Three-dimensional numerical simulation of Marangoni instabilities in non-cylindrical liquid bridges in microgravity

International Journal of Heat and Mass Transfer

Volumn 44, Issue 10, 2001, Pages 1983-2003

  Lappa, M ^a   Savino, R ^a   Monti, R ^a  

^a UNIVERSITY OF NAPLES FEDERICO II   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ASPECT RATIO; COMPUTER SIMULATION; CURVE FITTING; FINITE DIFFERENCE METHOD; GRAVITATIONAL EFFECTS; MATHEMATICAL TRANSFORMATIONS; PRANDTL NUMBER;

MARANGONI CONVECTION; MICROGRAVITY; NON-CYLINDRICAL LIQUID BRIDGES;

HEAT CONVECTION;

CONVECTION; LIQUID BRIDGE; MARANGONI EFFECT; MICROGRAVITY;

EID: 0034744539     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0017-9310(00)00243-X     Document Type: Article

References (19)

1. A. Rybicki, J.M. Florian, Thermocapillary effects in liquid bridges. I. Thermocapillary convection, Phys. Fluids 30 (1987) 1956.
2. R. Rupp, G. Muller, G. Neumann, Three-dimensional time-dependent modelling of the Marangoni convection in zone melting configurations for GaAs, J. Cryst. Growth 97 (1989) 34.
3. M. Levenstam, G. Amberg, Hydrodynamical instabilities of thermocapillary flow in a half-zone, J. Fluid Mech. 297 (1995) 357.
4. M. Lappa, R. Savino, Parallel solution of three-dimensional Marangoni flow in liquid bridges, Int. J. Numer. Meth. Fluids 31 (1999) 911.
5. H.C. Kuhlmann, Some scaling aspects of thermocapillary flows, Microgravity Quart. 5 (1995) 29.
6. H.C. Kuhlmann, H.J. Rath, Hydrodynamic instabilities in cylindrical thermocapillary liquid bridges, J. Fluid Mech. 247 (1993) 247.
7. M. Wanschura, V. Shevtsova, H.C. Kuhlmann, H.J. Rath, Convective instability mechanism in thermocapillary liquid bridges, Phys. Fluids 5 (1995) 912.
8. V. Shevtsova, H.C. Kuhlmann, H.J. Rath, Thermocapillary convection in liquid bridges with a deformed surface, in: 46th Congress of the International Astronautical Federation, Oslo, Norway, 2-6 October 1995.
9. V. Shevtsova, J.C. Legros, Influence of the free surface shape on stability of liquid bridges, in: Joint 10th European and 6th Russian Symposium on Physical Sciences in Microgravity, St. Petersburg, Russia, 15-21 June 1997.
10. Q.S. Chen, W.R. Hu, Influence of liquid bridge volume on instability of floating half zone convection, Int. J. Heat Mass Transfer 41 (6-7) (1998) 825.
11. C.A.J. Fletcher, Computational Techniques for Fluid-Dynamics, Springer, Berlin, 1991.
12. B. Roux (Ed.), Numerical simulation of oscillatory convection in low-Pr fluids, A GAMM Workshop. Notes on Numerical Fluid Mechanics, Vieweg, 1990.
13. W.R. Hu, Z.M. Tang, J.Z. Shu, R. Zhou, Influence of liquid bridge volume on the critical Marangoni number in thermocapillary convection of half floating zone, Microgravity Quart. 5 (1995) 67.
14. C.H. Chun, W. West, Experiments on the transition from the steady to the oscillatory Marangoni convection of a floating zone under reduced gravity effect, Acta Astronautica 6 (1979) 1073.
15. J.J. Xu, S.H. Davis, Convective thermocapillary instabilities in liquid bridges, Phys. Fluids 27 (1984) 1102.
16. Y. Tao, S. Kou, Thermocapillary convection in a low Pr material under simulated reduced gravity conditions, in: Third Microgravity Fluid Physics Conference 1996, NASA cp 3338, 301.
17. R. Monti, R. Savino, Effect of unsteady thermal boundary conditions on Marangoni flow in liquid bridges, Microgravity Quart. 4 (1994) 163.
18. S. Frank, D. Schwabe, Temporal and spatial elements of thermocapillary convection in floating zones, Exp. Fluids 23 (1998) 234.
19. M. Lappa, R. Savino, R. Monti, Three-dimensional numerical simulation of Marangoni instabilities in liquid bridges: influence of geometrical aspect ratio, Int. J. Numer. Meth. Fluids (to appear).