Mixture pressure and stress in disperse two-phase flow

International Journal of Multiphase Flow

Volumn 25, Issue 6-7, 1999, Pages 1395-1429

  Marchioro, M ^a   Tanksley, M ^a   Prosperetti, A ^a  

^a Johns Hopkins University   (United States)

Author keywords

Averaged equations; Disperse flow; Suspension

Indexed keywords

EQUATIONS OF MOTION; GRAVITATIONAL EFFECTS; INCOMPRESSIBLE FLOW; MATHEMATICAL TRANSFORMATIONS; PARTICLES (PARTICULATE MATTER); PRESSURE; RESIDUAL STRESSES; RIGIDITY; SPHERES;

AVERAGED EQUATIONS; MIXTURE PRESSURE;

TWO PHASE FLOW;

MIXTURE; PRESSURE; STRESS; SUSPENSION; TWO-PHASE FLOW;

TWO PHASE FLOW;

EID: 0033372671     PISSN: 03019322     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0301-9322(99)00061-0     Document Type: Article

References (25)

1. Anderson T.B., Jackson R. A fluid mechanical description of fluidized beds. I and EC Fundamentals. 6:1967;527-539.
2. Arnold G.S., Drew D.A., Lahey R.T. Jr. Derivation of constitutive equations for interfacial force and Reynolds stress for a suspension of spheres using ensemble cell averaging. Chem. Eng. Comm. 86:1989;43-54.
3. Batchelor G.K. An Introduction to Fluid Mechanics. 1967;Cambridge University Press, Cambridge.
4. Batchelor G.K. Sedimentation in a dilute dispersion of spheres. J. Fluid Mech. 52:1972;245-268.
5. 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.
6. Bouré J. On the form of the pressure terms in the momentum and energy equations for two-phase flow models. Int. J. Multiphase Flow. 5:1979;159-164.
7. Caflisch R.E., Miksis M.J., Papanicolaou G., Ting L. Effective equations for wave propagation in bubbly liquids. J. Fluid Mech. 153:1985;259-273.
8. Drew D.A., Lahey R.T. Jr. Analytical modeling of multiphase flow. Roco M.C. Particulate Two-Phase Flow. 1993;509-566 Butterworth-Heinemann, Boston.
9. Drew D.A. Mathematical modeling of two-phase flow. Ann. Rev. Fluid Mech. 15:1983;261-291.
10. Foldy L.L. The multiple scattering of waves. Phys. Rev. 67:1945;107-119.
11. Givler R.C. An interpretation of the solid phase pressure in slow fluid-particle flows. Int. J. Multiphase Flow. 13:1993;717-722.
12. Hinch E.J. An averaged-equation approach to particle interactions in fluid suspension. J. Fluid Mech. 83:1977;695-720.
13. Hwang G.J., Shen H.H. Modeling the solid phase stress in a fluid-solid mixture. Int. J. Multiphase Flow. 15:1989;257-268.
14. Ishii M. Thermo-Fluid Dynamic Theory of Two-Phase Flow. 1975;Eyrolles, Paris.
15. Joseph D.D., Lundgren T.S. Ensemble averaged and mixture theory equations for incompressible fluid-particle suspensions. Int. J. Multiphase Flow. 16:1990;35-42.
16. Lamb H. Hydrodynamics. 6th ed :1932;Cambridge University Press, Cambridge.
17. Marchioro, M., Tanksley, M., Prosperetti, A., 1999. Flow of spatially non-uniform suspensions. Part I: Phenomenology. Int. J. Multiphase Flow, in press.
18. Marchioro, M., Tanksley, M., Prosperetti, A., 1999. Flow of spatially non-uniform suspensions. Part II: Systematic derivations of close relations. Int. J. Multiphase Flow, submitted.
19. Park J.W., Drew D.A., Lahey R.T. Jr. The analysis of void wave propagation in adiabatic monodispersed bubbly two-phase flows using an ensemble-averaged two-fluid model. Int. J. Multiphase Flow. 24:1998;1205-1244.
20. Prosperetti A. Ensemble averaging techniques for disperse flows. Drew D., Joseph D.D., Passman S.L. Particulate Flows: Processing and Rheology. 1998;99-136 Springer, Berlin.
21. Prosperetti A., Jones A.V. Pressure forces in disperse two-phase flows. Int. J. Multiphase Flow. 10:1984;425-440.
22. Prosperetti A., Zhang D.Z. Disperse phase stress in two-phase flow. Chem. Eng. Comm. 141/142:1996;387-398.
23. Zhang D.Z., Prosperetti A. Averaged equations for inviscid disperse two-phase flow. J. Fluid Mech. 267:1994;185-219.
24. Zhang D.Z., Prosperetti A. Ensemble phase-averaged equations for bubbly flows. Phys. Fluids. 6:1994;2956-2970.
25. Zhang D.Z., Prosperetti A. Momentum and energy equations for disperse two-phase flows and their closure for dilute suspensions. Int. J. Multiphase Flow. 23:1997;425-453.