Theoretical derivation of the interaction effects with expansion effects to bubbly two-phase flows

Annals of Nuclear Energy

Volumn 31, Issue 2, 2004, Pages 117-133

  Espinosa Paredes, Gilberto ^a,b   Cazarez Candia, Octavio ^b   Vazquez, Alejandro ^a  

^a DEPARTAMENTO DE QUÍMICA   (Mexico)

^b INSTITUTO MEXICANO DEL PETRÓLEO   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

BUBBLES (IN FLUIDS); INTERFACES (MATERIALS); MATHEMATICAL TECHNIQUES;

EXPANSION EFFECTS;

HYDRODYNAMICS;

EID: 0141707681     PISSN: 03064549     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0306-4549(03)00218-4     Document Type: Article

References (29)

1. Banerjee S., Chan A.M. Separated flow model, I-analysis of the averaged and local instantaneous formulations. Int. J. Multiphase Flow. 6:1980;1-24.
2. Biesheuvel A., van Wijngaarden L. Two-phase flow equations for a dilute dispersion of gas bubbles in liquid. J. Fluid Mech. 148:1984;301-318.
3. Biesheuvel A., Spoelstra S. The added mass coefficient of a dispersion of spherical gas bubbles in liquid. Int. J. Multiphase Flow. 15:1989;911-924.
4. Cheng L.Y., Drew D.A., Lahey R.T. An analysis of wave propagation in bubbly two-component two-phase flows. J. Heat Transfer. 107:1985;402-408.
5. Currie I.G. Fundamental Mechanics of Fluids. 1974;McGraw-Hill.
6. Delhaye J.M. Basic equations for two phase flow modeling. Bergles A.E., Collier J.G., Delhaye J.M., Hewitt G.F., Mayinger F. Two-phase Flow and Heat Transfer in the Power and Process Industries. 1981;40-97 Hemisphere, Washington, DC.
7. Drew D.A., Cheng L.Y., Lahey R.T. The analysis of virtual mass effects in two-phase flow. Int. J. Multiphase Flow. 5:1979;233-242.
8. Espinosa-Paredes G., Soria A. Method of finite difference solutions to the transient bubbly air-water flows. Int. J. Numer. Meth. Fluids. 26:1998;1155-1180.
9. Espinosa-Paredes G. Theoretical derivation of the interaction effects with an eccentric cell model and void fraction propagation in two-phase flow. Annals of Nuclear Energy. 28:2001;659-688.
10. Espinosa-Paredes G., Cazarez-Candia O., García-Gutierrez A., Martinez-Mendez J. Void fraction propagation in a bubbly two-phase flow with expansion effects. Annals of Nuclear Energy. 29:2002;1261-1298.
11. Gray W.G. A derivation of the equations for multiphase transport. Chem. Engng. Sci. 30:1975;229-233.
12. Gray W.G., Lee P.C.Y. On the theorems for local volume averaging of multiphase systems. Int. J. Multiphase Flow. 3:1977;333-340.
13. Harmathy T.Z. Velocity of large drops and bubbles in media of infinite or restricted extent. A.I.Ch.E. J. 6:1960;281-288.
14. Hassanizadeh M., Gray W.G. General conservation equations for multiphase system. 1. Averaging procedure Adv. Water Resourc. 2:1979;131-144.
15. Ishii M. Thermo-Fluid Dynamic Theory of Two-Phase Flow. 1975;Eyrolles, Paris.
16. Ishii M., Mishima K. Two-fluid model and hydrodynamic constitutive relations. Nuclear Eng. Design. 82:1984;107-126.
17. Lahey R.T., Cheng L.Y., Drew D.A., Flaherty J.E. The effect of virtual mass on the numerical stability of accelerating two-phase flow. Int. J. Multiphase Flow. 6:1980;281-294.
18. Lahey R.T., Drew D.A. The three-dimensional time and volume averaged conservation equations of two-phase flow. Adv. Nuclear Sci. Technol. 20:1989;1-69.
19. Lahey R.T. Void wave propagation phenomena in two-phase flow. A.I.Ch.E. J. 37:1991;123-135.
20. Lahey R.T. Wave propagation phenomena in two-phase flow. Lahey R.T. Boiling Heat Transfer. 1992;123-173 Elsevier Science Publishers, The Netherlands.
21. Pauchon C., Banerjee S. Interphase momentum interaction effects in the averaged multifield model. Part I: void propagation in bubbly flows. Int. J. Multiphase Flow. 12:1986;559-573.
22. Pauchon C., Banerjee S. Interphase momentum interaction effects in the averaged multifield model. Part II: kinematic waves and interfacial drag in bubbly flows. Int. J. Multiphase Flow. 14:1988;253-264.
23. Pauchon C., Smeraka P. Momentum interactions in dispersed flow. an averaging and a variational approach Int. J. Multiphase Flow. 18:1992;65-87.
24. Stuhmiller J.H. The influence of interfacial pressure forces on the character of two-phase flow model equations. Int. J. Multiphase Flow. 3:1977;551-560.
25. van Wijngaarden L. One-dimensional flow of liquids containing small gas bubbles. Ann. Rev. Fluid Mech. 4:1972;369-398.
26. van Wijngaarden L. Hydrodynamic interaction between gas bubbles in liquid. J. Fluid Mech. 77:1976;27-44.
27. Whitaker S. Flow in porous media. a theoretical derivation of Darcy's Law Transport in Porous Media. 1:1986;3-25.
28. Yadigaroglu G., Lahey R.T. On the various forms of the conservation equations in two-phase flow. Int. J. Multiphase Flow. 2:1976;477-494.
29. Zuber N. On the disperse two-phase flow in the laminar flow regime. Chem. Eng. Sci. 49:1964;897-917.