir, 22(9), 4144-4152, 2006.
6. Qian, Y.H., d’Humieres, D., and Lallemand, P., Lattice BGK models for Navier-Stokes equation, Europhys. Lett., 17(6), 479-484, 1992.
7. van der Sman, R.G.M. and Ernst, M.H., Convection diffusion lattice Boltzmann scheme for irregular lattices, J. Comput. Phys., 160, 1-17, 2000.
8. van der Sman, R.G.M., Lattice Boltzmann scheme for natural convection on square and rectangular grids, Phys. Rev. E, 74, 026705, 2006.
9. McNamara, G. and Alder, B., Analysis of the lattice Boltzmann treatment of hydrodynamics, Physica A, 194, 218-228, 1993.
10. van der Sman, R.G.M. and Ernst, M.H., Diffusion lattice Boltzmann scheme on an orthorhombic lattice, J. Stat. Phys., 94(1/2), 203-216, 1999.
11. Junk, M., A finite difference interpretation of the lattice Boltzmann method, Numer. Meth. Part. Diffl. Equat., 17(4), 383-402, 2001.
12. van der Sman, R.G.M., Finite Boltzmann schemes, Comput. Fluids, 35, 59-64, 2006.
13. van der Sman, R.G.M., Diffusion on unstructured triangular grids using lattice Boltzmann, Future Generation Comp. Sys., 20(6), 965-971, 2004.
14. Inamuro, T., Yoshino, M., and Ogino, F., Non-slip boundary condition for lattice Boltzmann simulations, Phys. Fluids, 7(12), 2928-2930, 1995.
15. Zou, Q.S. and He, X.Y., On pressure and velocity boundary conditions for the lattice Boltzmann BGK model, Phys. Fluids, 9(6), 1591-1598, 1997.
16. Ladd, A.J.C. and Verberg, R., Lattice-Boltzmann simulations of particle-fluid suspensions, J. Stat. Phys., 104(5-6), 1191-1251, 2001.
17. Hill, R.J., Koch, D.L., and Ladd, A.J.C., Moderate-Reynolds-number flows in ordered and random arrays of spheres, J. Fluid Mech., 448, 243-278, 2001.
18. Mezzenga, R., Schurtenberger, P., Burbidge, A., and Michel, M., Understanding foods as soft materials, Nat. Mater., 4, 729-740, 2005.
19. Fredrickson, G.H., Ganesan, V., and Drolet, F., Field-theoretic computer simulation methods for polymers and complex fluids, Macromolecules, 35(1), 16-39, 2002.
20. Fraaije, J.G.E.M., Zvelindovsky, A.V., and Sevink, G.J.A., Computational soft nanotechnology with Mesodyn, Mol. Simul., 30(4), 225-238, 2004.
21. Brady, J.F. and Bossis, G., Stokesian dynamics, Ann. Rev. Fluid Mech., 20, 111-157, 1988.
22. Malevanets, A. and Kapral, R., Mesoscopic model for solvent dynamics, J. Chem. Phys., 110(17), 8605-8613, 1999.
23. Gunstensen, A.K., Rothman, D.H., Zaleski, S., and Zanetti, G., Lattice Boltzmann model of immiscible fluids, Phys. Rev. A, 43(8), 4320-4327, 1991.
24. Brackbill, J.U., Kothe, D.B., and Zemach, C., A continuum method for modelling surface tension, J. Comput. Phys., 100(2), 335-354, 1992.
25. Jacqmin, D., Calculation of two-phase Navier-Stokes flows using phase-field modeling, J. Comput. Phys., 155(1), 96-127, 1999.
26. Anderson, D.M., McFadden, G.B., and Wheeler, A.A., Diffusive-interface methods in fluid mechanics, Ann. Rev. Fluid Mech., 30, 165-193, 1998.
27. Cahn, J.W. and Hilliard, J.E., Free energy of a non-uniform system I. Interfacial energy, J. Chem. Phys., 28, 258-267, 1958.
28. Swift, M.R., Orlandini, E., Osborne, W.R., and Yeomans, J.M., Lattice Boltzmann simulations of liquid-gas and binary fluid mixtures, Phys. Rev. E, 54, 5041-5052, 1996.
29. Wagner, A.J. and Yeomans, J.M., Effect of shear on droplets in a binary mixture, Int. J. Mod. Phys. C, 8(4), 773-782, 1997.
