Theoretical derivation of the interaction effects with an eccentric cell model and void fraction propagation in two-phase flow

Annals of Nuclear Energy

Volumn 28, Issue 7, 2001, Pages 659-688

  Espinosa Paredes, Gilberto ^a  

^a UNIVERSIDAD AUTÓNOMA METROPOLITANA   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

BUBBLES (IN FLUIDS); DISPERSIONS; INCOMPRESSIBLE FLOW; MATHEMATICAL MODELS; POTENTIAL FLOW; TWO PHASE FLOW; WAVE EQUATIONS; WAVE PROPAGATION;

AVERAGED VOLUME TRANSPORT EQUATIONS; CLOSURE AVERAGED MODEL; ECCENTRIC CELL MODEL;

NUCLEAR REACTORS;

EID: 0035342665     PISSN: 03064549     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0306-4549(00)00081-5     Document Type: Article

References (39)

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. Biesheuvel A., Gorissen W.C.M. Void fraction disturbances in a uniform bubble fluid. Int. J. Multiphase Flow. 19:1990;211-231.
5. Brauner N., Maron M.D. Stability analysis of stratified liquid-liquid flow. Int. J. Multiphase Flow. 18:1992;103-121.
6. Burden L.R., Faires D.J. Análisis Numérico. 1985;Grupo Editorial Iberoamérica, México.
7. Currie I.G. Fundamental mechanics of fluids. 1974;McGraw-Hill, New York.
8. 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.
9. 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.
10. 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.
11. Espinosa-Paredes G., Soria A. Method of finite difference solutions to the transient bubbly air-water flows. Int. J. Num. Method. Fluids. 26:1998;1155-1180.
12. Gray W.G. A derivation of the equations for multiphase transport. Chem. Eng. Sci. 30:1975;229-233.
13. 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.
14. Geurst J.A. Virtual mass in two-phase bubbly flow. Physica. 129A:1985;233-261.
15. Harmathy T.Z. Velocity of large drops and bubbles in media of infinite of restricted extent. A.I.Ch.E. J. 6:1960;281-288.
16. Hassanizadeh M., Gray W.G. General conservation equations for multiphase system. 1 Averaging procedure. Adv. Water Resource. 2:1979;131-144.
17. Howes F.A., Whitaker S. The spatial averaging theorem revised. Chem. Eng. Sci. 40:1984;1387-1392.
18. Ishii M. Thermo-fluid dynamic theory of two-phase flow. 1975;Eyrolles, Paris.
19. Ishii M., Mishima K. Two-fluid model and hydrodynamic constitutive relations. Nuclear Eng. and Design. 82:1984;107-126.
20. Jeffrey D.J. Conduction through a random suspension of spheres. Proc. R. Soc. Lond. A335. 1973;355-367.
21. Lahey R.T., Drew D.A. The three-dimensional time and volume averaged conservations equations of two-phase flow. Adv. Nuclear Sci. Technol. 20:1989;1-69.
22. Lahey R.T. Void wave propagation phenomena in two-phase flow. A.I.Ch.E. J. 37:1991;123-135.
23. 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.
24. 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.
25. Pauchon C., Smeraka P. Momentum interactions in dispersed flow. an averaging and a variacional approach Int. J. Multiphase Flow. 18:1992;65-87.
26. Ramshaw J.D., Trapp J.A. Characteristic, stability, and short-wavelength phenomena in two-phase flow equations system. Nucl. Sci. Eng. 66:1978;93-102.
27. Slattery J.C. Flow of viscoelastic fluids through porous media. A.I.Ch.E. J. 13:1967;1066-1071.
28. Soria A., de Lasa H.I. Averaged transport equations for multiphase systems with interfacial effects. Chem. Eng. Sci. 46:1991;2093-2111.
29. Soria A., de Lasa H.I. Averaged topological equations for dispersed two-phase flow. Int. J. Multiphase flow. 18:1992;943-964.
30. 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.
31. van Wijngaarden L. Hydrodynamic interaction between gas bubbles in liquid. J. Fluid Mech. 77:1976;27-44.
32. Voinov D.V. On the force acting on a sphere in a non uniform flow of ideal incompressible fluid. Zh. Prikl. Mekh. Tekh. 4:1973;182-184.
33. Wallis G.B. One-dimensional Two-phase Flow. 1969;McGraw-Hill, USA.
34. Wallis G.B. Inertial coupling in two-phase flow: macroscopic properties of suspensions in an inviscid fluid. Hewitt G.F., Delhaye J.M., Zuber N. Multiphase Science and Technology Vol. 5. 1989;239-361 Hemisphere Publishing Corporation, New York.
35. Whitaker S. Diffusion and dispersion in porous media. A.I.Ch.E. J. 13:1967;420-427.
36. Whitaker S. Flow in porous media. a theoretical derivation of Darcy's Law Transport in Porous Media. 1:1986;3-25.
37. Whitham G.B. Linear and nonlinear waves. 1974;John Wiley & Sons, USA.
38. 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.
39. Zuber N. On the disperse two-phase flow in the laminar flow regime. Chem. Eng. Sci. 49:1964;897-917.