Drag force and clustering in bubble swarms

AIChE Journal

Volumn 59, Issue 5, 2013, Pages 1791-1800

  Roghair, Ivo ^a   Van Sint Annaland, Martin ^a   Kuipers, Hans J A M ^a  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Bubble phenomena; Fluid mechanics; Multiphase flow; Multiscale modeling

Indexed keywords

BUBBLE PHENOMENA; CLUSTERING EFFECT; FRONT-TRACKING MODELS; GAS-LIQUID INTERFACE; HORIZONTAL ARRAYS; INTERFACE DEFORMATION; LIQUID PHASE VISCOSITY; MULTI-SCALE MODELING;

DRAG; DRAG COEFFICIENT; FLUID MECHANICS; LIQUIDS; MULTIPHASE FLOW; REYNOLDS NUMBER; SURFACE TENSION;

PHASE INTERFACES;

EID: 84876344068     PISSN: 00011541     EISSN: 15475905     Source Type: Journal    
DOI: 10.1002/aic.13949     Document Type: Article

References (28)

1. Deen NG, Mudde RF, Kuipers JAM, Zehner P, Kraume M. Bubble columns. In:Ullmann's Encyclopedia of Industrial Chemistry. Weinheim:Wiley-VCH Verlag GmbH & Co. KGaA, 2010.
2. Deen NG, Van Sint Annaland M, Kuipers JAM. Multi-scale modeling of dispersed gas-liquid two-phase flow. Chem Eng Sci. 2004;59:1853-1861.
3. Lau YM, Roghair I, Deen NG, Van Sint Annaland M, Kuipers JAM. Numerical investigation of the drag closure for bubbles in bubble swarms. Chem Eng Sci. 2011;66:3309-3316.
4. Mei R, Lawrence CJ, Klausner JF. A note on the history force on a spherical bubble at finite Reynolds number. Phys Fluids. 1994;6:418-420.
5. Tomiyama A. Struggle with computational bubble dynamics. In: 3rd International Conference on Multiphase Flow. Lyon, France, June 8-12, 1998.
6. Dijkhuizen W, Roghair I, Van Sint Annaland M, Kuipers JAM. DNS of gas bubbles behaviour using an improved 3D front tracking model-Drag force on isolated bubbles and comparison with experiments. Chem Eng Sci. 2010;65:1415-1426.
7. Legendre D, Magnaudet J. The lift force on a spherical bubble in a viscous linear shear flow. J Fluid Mech. 1998;368:81-126.
8. Tomiyama A, Tamai H, Zun I, Hosokawa S. Transverse migration of single bubbles in simple shear flows. Chem Eng Sci. 2002;57:1849-1858.
9. Dijkhuizen W, Van Sint Annaland M, Kuipers JAM. Numerical and experimental investigation of the lift force on single bubbles. Chem Eng Sci. 2010;65:1274-1287.
10. Bunner B, Tryggvason G. Dynamics of homogeneous bubbly flows part I. rise velocity and microstructure of the bubbles. J Fluid Mech. 2002;466:17-52.
11. Simonnet M, Gentric C, Olmos E, Midoux N. Experimental determination of the drag coefficient in a swarm of bubbles. Chem Eng Sci. 2007;62:858-866.
12. Smolianski A, Haario H, Luukka P. Numerical study of dynamics of single bubbles and bubble swarms. Appl Math Model. 2008;32:641-659.
13. Dijkhuizen W, Roghair I, Van Sint Annaland M, Kuipers JAM. Numerical derivation of the drag force coefficient in bubble swarms using a front tracking model. In:6th International Conference on CFD in the Oil and Gas, Metallurgical and Process Industries. 2008:CFD08-070.
14. Roghair I, Lau YM, Deen NG, Slagter HM, Baltussen MW, Van Sint Annaland M, Kuipers JAM. On the drag force of bubbles in bubble swarms at intermediate and high Reynolds numbers. Chem Eng Sci. 2011;66:3204-3211.
15. Grace JR. Shapes and velocities of bubbles rising in infinite liquids. Trans Inst Chem Eng. 1973;51:116-120.
16. Biesheuvel A, van Wijngaarden L. The motion of pairs of gas bubbles in a perfect liquid. J Eng Math. 1982;16:349-365.
17. van Wijngaarden L. The mean rise velocity of pairwaise-interacting bubbles in liquid. J Fluid Mech. 1993;251:55-78.
18. Smereka P. On the motion of bubbles in a periodic box. J Fluid Mech. 1993;254:79-112.
19. Sangani AS, Didwania AK. Dynamic simulations of flows of bubbly liquids at large Reynolds numbers. J Fluid Mech. 1993;250:307-337.
20. Bunner B, Tryggvason G. Effect of bubble deformation on the properties of bubbly flows. J Fluid Mech. 2003;495:77-118.
21. Roig V, de Tournemine L. Measurement of interstitial velocity of homogeneous bubbly flows at low to moderate void fraction. J Fluid Mech. 2007;572:87-110.
22. Dijkhuizen W, Roghair I, Van Sint Annaland M, Kuipers JAM. Chem Eng Sci. 2010;65:1427-1437.
23. Prosperetti A. Navier-stokes numerical algorithms for free-surface flow computations: An overview. In: Rein M, editor. Drop Surface Interactions. Vienna and New York:Springer-Verlag, 2002:237-258.
24. Roghair I, Van Sint Annaland M, Kuipers JAM. Drag force on bubbles in bubble swarms. In:7th International Conference on CFD in the Oil & Gas, Metallurgical and Process Industries, Melbourne, Australia, 2009.
25. Kausch HH, Fesko DG, Tschoegl NW. The random packing of circles in a plane. J Colloid Interface Sci. 1971;37:603-611.
26. Martínez Mercado J, Chehata Gómez D, Van Gils DPM, Sun C, Lohse D. On bubble clustering and energy spectra in pseudo-turbulence. J Fluid Mech. 2010;650:287-306.
27. Zenit R, Koch DL, Sangani AS. Measurements of the average properties of a suspension of bubbles rising in a vertical channel. J Fluid Mech. 2001;429:307-342.
28. Spelt PDM, Sangani AS. Properties and averaged equations for flows of bubbly liquids. Appl Sci Res. 1998;58:337-386.