Bubble transport in three-dimensional laminar gravity-driven flow - Mathematical formulation

Journal of Non-Crystalline Solids

Volumn 336, Issue 2, 2004, Pages 71-83

  Pilon, Laurent ^a   Fedorov, Andrei G ^b   Ramkrishna, D ^c   Viskanta, Raymond ^c  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^c PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COALESCENCE; DROP BREAKUP; GLASS; GROWTH (MATERIALS); MELTING; NUCLEATION; PROBABILITY DENSITY FUNCTION; SHRINKAGE; TWO PHASE FLOW;

GLASS MELTING; GRAVITY DRIVEN FLOW; MOLAR FRACTION;

BUBBLES (IN FLUIDS);

EID: 1842558235     PISSN: 00223093     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnoncrysol.2004.01.010     Document Type: Article

References (67)

1. Beerkens R.G.C. Glastech. Ber. 71(12):1995;369.
2. Balkanli B., Ungan A. Glass Technol. 37(1):1996;29.
3. Hermans J.M., Verbeeks A.C. Glastech. Ber. 67(2):1994;49.
4. Swarts E.L. Glastech. Ber. 65(4):1992;87.
5. Pilon L., Viskanta R. J. Am. Ceram. Soc. 86(8):2003;1313.
6. Baillis D., Pilon L., Randranalisoa F., Gomez R., Viskanta R. J. Opt. Soc. Am. A. 21:2004;149.
7. D. Baillis, F. Randranalisoa, L. Pilon, R. Viskanta, Identification of radiative characteristics of fused quartz containing bubbles using discrete ordinates method with Fresnel interfaces, in: Computational Thermal Radiation in Participating Media - EU-ROTHERM Seminar 73, Mons, Belgium, April 2003, p. 215.
8. Fedorov A.G., Pilon L. J. Non-Cryst. Solids. 311:2002;154.
9. Rubin M. Solar Energy Mater. 12:1985;275.
10. Tan C.Z., Arndt J. J. Phys. Chem. Solids. 62:2001;1087.
11. Ungan A., Viskanta R. Glastech. Ber. 59(10):1986;279.
12. P.R. Laimbock, PhD thesis, Technical University of Eindhoven, Eindhoven, The Netherlands, 1998.
13. Kawachi S., Kawase Y. Glastech. Ber. 71(4):1998;83.
14. Itoh E., Yoshikawa H., Miura H., Kawase Y. Glass Technol. 38(4):1997;134.
15. Nemec L. Glass Technol. 21(3):1980;134.
16. Beerkens R.G.C., De Wall H. J. Am. Ceram. Soc. 73(7):1990;1857.
17. Yoshikawa H., Kawase Y. Glastech. Ber. 70(2):1997;31.
18. Yoshikawa H., Miura H., Kawase Y. J. Mater. Sci. 33(10):1998;2701.
19. Shelby J.E. Handbook of Gas Diffusion in Solids and Melts. 1996;ASM International, Materials Park, OH.
20. Cable M., Martlew D. Glass Technol. 37(4):1996;137.
21. J. Shell, Representative video and operating conditions of the Techneglas furnace C, personal communication, July 1999.
22. Weinberg M.C., Onorato P.I.K., Uhlmann D.R. J. Am. Ceram. Soc. 63:1980;175.
23. Nemec L. Glass Technol. 10:1969;176.
24. Cable M., Frade J.R. Glastech. Ber. 60(11):1987;355.
25. Weinberg M.C., Onorato P.I.K., Uhlmann D.R. J. Am. Ceram. Soc. 63:1980;435.
26. Onorato P.I.K., Weinberg M.C., Uhlmann D.R. J. Am. Ceram. Soc. 64:1981;676.
27. Itoh E., Yoshikawa H., Kawase Y. Glastech. Ber. 70(1):1997;8.
28. Ramos J.I. J. Am. Ceram. Soc. 69(2):1986;149.
