Numerical simulation of gas bubbles behaviour using a three-dimensional volume of fluid method

Chemical Engineering Science

Volumn 60, Issue 11, 2005, Pages 2999-3011

  Van Sint Annaland, M ^a   Deen, N G ^a   Kuipers, J A M ^a  

^a UNIVERSITY OF TWENTE   (Netherlands)

Author keywords

Bubble coalescence; Bubble shape; Bubble terminal rise velocity; Volume of fluid

Indexed keywords

ALGORITHMS; COALESCENCE; COMPUTER SIMULATION; GASES; MATHEMATICAL MODELS; REYNOLDS NUMBER; SURFACE TENSION; VISCOSITY; VORTEX FLOW;

GAS BUBBLES; INTERFACE RECONSTRUCTION; VOLUME OF FLUID (VOF);

BUBBLES (IN FLUIDS);

BUBBLY FLOW; MATHEMATICAL ANALYSIS;

EID: 15944371872     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2005.01.031     Document Type: Article

References (37)

1. J.U. Brackbill, D.B. Kothe, and C. Zemach A continuum method for modeling surface tension Journal of Computational Physics 100 1992 335
2. Brereton, G., Korotney, D., 1991. Coaxial and oblique coalescence of two rising bubbles. In: Sahin, I., Tryggvason, G. (Eds.), Dynamics of Bubbles and Vortices Near a Free Surface, AMD-vol. 119 ASME, New York.
3. M. Bussman, J. Mostaghimi, and S. Chandra On a three-dimensional volume tracking model of droplet impact Physics of Fluids 11 1999 1406 1417
4. J. Centrella, and J. Wilson Planar numerical cosmology. II. The difference equations and numerical tests Astrophysical Journal Supplement Series 54 1984 229
5. Y.C. Chang, T.Y. Hou, B. Merriman, and S. Osher A level set formulation of Eulerian interface capturing methods for incompressible fluid flows Journal of Computational Physics 124 1996 449 464
6. R. Clift, J.R. Grace, and M. Weber Bubbles, Drops and Particles 1978 Academic Press New York
7. N.G. Deen, M. van Sint Annaland, and J.A.M. Kuipers Multi-level modelling of dispersed gas-liquid two-phase flow Chemical Engineering Science 59 2004 1853 1861
8. Delnoij, E., 1999. Fluid dynamics of gas-liquid bubble columns: a theoretical and experimental study. Ph.D. Thesis, Twente University, The Netherlands.
9. A. Esmaeeli, and G. Tryggvason Direct numerical simulation of bubble flows. Part I. Low Reynolds number arrays Journal of Fluid Mechanics 377 1998 313 345
10. A. Esmaeeli, and G. Tryggvason Direct numerical simulation of bubble flows. Part II. Moderate Reynolds number arrays Journal of Fluid Mechanics 385 1998 325 358
11. R. Fedkiw, and S. Osher Level-set methods an overview and some recent results Journal of Computational Physics 169 2001 463
12. J.R. Grace Shapes and velocities of bubbles rising in infinite liquids Transactions of the Institution of Chemical Engineering 51 1973 116 120
13. C.W. Hirt, and B.D. Nichols Volume of fluid (VOF) method for the dynamics of free boundaries Journal of Computational Physics 39 1981 201
14. M. Ida An improved unified solver for compressible and incompressible fluids involving free surfaces. Part I. Convection Computer Physics Communications 132 2000 44 65
15. A.J.C. Ladd Numerical simulations of particulate suspensions via a discretised Boltzmann equation. Part 1. Theoretical foundation Journal of Fluid Mechanics 271 1994 285 309
16. A.J.C. Ladd Numerical simulations of particulate suspensions via a discretised Boltzmann equation. Part 2. Numerical results Journal of Fluid Mechanics 271 1994 311 339
17. W.F. Noh, and P.R. Woodward SLIC (Simple Line Interface Calculation) method A.I. van de Vooren P.J. Zandbergen Lecture Notes in Physics 1976 330
18. C.S. Peskin Numerical analysis of blood flow in the heart Journal of Computational Physics 25 1977 220 252
19. S. Popinet, and S. Zaleski A front-tracking algorithm for accurate representation of surface tension International Journal of Numerical Methods in Fluids 30 1999 775 793
20. Prosperetti, A., 2001. Navier-Stokes numerical algorithms for free-surface flow computations: an overview. Drop Surface Interactions, 21.
21. Rider, W.J., Kothe, D.B., 1995. Stretching and tearing interface tracking methods, Los Alamos National Laboratory. Available on World Wide Web at: http://laws.lanl.gov/XHM/personnel/wjr/Web_papers/pubs.html.
22. W.J. Rider, and D.B. Kothe Reconstructing volume tracking Journal of Computational Physics 141 1998 112 152
23. M. Rudman Volume-tracking methods for interfacial flow calculations International Journal of Numerical Methods in Fluids 24 1997 671 691
24. M. Rudman A volume-tracking method for incompressible multifluid flows with large density variations International Journal of Numerical Methods in Fluids 28 1998 357 378
25. W. Sabisch, M. Worner, G. Grotzbach, and D.G. Cacuci Driedimensionale numerische Simulation von aufsteigenden Einzelblasen und Blasenschwarmen mit einer Volume-of Fluid-Methode Chemie Ingenieur Technik 73 2001 368 373
26. Sankaranarayanan, K., Shah, X., Kevrekidis, I.G., Sundaresan, S., 2002b. Analysis of drag and added mass forces in bubbly suspensions using an implicit formulation of the lattice Boltzmann method. Journal of Fluid Mechanics 452, 61-96.
27. Sankaranarayanan, K., Sundaresan, S., 2002a. Lift force in bubble suspensions. Chemical Engineering Science 57, 3521-3542.
28. S. Scardovelli, and S. Zaleski Direct numerical simulation of free-surface and interfacial flow Annual Review of Fluid Dynamics 31 1999 567 603
29. J.A. Sethian Level Set Methods 1996 Cambridge University Press Cambridge, UK
30. M. Sussman, and E. Fatemi An efficient interface-preserving level set redistancing algorithm and its application to interfacial incompressible fluid flow SIAM Journal on Scientific Computing 20 1999 1165 1191
31. M. Sussman, and P. Smereka Axi-symmetric free boundary problems Journal of Fluid Mechanics 341 1997 269 294
32. M. Sussman, P. Smereka, and S. Osher A level set approach for computing solutions to incompressible two-phase flow Journal of Computational Physics 114 1994 146 159
33. M. Sussman, A.S. Almgren, J.B. Bell, P. Colella, L.H. Howell, and M.L. Welcome An adaptive level set approach for incompressible two-phase flows Journal of Computational Physics 148 1999 81 124
34. G. Tryggvasson, B. Bunner, and A. Esmaeeli A front tracking method for the computations of multiphase flow Journal of Computational Physics 169 2 2001 708 759
35. S.O. Unverdi, and G. Tryggvason A front-tracking method for viscous, incompressible multi-fluid flows Journal of Computational Physics 100 1992 25 37
36. Welch, J.E., Harlow, F.H., Shannon, J.P., Daly, B.J., 1965. The MAC method: a computing technique for solving viscous incompressible transient fluid flow problems involving free surfaces. Los Alamos Scientific Laboratory Report LA-3425.
37. D.L. Youngs Time-dependent multi-material flow with large fluid distortion K.W. Morton M.J. Bianes Numerical Methods for Fluid Dynamics 1982 Academic Press New York 273 285