DNS of gas bubbles behaviour using an improved 3D front tracking model-Drag force on isolated bubbles and comparison with experiments

Chemical Engineering Science

Volumn 65, Issue 4, 2010, Pages 1415-1426

  Dijkhuizen, W ^a   Roghair, I ^a   Van Sint Annaland, M ^a   Kuipers, J A M ^a  

^a UNIVERSITY OF TWENTE   (Netherlands)

Author keywords

Bubbly flow; CFD; DNS; Drag force; Front tracking

Indexed keywords

AIR BUBBLES; ANALYTICAL THEORY; BUBBLY FLOW; COMPARISON WITH EXPERIMENTS; DRAG FORCES; FRONT TRACKING; FRONT-TRACKING MODELS; GAS BUBBLE; INTERFACE FORCES; ISOLATED BUBBLES; MULTI-PHASE FLOW SYSTEMS; NUMERICAL SIMULATION; PREDICTIVE CAPABILITIES; VISCOUS LIQUIDS;

COMPUTATIONAL FLUID DYNAMICS; EXPERIMENTS; INDUSTRIAL APPLICATIONS; INTERNET PROTOCOLS; MULTIPHASE FLOW; SURFACE CHEMISTRY; THREE DIMENSIONAL;

DRAG;

EID: 74649086024     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2009.10.021     Document Type: Article

References (21)

1. Clift R., Grace J.R., and Weber M.E. Bubbles, Drops and Particles (1978), Academic Press, New York
2. Deen N.G., van Sint Annaland M., and Kuipers J.A.M. Multi-scale modeling of dispersed gas-liquid two-phase flow. Chem. Eng. Sci. 59 8-9 (2004) 1853-1861. http://www.sciencedirect.com/science/article/B6TFK-4C56M50-1/2/7955b7e5648dbf1c75918b80b2baf214 ISSN 0009-2509, doi: 10.1016/j.ces.2004.01.038 〈http://www.sciencedirect.com/science/article/B6TFK-4C56M50-1/2/7955b7e5648dbf1c75918b80b2baf214〉, Complex Systems and Multi-scale Methodology
3. Dijkhuizen, W., Roghair, I., Van Sint Annaland, M., Kuipers, J., 2009. Description of an improved 3D front tracking model-model development. Chem. Eng. Sci., doi:10.1016/j.ces.2009.10.022.
4. Duineveld, P.C., 1994. Bouncing and coalescence of two bubbles in water. Ph.D. Thesis, University of Twente, The Netherlands.
5. Duineveld P.C. The rise velocity and shape of bubbles in pure water at high Reynolds number. J. Fluid Mech. 292 (1995) 325-332
6. Hadamard J. Movement permanent lent d'une sphere liquide et visqueuse dans un liquide visqueux. Comptes Rendus 152 (1911) 1735
7. Levich V.G. Bubble motion at high Reynolds numbers. Zh. Eksp. Teoret. Fiz. 19 (1949) 18-24
8. Magnaudet J., and Eames I. The motion of high-Reynolds-number bubbles in inhomogeneous flows. Annu. Rev. Fluid Mech. (2000) 659-708
9. Mei R., Lawrence C.J., and Klausner J.F. A note on the history force on a spherical bubble at finite Reynolds number. Phys. Fluids 6 (1994) 418-420
10. Moore D.W. The boundary layer on a spherical gas bubble. J. Fluid Mech. 16 (1963) 749-766
11. Moore D.W. The velocity of rise of distorted gas bubbles in a liquid of small viscosity. J. Fluid Mech. 23 (1965) 749-766
12. Palaparthi R., Papageorgiou D.T., and Maldarelli C. Theory and experiments on the stagnant cap regime in the motion of spherical surfactant-laden bubbles. J. Fluid Mech. 559 (2006) 1-44
13. Roghair, I., Dijkhuizen, W., Van Sint Annaland, M., Kuipers, J.A.M., 2008. Front tracking simulations on liquid-liquid systems; an investigation of the drag force on droplets. In: 6th International Conference on Computational Fluid Dynamics in the Oil and Gas, Metallurgical and Process Industries, Trondheim, Norway.
14. Rybcszynski, W., 1911. Über die fortschreitende Bewegung einer flüssigen Kugel in einem zähen Medium. Bull. Acad. Sci. Cracovie A 40.
15. Stokes G.G. On the effect of the internal friction of fluids on the motion of pendulums. Trans. Cambridge Philos. Soc. 9, Part II (1851) 8-106
16. Tomiyama A., Kataoka I., Zun I., and Sakaguchi T. Drag coefficients of single air bubbles under normal and micro gravity conditions. JSME Int. J. Ser. B 41 (1998) 472-479
17. Tomiyama A., Tamai H., Zun I., and Hosokawa S. Transverse migration of single bubbles in simple shear flows. Chem. Eng. Sci. 57 (2002) 1849-1858
18. Unverdi S.O., and Tryggvason G. A front tracking method for viscous, incompressible, multi-fluid flows. J. Comput. Phys. 100 (1992) 25
19. van Sint Annaland M., Deen N.G., and Kuipers J.A.M. Multi-level modeling of dispersed gas-liquid two-phase flows. Heat and Mass Transfer (2003), Springer, Berlin
20. van Sint Annaland M., Dijkhuizen W., Deen N.G., and Kuipers J.A.M. Numerical simulation of gas bubbles behaviour using a 3D front tracking method. A.I.Ch.E. J. 52 (2006) 99
21. Veldhuis, C., 2007. Leonardos paradox: path and shape instabilities of particles and bubbles. Ph.D. Thesis, University of Twente, The Netherlands.