Asymptotic analysis of vortex flows in suspensions

International Journal of Multiphase Flow

Volumn 24, Issue 3, 1998, Pages 453-478

  Prud'Homme, R ^a   Gottesdiener, L ^a   Dodemand, E ^b   Kuentzmann, P ^c  

^a SORBONNE UNIVERSITÉ   (France)

^b 75102 ^*  (France)

^c ONERA   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; MULTIPHASE FLOW; SUSPENSIONS (FLUIDS); TWO PHASE FLOW; VELOCITY;

ASYMPTOTIC ANALYSIS; MULTIPLE SCALE METHOD;

VORTEX FLOW;

SUSPENSION; TWO-PHASE FLOW; VORTEX FLOW;

MULTIPHASE FLOW; SUSPENSION; VORTICES;

EID: 0032051691     PISSN: 03019322     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0301-9322(97)00053-0     Document Type: Article

References (26)

1. Burgess, J. M. (1948) A mathematical model illustrating the theory of turbulence. Adv. Appl. Mech. 1, 171.
2. Gañán-Calvo A. M., Lasheras J. C. The dynamics and mixing of small spherical particles in a plane, free shear layer. Phys. Fluids A. 3:1991;1207-1217.
3. Clift, R., Grace, J. R. and Weber, M. E. (1978) Bubbles, Drops and Particles. Academic Press, New York.
4. Delery, J., Barberis, D. and Molton, P. (1997) Physique du décollement tridimentionnel et formation de tourbillons. Colloque ONERA. Centre des Congrès de la Villette, Paris.
5. Dodemand, E. (1994) Comportement d'une suspension en présence d'ondes acoustiques et de tourbillons. Thèse de doctorat de l'Université de Valenciennes.
6. Dodemand E., Prud'homme R., Kuentzmann P. Influence of unsteady forces acting on a particle in a suspension. Application to the sound propagation. Int. J. Multiphase Flow. 21:1995;27-51.
7. Dodemand, E. and Prud'homme, R. (1991) Comportement d'une suspension en présence d'un tourbillon irrotationnel 10ème Congrès Français de Mécanique Université de Jussieu - Paris.
8. Fichot, F., Harstad, K. and Bellan, J. (1993) Unsteady evaporation and combustion of a drop cluster inside a vortex. 31st Aerospace Sciences Meeting & Exhibition, Reno, NV AIAA 93-0695.
9. Fortier, A. (1967) Mécanique des suspensions. Masson & Cie.
10. Germain, P. (1962) Mécanique des milieux continus. Masson.
11. Germain, P. (1986) Mécanique - Tome 1 Ecole Polytechnique Ellipses.
12. Guyon, E., Hulin, J. P. and Petit, L. (1991) Hydrodynamique physique. Savoirs actuels Inter Editions/Editions du CNRS.
13. Isaacson L. V. K. A deterministic prediction of ordered structures in an internal free shear layer. J. Non-Equilib. Thermodyn. 18:1993;256-270.
14. Kuentzmann, P. (1973) Aérothermochimie des suspensions, Mémoires de Sciences Physiques. Fascicule 72, Gauthier-Villars.
15. Lasheras J. C., Tio K. K. Dynamics of a small spherical particle in steady two-dimensional vortex flows. Appl. Mech. Rev. 47:1994;S61-S69.
16. Marble, F. E. (1985) Growth of a diffusion flame in the field of a vortex, Recent Advances in Aerospace Sciences, ed. C. Casci, pp. 395-413.
17. Marble, F. E. (1988) Mixing, diffusion and chemical reaction of liquids in a vortex field, Colloque International sur la Chimie des liquides, Paris.
18. Marcu B., Meiburg E., Newton P. K. Dynamics of heavy particles in a Burger vortex. Phys. Fluids. 7:1995;400-410.
19. Maxey M. R., Riley J. J. Equation of motion for a small rigid sphere in a nonuniform flow. Phys. Fluids. 26:1983;883-889.
20. Nigmatulin, R. I. (1991) Dynamics of Multiphase Media. Hemisphere, Washington, DC.
21. Rangel, R. H. and Continillo, G. (1992) Theory of vaporization and ignition of a droplet cloud in the field of a vortex. The 24th International Symposium on Combustion. University of Sydney, Australia.
22. Soo, S. L. (1990) Multiphase Fluid Dynamics, Science Press & Gower Technical.
23. Stuart J. T. On finite amplitude oscillations in laminar mixing layers. J. Fluid Mech. 29:1967;417-444.
24. Tio, K. K. and Lasheras, J. C. (1993) The dynamics of a small spherical particle in steady, two-dimensional vortex flows AIAA-93-1874 University of California, San Diego La Jolla, California AIAA/SAE/ASME/ASEE 29th Joint Propulsion, Conference and Exhibit, Monterey, CA.
25. Tio K. K., Liñan A., Lasheras J. C., Gañán-Calvo A. M. On the dynamics of buoyant and heavy particles in a periodic Stuart vortex flow. J. Fluid Mech. 254:1993;671-699.
26. Tio K. K., Gañán-Calvo A. M., Lasheras J. C. The dynamics of small, heavy, rigid spherical particles in a periodic Stuart vortex flow. Phys. Fluids A. 5:1993;1679-1692.