Three-dimensional binary-liquid lattice Boltzmann simulation of microchannels with rectangular cross sections

Chemical Engineering Journal

Volumn 178, Issue , 2011, Pages 306-316

  Kuzmin, A ^a   Januszewski, M ^b   Eskin, D ^c   Mostowfi, F ^c   Derksen, J J ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

^b UNIVERSITY OF SILESIA   (Poland)

^c SCHLUMBERGER   (Canada)

Author keywords

Binary liquid model; Flow in microchannels with square cross sections; Gravity driven; Lattice Boltzmann method; Microchannel simulation; Multiphase flow; Taylor Bretherton problem

Indexed keywords

BINS; BUBBLES (IN FLUIDS); CALCIUM; CAPILLARITY; COMPUTATIONAL FLUID DYNAMICS; FREE ENERGY; KINETIC THEORY; LIQUID FILMS; MICROCHANNELS; MICROFLUIDICS; MULTIPHASE FLOW; PARALLEL FLOW; REYNOLDS NUMBER;

BINARY LIQUIDS; FLOW BETWEEN PARALLEL PLATES; LATTICE BOLTZMANN METHOD; LATTICE BOLTZMANN METHODS (LBM); LATTICE BOLTZMANN SIMULATIONS; PERIODIC BOUNDARY CONDITIONS; SQUARE CROSS SECTION; TAYLOR/BRETHERTON PROBLEM;

LIQUIDS;

EID: 84857647657     PISSN: 13858947     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cej.2011.10.010     Document Type: Article

References (41)