29. Balkanli B., Ungan A. Glass Technol. 37(4):1996;137.
30. Kawachi S., Kawase Y. Glastech. Ber. 71(5):1998;111.
31. Kawachi S., Kato M. Glastech. Ber. 72(6):1999;182.
32. Ungan A., Turner W.H., Viskanta R. Glastech. Ber. 56K:1983;125.
33. Ramkrishna D. Population Balances. 2000;Academic Press, San Diego, CA.
34. Roi O.T., Nölle Seidel G., Höhne D. Glastech. Ber. 67(10):1994;263.
35. Balkanli B., Ungan A. Glass Technol. 3(5):1996;164.
36. Kumar S., Ramkrishna D. Chem. Eng. Sci. 52(4):1997;4659.
37. Pilon L., Viskanta R. Int. J. Numer. Methods Fluids. 42:2003;1211.
38. Carrica P.M., Bonetto F.J., Drew D.A., Lahey R.T. Jr. Int. J. Numer. Methods Fluids. 28:1998;571.
39. King M.B. Phase Equilibrium in Mixtures. 1969;Pergamon, Oxford.
40. Lahey R.T., Drew D.A. Chem. Eng. Commun. 118:1992;125.
41. Pyare R., Singh S.P., Singh A., Nath P. Phys. Chem. Glasses. 23(5):1982;158.
42. Balkanli B., Ungan A. Glass Technol. 37(3):1996;101.
43. Rousseaux J.-M., Vial C., Muhr H., Plasari E. Chem. Eng. Sci. 56:2001;1677.
44. Levich V.G. Physicochemical Hydrodynamics (translated from Russian). 1962;Prentice-Hall, Englewood Cliffs, NJ.
45. Hornyak E.M., Weinberg M.C. Commun. Am. Ceram. Soc. 67(11):1984;C244.
46. J.J.M. Magnaudet, The forces acting on bubbles and rigid particles, in: ASME Fluids Engineering Division Summer Meeting, FEDSM'97, Part 16, Vancouver, Canada, June 22-26, 1997, vol. 16, p. 1.
47. Bird R.B., Stewart W.E., Lightfoot E.N. Transport Phenomena. 1960;John Wiley, New York.
48. Klotz I.M., Rosenberg R.M. Chemical Thermodynamics. 1991;Krieger, Malabar, FL.
49. Pilon L., Fedorov A.G., Viskanta R. J. Colloid Interf. Sci. 242:2001;425.
50. Pilon L., Fedorov A.G., Viskanta R. J. Cell. Plast. 36:2000;451.
51. Ungan A., Viskanta R. Glastech. Ber. 60(3):1987;71.
52. Ungan A., Viskanta R. Glastech. Ber. 60(4):1987;115.
53. Viskanta R. J. Non-Cryst. Solids. 177:1994;347.
54. Pilon L., Zhao G., Viskanta R. Glass Sci. Technol. 75(2):2002;55.
55. Pilon L., Zhao G., Viskanta R. Glass Sci. Technol. 75(3):2002;115.
56. Ramkrishna D. Rev. Chem. Eng. 3(1):1985;49.
57. Nemec L. J. Am. Ceram. Soc. 60(9&10):1977;436.
58. Cable M., Rasul C.G. J. Am. Ceram. Soc. 50(10):1967;528.
59. Roi O.T., Nölle Seidel G., Höhne D. Glastech. Ber. 68(7):1995;222.
60. Ungan A., Payli R.U., Balkanli B. J. Am. Ceram. Soc. 77(7):1994;1921.
61. Kirkpatrick R.D., Lockett M.J. Chem. Eng. Sci. 29:1974;2363.
62. Pilon L., Fedorov A.G., Viskanta R. Chem. Eng. Sci. 57:2002;977.
63. Fedorov A.G., Viskanta R. Phys. Chem. Glasses. 41(3):2000;127.
64. Fedorov A.G., Viskanta R. J. Am. Ceram. Soc. 83(11):2000;2769.
65. Varady M., Fedorov A.G. ASME J. Heat Transfer. 124:2002;1103.
66. Patankar S. Numerical Heat Transfer and Fluid Flow. 1980;Hemisphere, Washington, DC.
67. L. Pilon, R. Viskanta, J. Non-Cryst. Solids, this issue. doi:10.1016/j.jnoncrysol.2004.01.007.