Mixed buoyant-Marangoni convection due to dissolution of a droplet in a liquid-liquid system with miscibility gap

European Journal of Mechanics, B/Fluids

Volumn 23, Issue 5, 2004, Pages 781-794

  Lappa, Marcello ^a,b   Piccolo, Chiara ^a   Carotenuto, Luigi ^a  

^a MARS srl   (Italy)

^b NONE   (Italy)

Author keywords

Buoyancy and Marangoni convection; Dissolution process; Miscibility gap

Indexed keywords

BUOYANCY; DISSOLUTION; FLUID MECHANICS; GRAVITATION; INTERFACES (MATERIALS); MATHEMATICAL MODELS; SEDIMENTATION; WETTING;

BUOYANCY AND MARANGONI CONVECTION; DISSOLUTION PROCESSES; MISCIBILITY GAP;

SOLUBILITY;

EID: 3142677294     PISSN: 09977546     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechflu.2004.02.001     Document Type: Article

References (35)

1. Decomposition, phase separation, solidification of immiscible liquid alloys. Ratke L. Immiscible Liquid Metals and Organics, Proceedings of an International Workshop Organized by the ESA Expert Working Group, "Immiscible alloys" held in the Physikzentrum, Bad Honnef, Germany. 1992;3-34.
2. Prinz B., Romero A. New casting process for hypermonotectic alloys. Ratke L. Immiscible Liquid Metals and Organics, Proceedings of an International Workshop Organized by the ESA Expert Working Group, "Immiscible alloys" held in the Physikzentrum, Bad Honnef, Germany. 1992;281-289.
3. Monti R., Savino R., Lappa M., Tempesta S. Behaviour of drops in contact with liquid surfaces at non wetting conditions. Phys. Fluids. 10:(11):1998;2786-2796.
4. Monti R., Savino R., Paterna D., Lappa M. New features of drops dynamics under Marangoni effect. Recent Research Developments in Fluid Dynamics, vol. 3, Transworld Research Network, Trivandrum, India. 2000;15-32.
5. Dell'Aversana P., Lappa M., Neitzel G.P. Elasto-hydrodynamic lubrication of ball bearings and drops. 2002 APS (Americal Physical Society) Division of Fluid Dynamics 55th Annual Meeting (DFD02), Dallas, TX, November 24-26. 2002;. Log 10197.
6. Savino R., Paterna D., Lappa M. Marangoni flotation of liquid droplets. J. Fluid Mech. 479:2003;307-326.
7. Young N.O., Goldstein J.S., Block M.J. The motion of bubbles in a vertical temperature gradient. J. Fluid Mech. 6:1959;350-360.
8. Subramanian R.S., Balasubramaniam R. The Motion of Bubbles and Drops in Reduced Gravity. 2001;Cambridge University Press, Cambridge, UK.
9. Subramanian R.S., Zhang L., Balasubramaniam R. Mass transport from a drop executing thermocapillary motion. Microgravity Sci. Tech. XII:(3/4):2001;107- 115.
10. Bassano E. Numerical simulation of thermo-solutal-capillary migration of a dissolving drop in a cavity. Int. J. Numer. Methods Fluids. 41:2003;765-788.
11. Hirt C.W., Nichols B.D. Volume of fluid (VOF) method for the dynamics of free boundaries. J. Comput. Phys. 39:1981;201-225.
12. Osher S., Sethian J.A. Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys. 79:1988;12-49.
13. Gueyffier D., Li J., Nadim A., Scardovelli S., Zaleski S. Volume of fluid interface tracking with smoothed surface stress methods for three-dimensional flows. J. Comput. Phys. 152:1999;423-456.
14. The Physical-Chemical Constants of Binary Systems. 1959;Interscience, New York.
15. Perez de Ortiz E.S., Sawistowski H. Interfacial instability of binary liquid-liquid systems, I. Stability analysis. J. Chem. Engrg. Sci. 28:1973;2051-2061.
16. Warren C., Webb W.W. Interfacial tension of near-critical cyclohexane-methanol mixtures. J. Chem. Phys. 50:(9):1969;3694-3700.
17. Lappa M. Strategies for parallelizing the three-dimensional Navier-Stokes equations on the Cray T3E. Science and Supercomputing at CINECA. 11:1997;326-340.
18. Lappa M., Savino R. Parallel solution of three-dimensional Marangoni flow in liquid bridges. Int. J. Numer. Methods Fluids. 31:1999;911-925.
19. Lappa M. Growth and mutual interference of protein seeds under reduced gravity conditions. Phys. Fluids. 15:(4):2003;1046-1057.
20. Agble D., Mendes Tatsis M.A. The effect of surfactants on interfacial mass transfer in binary liquid-liquid systems. Int. J. Heat Mass Transfer. 43:2000;1025-1034.
21. Chieger N., Reitz R.D. Regimes of jet breakup and breakup mechanisms (physical aspects). Kuo K.K. Recent Advances in Spray Combustion: Spray Atomization and Drop Burning Phenomena, vol. 1. 1996;109-135 AIAA, Reston.
22. Lin S.P. Regimes of jet breakup and breakup mechanisms (mathematical aspects). Kuo K.K. Recent Advances in Spray Combustion: Spray Atomization and Drop Burning Phenomena, vol. 1. 1996;137-160 AIAA, Reston.
23. Lin S.P., Reitz R.D. Drop and spray formation from a liquid jet. Annu. Rev. Fluid Mech. 30:1998;85-105. Annual Rev. Inc. Palo Alto.
24. Leib S.J., Goldstein M.E. The generation of capillary instability on liquid jet. J. Fluid Mech. 168:1986;479-500.
25. Leib S.J., Goldstein M.E. Convective and absolute instability of a viscous liquid jet. Phys. Fluids. 29:1986;952-954.
26. Lin S.P., Lian Z.W. Absolute and convective instability of a viscous liquid jet surrounded by a viscous gas in a vertical pipe. Phys. Fluids A. 5:1993;771-773.
27. Lin S.P., Lian Z.W. Absolute instability of a liquid jet in a gas. Phys. Fluids A. 1:1989;490-493.
28. Zhou Z.W., Lin S.P. Effects of compressibility on the atomization of liquid jets. J. Propulsion and Power. 8:1992;736-740.
29. Wu P.K., Miranda R.F. Effect of initial flow conditions on primary breakup of nonturbulent and turbulent round liquid jets. Atom. Sprays. 5:1995;175-196.
30. Konkachbaev A., Morley N.B. Stability and contraction of a rectangular liquid metal jet in vacuum environment. Fusion Engrg. Design. 51-52:2000;1109-1114.
31. Soderberg L.D., Alfredson P.H. Experimental and theoretical stability investigations of plane liquid jets. J. Mech. B Fluids. 17:(5):1998;689-737.
32. Wu P.K., Faeth G.M. Onset and end of drop formation along the surface of turbulent liquid jets in still gases. Phys. Fluid. 7:(11):1995;2915-2917.
33. Cetegen B.M. Behaviour of naturally oscillating and periodically forced axisymmetric buoyant plumes of helium and helium-air mixtures. Phys. Fluids. 9:(12):1997;3742-3753.
34. Cetegen B.M., Kasper K.D. Experiments on the oscillatory behaviour of buoyant plumes of helium and helium-air. Phys. Fluids. 8:(11):1996;2974-2984.
35. Cetegen B.M., Ahmed T.A. Experiments on the periodic instability of buoyant plumes and pool fires. Combustion and Flame. 93:1993;157-184.