1. A. Kuzmin, M. Januszewski, D. Eskin, F. Mostowfi, J.J. Derksen, Simulations of gravity-driven flow of binary liquids in microchannels, Chem. Eng. J. 171 (2) (2011) 646-654.
2. F.P. Bretherton, The motion of long bubbles in tubes, J. Fluid Mech. 10 (2) (1960) 166-188.
3. R. Gupta, D.F. Fletcher, B.S. Haynes, Taylor flow in microchannels: a review of experimental and computational work, J. Comput. Multiphase Flows 2 (2010) 1-32.
4. M. Heil, Finite Reynolds number effects in the Bretherton problem, Phys. Fluids 13 (9) (2001) 2517-2521.
5. M.T. Kreutzer, M.G. van der Eijnded, F. Kapteijn, J.A. Moulijn, J.J. Heiszwolf, The pressure drop experiment to determine slug lengths in multiphase monoliths, Catal. Today 105 (2005) 667-672.
6. T.C. Thulasidas, M.A. Abraham, R.L. Cerro, Bubble-train flow in capillaries of circular and square cross section, Chem. Eng. Sci. 50 (2) (1995) 183-199.
7. K. Fukagata, N. Kasagi, P. Ua-arayaporn, T. Himeno, Numerical simulation of gas-liquid two-phase flow and convective heat transfer in a micro tube, Int. J. Heat Fluid Flow 28 (2007) 72-82.
8. P. Aussillous, D. Quere, Quick deposition of a fluid on the wall of a tube, Phys. Fluids 12 (10) (2000) 2367-2371.
9. M.D. Giavedoni, F.A. Saita, The axisymmetric and plane cases of a gas phase steadily displacing a Newtonian liquid - a simultaneous solution of the governing equations, Phys. Fluids 9 (8) (1997) 2420-2428.
10. Y. Han, N. Shikazono, Measurement of liquid film thickness in micro square channel, Int. J. Multiphase Flows 35 (2009) 896-903.
11. A.L. Hazel, M. Heil, The steady propagation of a semi-infinite bubble into a tube of elliptical or rectangular cross-section, J. Fluid Mech. 470 (2002) 91-114.
12. D. Liu, S. Wang, Hydrodynamics of Taylor flow in noncircular capillaries, Chem. Eng. Process. 47 (2008) 2098-2106.
13. H. Wong, C.J. Radke, S. Morris, The motion of long bubble in polygonal capillaries. Part 1. Thin films, J. Fluid Mech. 292 (1995) 71-94.
14. W.B. Kolb, R.L. Cerro, Film flow in the space between a circular bubble and a square tube, J. Colloids Interface Sci. 159 (1993) 302-311.
15. H. Wong, C.J. Radke, S. Morris, The motion of long bubbles in polygonal capillaries. Part 2. Drag, fluid pressure and fluid flow, J. Fluid Mech. 292 (1995) 95-110.
16. M.T. Kreutzer, F. Kapteijn, J.A. Moulijn, C.R. Klejn, J.J. Heiszwolf, Inertial and interfacial effects on pressure drop of Taylor flow in capillaries, AIChE J. 51 (9) (2005) 2428-2440.
17. D.M. Anderson, G.B. McFadden, A.A. Wheeler, Diffuse-interface methods in fluid mechanics, Annu. Rev. Fluid Mech. 30 (1998) 139-165.
18. E. Gurtin, D. Polignone, J. Vinals, Two-phase binary fluids and immiscible fluids described by an order parameter, Math. Models Methods Appl. Sci. 6 (6) (1996) 815-831.
19. D. Yu, R. Mei, L.-S. Luo, W. Shyy, Viscous flow computations with the method of lattice Boltzmann equation, Prog. Aerosp. Sci. 39 (2003) 329-367.
20. S. Ansumali, I.V. Karlin, H.C. Öttinger, Minimal entropic kinetic models for hydrodynamics, Europhys. Lett. 63 (6) (2003) 798-804.
21. S. Ansumali, I.V. Karlin, C.E. Frouzakis, K.B. Boulouchos, Entropic lattice Boltzmann method for microflows, Physica A 359 (2006) 289-305.
22. G. Falcucci, G. Chiatti, S. Succi, A.A. Mohamad, A. Kuzmin, Rupture of a ferrofluid droplet in external magnetic fields using a single-component lattice Boltzmann model for nonideal fluids, Phys. Rev. E 79 (056706) (2009) 1-5.
23. M.R. Swift, W.R. Osborn, J.M. Yeomans, Lattice Boltzmann simulation of nonideal fluids, Phys. Rev. Lett. 75 (5) (1995) 831-834.
24. X. Shan, H. Chen, Simulation of nonideal gases and gas-liquid phase transitions by the lattice Boltzmann equation, Phys. Rev. E 49 (4) (1994) 2941-2948.
25. G. Falcucci, S. Succi, S. Ubertini, Magnetically driven droplet break-up and vaporization: a lattice Boltzmann study, J. Stat. Mech. 2010 (5) (2010) 1-10.
26. J.J. Derksen, Simulations of lateral mixing in cross-channel flow, Comput. Fluids 39 (2010) 1058-1069.
27. M. Sbragaglia, R. Benzi, L. Biferali, S. Succi, K. Sugiyama, F. Toschi, Generalized lattice Boltzmann method with multirange potential, Phys. Rev. E 75 (026702) (2007) 1-13.
28. C.M. Pooley, H. Kusumaatmaja, J.M. Yeomans, Modeling capillary filling dynamics using lattice Boltzmann simulations, Eur. Phys. J. Spec. Top. 171 (2009) 63-71.
29. R. Ledesma-Aguilar, I. Pagonabarraga, A. Hernàndez-Machado, Threedimensional aspects of fluid flows in channels. II. Effects of meniscus and thin film regimes on viscous fingers, Phys. Fluids 19 (102113) (2007) 1-8.
30. Z.L. Yang, B. Palm, B.R. Sehgal, Numerical simulation of bubbly two-phase flow in a narrow channel, Int. J. Heat Mass Transfer 45 (2002) 631-639.
31. B.R. Sehgal, R.R. Nourgaliev, T.N. Dinh, Numerical simulation of droplet deformation and break-up by lattice-Boltzmann method, Prog. Nucl. Energy 34 (4) (1999) 471-488.
32. I. Ginzburg, F. Verhaeghe, D. d'Humières, Two-relaxation-time Lattice Boltzmann scheme: about parameterization, velocity, pressure and mixed boundary conditions, Commun. Comput. Phys. 3 (2) (2008) 427-478.
33. L. Landau, E. Lifshitz, Fluid Mechanics, Oxford, Pergamon, 1987.
34. C.M. Pooley, H. Kusumaatmaja, J.M. Yeomans, Contact line dynamics in binary lattice Boltzmann simulations, Phys. Rev. E 78 (056709) (2008) 1-9.
35. C.M. Pooley, K. Furtado, Eliminating spurious velocities in the freeenergy lattice Boltzmann method, Phys. Rev. E 77 (046702) (2008) 1-9.
36. X. Shan, Analysis and reduction of the spurious current in a class of multiphase lattice Boltzmann models, Phys. Rev. E 73 (047701) (2006) 1-4.
37. M.T. Kreutzer, F. Kapteijn, J.A. Moulijn, J.J. Heiszwolf, Multiphase monolith reactors: chemical reaction engineering of segmented flow in microchannels, Chem. Eng. Sci. 60 (2005) 5895-5916.
38. J. Yue, L. Luo, Y. Gonthier, G. Chen, Q. Yuan, An experimental study of air-water Taylor flow and mass transfer inside square microchannels, Chem. Eng. Sci. 64 (2009) 3697-3708.
39. A. Kuzmin, I. Ginzburg, A.A. Mohamad, A role of the kinetic parameter on the stability of the two-relaxation-times advection-diffusion lattice Boltzmann schemes, Comput. Math. Appl. 61 (12) (2011) 3417-3442.
40. I. Ginzburg, F. Verhaeghe, D. d'Humières, Study of simple hydrodynamic solutions with the two-relaxation-times lattice Boltzmann scheme, Commun. Comput. Phys. 3 (3) (2008) 519-581.
41. V.M. Kendon, M.E. Cates, I. Pagonabarraga, J.-C. Desplat, P. Bladon, Inertial effects in three-dimensional spinoidal decomposition of a symmetric binary fluid mixture: a lattice Boltzmann study, J. Fluid Mech. 440 (2001) 147-203.