The analysis of void wave propagation in adiabatic monodispersed bubbly two-phase flows using an ensemble-averaged two-fluid model

International Journal of Multiphase Flow

Volumn 24, Issue 7, 1999, Pages 1205-1244

  Park, J W ^a   Drew, D A ^b   Lahey Jr , R T ^b  

^a Korea Atomic Energy Research Institute   (South Korea)

^b RENSSELAER POLYTECHNIC INSTITUTE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BUBBLES (IN FLUIDS); DISPERSIONS; MATHEMATICAL MODELS; PHASE INTERFACES; PRESSURE EFFECTS; STRESS ANALYSIS; WAVE PROPAGATION;

ENSEMBLE-AVERAGED TWO-FLUID MODEL;

TWO PHASE FLOW;

MODEL; TWO-PHASE FLOW; VOID FRACTION; WAVE PROPAGATION;

BUBBLE; MODEL; TWO PHASE FLOW; WAVE PROPAGATION;

EID: 0345683552     PISSN: 03019322     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0301-9322(98)00020-2     Document Type: Article

References (38)

1. Alajbegovic, A., 1994. Phase distribution and turbulence structure for solid/fluid upflows in a pipe. Ph.D. thesis, Rensselaer Polytechnic Institute, Troy, New York.
2. Arnold, G.S., 1988. Entropy and objectivity as constraints upon constitutive equations for two-fluid modeling of multiphase flow. Ph.D. thesis. Rensselaer Polytechnic Institute, Troy, New York.
3. Batchelor G.K. Statistical hydrodynamics of dispersed systems. Journal of Fluid Mechanics. 49:1970;489-507.
4. Biesheuvel, A., van Wijngaarden, L., 1990. Two-phase flow equations for a dilute dispersion of gas bubbles in liquid. Journal of Fluid Mechanics 148.
5. Biesheuvel A., Gorrisen W.C.M. Void fraction disturbances in a uniform bubbly fluid. International Journal of Multiphase Flow. 16:(2):1990;211-231.
6. Bouré, J.A., 1982. Kinematic models, void-fraction waves and other propagation phenomena in two-phase flows. Proceedings of the Ninth U.S. Congress of Applied Mechanics. Ithaca, New York.
7. Bouré, J.A., 1988. Properties of kinematic void waves in two-phase pipe flows, consequences on the modeling-strategy. European Two-Phase Flow Group Meeting, Brussels, Belgium.
8. Buyevich, Y.A., 1971. The stress system in a suspension of force-free particles. Journal of Fluid Mechanics 42, 545-570.
9. Delhaye, J.M., 1976. Instantaneous space-averaged equations. In: Kakac, Veziroglu (Ed.). Two-phase Flows and Heat Transfer, Vol. 1. Hemisphere, New York, pp. 81-90.
10. Drew D.A. Mathematical modeling of two-phase flow. Annual Review of Fluids Mechanics. 15:1983;261-291.
11. Drew D.A. Effect of particle velocity fluctuations in particle fluid flows. Physica. 179A:1991;69-80.
12. Drew D.A., Lahey R.T. Jr. The virtual mass and lift force on a sphere in rotating and straining inviscid flow. International Journal of Multiphase Flow. 13:1987;113-121.
13. Drew D.A., Lahey R.T. Jr. Application of general constitutive principles to the derivation of multidimensional two-phase flow equations. International Journal of Multiphase Flow. 5:1989;243-263.
14. Drew D.A., Lahey R.T. Jr. Some supplemental analysis concerning the virtual mass and lift force on a sphere in rotating and straining inviscid flow. International Journal of Multiphase Flow. 16:1989;1127-1130.
15. Geurst A. Variational principles and two-fluid hydrodynamics of bubbly liquid/gas mixtures. Physica. 135A:1986;455-486.
16. Haley T., Drew D.A., Lahey R.T. Jr. An analysis of the eigenvalues of bubbly two-phase flows. Journal of Chemical Engineering Communication. 106:1991;93-117.
