Three-dimensional Rayleigh-Bénard instability in a supercritical fluid

Comptes Rendus - Mecanique

Volumn 332, Issue 3, 2004, Pages 209-216

  Accary, Gilbert ^a   Raspo, Isabelle ^a   Bontoux, Patrick ^a   Zappoli, Bernard ^b  

^a AIX MARSEILLE UNIVERSITÉ   (France)

^b CNES   (France)

Author keywords

3D convective instability; Configuration de Rayleigh B nard; Effet piston; Fluid mechanics; Fluide supercritique; Instabilit convective 3D; M canique des fluides; Piston effect; Rayleigh B nard configuration; Supercritical fluid

Indexed keywords

CONVECTION; FLOW CHARACTERISTICS; FLUID MECHANICS; SUPERCRITICAL FLUID;

ARTICLE; FLOW KINETICS; METHODOLOGY; SUPERCRITICAL FLUID; TEMPERATURE; THERMODYNAMICS;

EID: 1542617916     PISSN: 16310721     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crme.2004.01.009     Document Type: Article

References (19)

1. Nitsche K., Straub J. The critical hump of Cv under microgravity, results from D-Spacelab experiment 'Wärmekapazität'. Proceeding of the 6th European Symp. on Material Sci. under Microgravity Conditions. 1987;109. ESA SP-256.
2. Boukari H., Schaumeyer J.-N., Briggs M.-E., Gammon R.-W. Critical speeding up in pure fluids. Phys. Rev. A. 41:1990;2260.
3. Onuki A., Hao H., Ferrel R.-A. Fast adiabatic equilibration in a single-component fluid near the liquid-vapor critical point. Phys. Rev. A. 41:1990;2256.
4. Zappoli B., Bailly D., Garrabos Y., Le Neindre B., Guenoun P., Beysens D. Anomalous heat transport by the piston effect in supercritical fluids under zero gravity. Phys. Rev. A. 41:1990;2224.
5. Assenheimer M., Steinberg V. Rayleigh-Bénard convection near gas-liquid critical point. Phys. Rev. Lett. 70:1993;3888.
6. Meyer H., Kogan A.-B. Onset of convection in a very compressible fluid: the transient toward steady state. Phys. Rev. E. 63:2002;056310.
7. Gitterman M., Steinberg V.-A. Criteria for the commencement of convection in a liquid close to the critical point. High Temp. (USSR). 8:(4):1970;754.
8. Carlès P., Ugurtas B. The onset of free convection near the liquid-vapour critical point. Part I: Stationary initial state. Physica D. 126:1999;69.
9. Zappoli B., Amiroudine S., Carlès P., Ouazzani J. Thermoacoustic and buoyancy-driven transport in a square side-heated cavity filled with a near-critical fluid. J. Fluid Mech. 316:1996;53.
10. Raspo I., Gilly B., Amiroudine S., Bontoux P., Zappoli B. Simulation of convective instabilities inside a supercritical fluid layer under Rayleigh-Bénard configuration. J. Chem. Phys. 96:1999;1059.
11. Amiroudine S., Bontoux P., Larroudé P., Gilly B., Zappoli B. Direct numerical simulation of instabilities in a two-dimensional near-critical fluid layer heated from below. J. Fluid Mech. 442:2001;119.
12. Furukawa A., Onuki A. Convective heat transport in compressible fluids. Phys. Rev. E. 66:2002;016302.
13. Patankar S.-V. Numerical Heat Transfer and Fluid Flow. 1980;Hemisphere, New York.
14. S. Paolucci, On the filtering of sound from the Navier-Stokes equations, Rep. SAND 82-8257, December, Sandia National Lab., USA, 1982, p. 52.
15. Li Y., Rudman M. Assessment of higher-order upwind schemes incorporating FCT for convection-dominated problems. Numer. Heat Transfer B. 27:1995;1.
16. Jang D.-S., Jetli R., Acharya S. Comparison of the Piso, Simpler, and Simplec algorithms fort he treatment of the pressure-velocity coupling in steady flow problems. Numer. Heat Transfer. 10:1986;209.
17. Barrett R., Berry M., Chan T.-F., Demmel J., Donato J.-M., Dongarra J., Eijkhout V., Pozo R., Romine C., Van der Vorst H. Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods. 1994;SIAM, Philadelphia.
18. Becker R., Braak M. Solution of a stationary benchmark problem for natural convection with large temperature difference. Int. J. Therm. Sci. 41:2002;428.
19. Chandrasekar S. Hydrodynamic and Hydromagnetic Stability. 1961;Clarendon Press, Oxford.