30. Lamura, A., Gonella, G., and Yeomans, J.M., A lattice Boltzmann model of ternary fluid mixtures, Europhys. Lett., 45(3), 314-320, 1999.
31. Diamant, H., Ariel, G., and Andelman, D., Kinetics of surfactant adsorption: The free energy approach, Colloids Surf. A, 183-185, 259-276, 2001.
32. van der Sman, R.G.M. and van der Graaf, S., Diffuse interface model for surfactant adsorption onto evolving interface, Rheologica Acta, 2006.
33. Abrahamse, A.J., van der Padt, A., Boom, R.M., and de Heij, W.B.C., Process fundamentals of membrane emulsification-simulation with CFD, AIChE J., 47(6), 1285-1291, 2001.
34. Sugiura, S., Nakajima, M., Iwamoto, S., and Seki, M., Interfacial tension driven monodispersed droplet formation from microfabricated channel array, Langmuir, 17, 5562-5566, 2001.
35. Kuiper, S., van Rijn, C.J.M., Nijdam, W., Krijnen, G.J.M., and Elwenspoek, M.C., Determination of particle-release conditions in microfiltration: A simple single-particle model tested on a model membrane, J. Membr. Sci., 180, 15-28, 2000.
36. van der Graaf, S., Schroen, C.G.P.H., and Boom, R.M., Preparation of double emulsions by membrane emulsification-a review, J. Membr. Sci., 251, 7-15, 2005.
37. Verberg, R., Pooley, C.M., Yeomans, J.M., and Balazs, A.C., Pattern formation in binary fluids confined between rough, chemically heterogeneous surfaces, Phys. Rev. Lett., 93(18), 184501, 2004.
38. Briant, A.J., Papatzacos, P., and Yeomans, J.M., Lattice Boltzmann simulations of contact line motion in a liquid-gas system, Philos. Trans. R. Soc. London, 360, 485-495, 2002.
39. Garstecki, P., Stone, H.A., and Whitesides, G.M., Mechanism for flow-rate controlled breakup in confined geometries: A route to monodisperse emulsions, Phys. Rev. Lett., 94, 164501, 2005.
40. Tice, J.D., Song, H., Lyon, A.D., and Ismagilov, R.F., Formation of droplets and mixing in multiphase microfluidics at low values of the Reynolds and the capillary numbers, Langmuir, 19, 9127-9133, 2003.
41. Christov, N.C., Ganchev, D.N., Vassileva, N.D., Denkov, N.D., Danov, K.D., and Kralchevesky, P.A., Capillary mechanisms in membrane emulsification: Oil-in-water emulsions stabilised by Tween 20 and milk proteins, Colloids Surf. A, 209, 83-104, 2000.
42. Kromkamp, J., van den Ende, D.T.M., Khandai, D., van der Sman, R.G.M., and Boom, R.M., Shearinduced self-diffusion and microstructure in non-Brownian suspensions at non-zero Reynolds numbers, J. Fluid Mech., 529, 253-278, 2005.
43. Brans, G., van der Sman, R.G.M., and Schroën, C.G.P.H., Optimization of the membrane and pore geometry for micro-machined membranes, J. Membr. Sci., 278(1-2), 239-250, 2006.
44. Kromkamp, J., van den Ende, D.T.M., Kandhai, D., van der Sman, R.G.M., and Boom, R.M., Lattice Boltzmann simulation of 2D and 3D non-Brownian suspensions in Couette flow, Chem. Eng. Sci., 61(2), 858-873, 2006.
45. Romero, C.A. and Davies, R.H., Global model of crossflow microfiltration based on hydrodynamic particle diffusion, J. Membr. Sci., 39, 157-185, 1988.
46. Korner, C., Thies, M., and Singer, R.F., Modeling of metal foaming with lattice Boltzmann automata, Adv. Eng. Mater., 4(10), 765-769, 2002.
47. Denniston, C., Orlandini, E., and Yeomans, J.M., Simulations of liquid crystal hydrodynamics in the isotropic and nematic phases, Europhys. Lett., 52(4), 481-487, 2000.
48. Verberg, R., Yeomans, J.M., and Balazs, A.C., Modeling the flow of fluid/particle mixtures in microchannels: Encapsulating nanoparticles within monodisperse droplets, J. Chem. Phys., 123(22), 224706, 2005.
49. Onishi, J., Chen, Y., and Ohash, H., A lattice Boltzmann model for polymeric liquids, Prog. Comput. Fluid Dyn., 5(1-2), 75-84, 2005.