17. Harmathy, T.Z., 1960. Velocity of large drops and bubbles in media of infinite or restricted extent. AIChE Journal 6 (2).
18. Ishii, M., 1975. Thermo-Fluid Dynamic Theory of Two-Phase Flow. Eyrolles, Paris.
19. Ishii, M., Mishima, K., 1984. Two-fluid model and hydrodynamic constitutive relations. Nuclear Engineering and Design 82, 107-126.
20. Ishii, M., Zuber, N., 1979. Relative motion and interfacial drag coefficient in dispersed two-phase flow of bubbles, drops and particles. Paper 56a, AIChE 71st Annual Meeting. Miami, FL.
21. Kytömaa H.K., Brennen C.E. Small amplitude kinematic wave propagation in two component media. International Journal of Multiphase Flow. 17:1991;13-26.
22. Lahey R.T. Jr. Void wave propagation phenomena in two-phase flow (Kern Award Lecture). AIChE Journal. 37:1991;123-135.
23. Lahey R.T. Jr, Drew D.A. The three-dimensional time and volume averaged conservation equations of two-phase flows. Advances in Nuclear Science and Technology. 20:1989.
24. Lahey, R.T. Jr, Drew, D.A., 1990. The current state-of-the-art in the modeling of vapor/liquid two-phase flows. ASME 90-WA/HT-13.
25. Lance M., Bataille J. Turbulence in the liquid phase of a uniform bubbly air-water flow. Journal of Fluid Mechanics. 222:1991;95-118.
26. Nigmatulin R.I. Spatial averaging in the mechanics of heterogeneous and dispersed systems. International Journal of Multiphase Flow. 5:1979;353-385.
27. Park J-W., Choi H. An assessment of average thermal-hydraulic governing equations used in PWR/PHWR system design and safety analysis. Proceedings of the Eighth International Topical Meeting on Nuclear Reactor Thermal-Hydraulics. 1:1997;109-116.
28. Park J-W., Drew D.A., Lahey R.T. Jr. The measurement of void waves in bubbly two-phase flows. Nuclear Engineering and Design. 149:1994;37-52.
29. Park J-W., Drew D.A., Lahey R.T. Jr. Void wave dispersion in bubbly flows. Nuclear Engineering and Design. 121:1990;1-10.
30. Park, J-W., Drew, D.A., Lahey, R.T. Jr, 1990b. An analysis of nonlinear void waves. In: Proceedings of the 9th International Heat Transfer Conference. Jerusalem, Israel.
31. Pauchon C., Smereka P. Momentum interactions in dispersed flow: an averaging and a variational approach. International Journal of Multiphase Flow. 18:(1):1992;65-87.
32. Pauchon C., Banerjee S. Interphase momentum interaction effects in the averaged multifield model. International Journal of Multiphase Flow. 12:(4):1986;559-573.
33. Stuhmiller, J.H., 1977. The influence of interfacial pressure forces on the character of two-phase flow model equations. International Journal of Multiphase Flow 3, 551-560.
34. Taylor, G.I., 1928. The forces on a body in a curved or converging stream or fluid. In: Proceedings of the Royal Society, A120, pp. 260-283
35. Vea H.W., Lahey R.T. Jr. An exact analytical solution of pool swell dynamics during depressurization by method of characteristics. Nuclear Engineering and Design. 45:1978;101-116.
36. Voinov O.V. Force acting on a sphere in a homogeneous flow of an ideal incompressible fluid. Journal of Applied Mechanics and Technology Physics. 14:1973;592-594.
37. Wallis G.B. The averaged Bernoulli equation and macroscopic equations of motion for the potential motion of a two-phase dispersion. International Journal of Multiphase Flow. 17:1991;683-695.
38. Whitham, G.B., 1974. Linear and Nonlinear Waves. Wiley, Chichester, UK.