Test-case no 29A: The velocity and shape of 2d long bubbles in inclined channels or in vertical tubes (PA, PN) part I : In a stagnant liquid

Multiphase Science and Technology

Volumn 16, Issue 1-3, 2004, Pages 177-189

  Ha Ngoc, H ^a   Fabre, J ^b  

^a INSTITUTE OF MECHANICS   (Viet Nam)

^b IMFT   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EXPERIMENTAL DATUM; INCLINED CHANNELS; NUMERICAL SOLUTION; VERTICAL TUBE;

LIQUIDS;

TUBES (COMPONENTS);

EID: 84881638331     PISSN: 02761459     EISSN: None     Source Type: Journal    
DOI: 10.1615/MultScienTechn.v16.i1-3.270     Document Type: Article

References (21)

1. Batchelor, G. K. 1967. An introduction to fluid dynamics. Cambridge University Press.
2. Bendiksen, K. H. 1984. An experimental investigation of the motion of long bubbles in inclined tubes. Int. J. Multiphase Flow, 10, 467-483.
3. Bendiksen, K. H. 1985. On the motion of long bubbles in vertical tubes. Int. J. Multiphase Flow, 11, 797-812.
4. Benjamin, T. B. 1968. Gravity currents and related phenomena. J. Fluid Mech., 31, 209-248.
5. Collins, R. 1965. A simple model of the plane gas bubble in a finite liquid. J. Fluid. Mech., 22, 763-771.
6. Collins, R., De Moraes, F. F., Davidson, J. F., & Harrison, D. 1978. The motion of a large gas bubble rising though liquid flowing in a tube. J. Fluid. Mech., 89, 497-514.
7. Couët, B., & Strumulo, G. S. 1987. The effects of surface tension and tube inclination on a two-dimensional rising bubble. J. Fluids Mech., 184, 1-14.
8. Davies, R. M., & Taylor, G. 1950. The mechanics of large bubbles rising through extended liquids and through liquids in tubes. Proc. Roy. Soc. Ser. A, 200, 375-390.
9. Dumitrescu, D. T. 1943. Strömung an einer Luftblase im Senkrechten Rohr. Z. Angew. Math. Mech., 23, 139.
10. Garabedian, P. R. 1957. On steady-state bubbles generated by Taylor instability. Proc. Roy. Soc. Ser. A., 241, 423-431.
11. Ha-Ngoc, H. 2003. Etude théorique et numérique du mouvement de poches de gaz en canal et en tube. Ph.D. thesis, Institut National Polytechnique de Toulouse, France.
12. Héraud, P. 2002. Etude expérimentale de dynamique de bulles. Ph.D. thesis, Université de Provence, France.
13. Lamb, H. 1932. Hydrodynamics. Cambridge University Press.
14. Maneri, C., & Zuber, N. 1974. An experimental study of plane bubbles rising at inclination. Int. J. Multiphase Flow, 1, 623-645.
15. Mao, Z. S., & Dukler, A. E. 1990. The motion of Taylor bubbles in vertical tubes I. A numerical simulation for the shape and rise velocity of Taylor bubbles in stagnant and flowing liquids. J. Comp. Phys., 91, 132-160.
16. Mao, Z. S., & Dukler, A. E. 1991. The motion of Taylor bubbles in vertical tubes II. Experimental data and simulations for laminar and turbulent flow. Chem. Eng. Sci., 46, 2055-2064.
17. Vanden-Broëck, J. M. 1984a. Bubbles rising in a tube and jets falling from a nozzle. Phys. Fluids, 27, 1090-1093.
18. Vanden-Broëck, J. M. 1984b. Rising bubble in two-dimensional tube with surface tension. Phys. Fluids, 27, 2604-2607.
19. Wallis, G. B. 1969. One Dimensional Two-phase Flow. McGraw-Hill, New York.
20. White, E. T., & Beardmore, R. H. 1962. The velocity of rise of single cylindrical bubbles through liquids contained in vertical tubes. Chem. Eng. Sci., 17, 351-361.
21. Zukoski, E. E. 1966. Influence of viscosity, surface tension, and inclination angle on motion of long bubbles in closed tubes. J.Fluid Mech., 25, 821-837.