An improved model for bubble formation using the boundary-integral method

Chemical Engineering Science

Volumn 60, Issue 1, 2005, Pages 179-186

  Xiao, Zongyuan ^a   Tan, Reginald B H ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Boundary integral method; Bubble formation; Mathematical modeling; Orifice; Potential flow; Thermodynamics

Indexed keywords

BOUNDARY CONDITIONS; FLOW CONTROL; ORIFICES; ROTATIONAL FLOW; SUBMERSIBLE PUMPS; SURFACE TENSION;

LIQUID CIRCULATION; POTENTIAL-FLOW THEORY; SINGLE SUBMERGED ORIFICE;

BUBBLE FORMATION;

BUBBLY FLOW; MODELING; POTENTIAL FLOW; THERMODYNAMICS;

EID: 10244267441     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2004.07.064     Document Type: Article

References (21)

1. Abramowitz, M., Stegun, I.A., 1965. Handbook of Mathematical Functions, Dover Publications, New York.
2. Blake, J.R., Taib, B.B., Doherty, G., 1986. Transient cavities near boundaries Part I. Rigid boundary. Journal of Fluid Mechanics 170, 479-497.
3. Blake, J.R., Taib, B.B., Doherty, G., 1987. Transient cavities near boundaries. Part II. Free surface. Journal of Fluid Mechanics 181, 197-212.
4. Bonnet, M., 1995. Boundary Integral Equation Methods for Solids and Fluids, Editions Eyrolles and CNRS Editions, Paris, France.
5. Brebbia, C.A., 1978. The Boundary Element method for Engineers, Pentech Press, London.
6. Davidson, J.F., Schüler, B.O.G., 1960. Bubble formation at an orifice in an inviscid liquid. Transactions of the Institute of Chemical Engineers 38, 335-342.
7. Gray, A., 1998. Modern Differential Geometry of Curves and Surfaces, CRC Press, Boca, Raton, FL.
8. Hooper, A.P., 1986. A study of bubble formation at a submerged orifice using the boundary element method. Chemical Engineering Science 41 (7), 1879-1890.
9. Jaswon, M.A., Symm, G.T., 1977. Integral Equation Methods in Potential Theory and Elastostatics, Academic Press, London.
10. Kupferberg, A., Jameson, G.J., 1969. Bubble formation at a submerged orifice above a gas chamber of finite volume. Transactions of the Institute of Chemical Engineers 47, 241-250.
11. LaNauze, R.D., Harris, I.J., 1974. Gas bubble formation at elevated system pressure. Transactions of the Institute of Chemical Engineers 52, 337-348.
12. Liow, J., Gray, N.B., 1988. A model of bubble growth in wetting and non-wetting liquids. Chemical Engineering Science 43 (12), 3129-3139.
13. Marmur, A., Rubin, E., 1976. A theoretical model for bubble formation at an orifice submerged in an inviscid liquid. Chemical Engineering Science 31, 453-463.
14. Pinczewski, W.V., 1981. The formation and growth of bubbles at a submerged orifice. Chemical Engineering Science 36, 405-411.
15. Power, H., 1995. BE Applications in Fluid Mechanics, Computational Mechanics Publications, Southampton, Boston.
16. Pozrikidis, C., 1992. Boundary Integral and Singularity Methods for Linearized Viscous Flow, Cambridge University Press, Cambridge.
17. Ramakrishnan, S., Kumar, R., Kuloor, N.R., 1969. Studies in bubble formation-I bubble formation under constant flow conditions. Chemical Engineering Science 24, 731-748.
18. Stroud, A.H., Secrest, D., 1966. Gaussian Quadrature Formulas, Prentice-Hall, Englewood Cliffs, NJ.
19. Tan, R.B.H., Harris, I.J., 1986. A model for non-spherical bubble growth at a single orifice. Chemical Engineering Science 41 (12), 3128-3175.
20. Tsuge, H., Hibino, S., 1983. Bubble formation from an orifice submerged in liquids. Chemical Engineering Communications 22, 63-79.
21. Zhang, W., Tan, R.B.H., 2000. A model for bubble formation and weeping at a submerged orifice. Chemical Engineering Science 55, 6243-6250.