Bénard-Marangoni convection in a differentially heated cylindrical cavity

Physics of Fluids

Volumn 17, Issue 5, 2005, Pages 1-12

  Hoyas, S ^a   Mancho, A M ^b   Herrero, H ^a   Garnier, N ^c,d   Chiffaudel, A ^d  

^a UNIVERSITY OF CASTILLA LA MANCHA   (Spain)

^b INSTITUTO DE MATEMÁTICAS Y FÍSICA FUNDAMENTAL   (Spain)

^c UNIVERSITÉ DE LYON   (France)

^d SERVICE DE PHYSIQUE DE L ETAT CONDENSÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ASPECT RATIO; BIFURCATION (MATHEMATICS); FLOW MEASUREMENT; HEAT CONVECTION; PARAMETER ESTIMATION; PROBLEM SOLVING; THERMAL EFFECTS; WAVE EFFECTS;

BÉNARD-MARANGONI CONVECTION; CYLINDRICAL CAVITY; HYDROTHEMAL WAVES; WAVENUMBERS;

CYLINDERS (SHAPES);

CONVECTION;

EID: 20444375497     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1876892     Document Type: Article

References (22)

1. H. Bénard, "Les tourbillons cellulaires dans une nappe liquide," Rev. Gen. Sci. Pures Appl. RGSAAF 0370-5196 11, 1261 (1900).
2. M.K. Smith and S.H. Davis, "Instabilities of dynamic thermocapillary layers. 1. Convective instabilities," J. Fluid Mech. JFLSA7 0022-1120 132, 119 (1983).
3. A.M. Mancho, H. Herrero, and J. Burguete, "Primary instabilities in convective cells due to non-uniform heating," Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.56.2916 56, 2916 (1997).
4. H. Herrero and A.M. Mancho, "Influence of aspect ratio in convection due to non-uniform heating," Phys. Rev. EPLEEE8 1063-651X 10.1103/PhysRevE.57.7336 57, 7336 (1998).
5. R.J. Riley and G.P. Neitzel, "Instability of thermocapillary-buoyancy convection in shallow layers. Part 1. Characterization of steady and oscillatory instabilities," J. Fluid Mech. JFLSA70022-1120 10.1017/S0022112097008343 359, 143 (1998).
6. F. Daviaud and J.M. Vince, "Traveling waves in a fluid layer subjected to a horizontal temperature gradient," Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.48.4432 48, 4432 (1993).
7. J. Burguete, N. Mokolobwiez, F. Daviaud, N. Garnier, and A. Chiffaudel, "Buoyant-thermocapillary instabilities in extended layers subjected to a horizontal temperature gradient," Phys. Fluids PHFLE6 1070-6631 10.1063/1.1398536 13, 2773 (2001).
8. J.F. Mercier and C. Normand, "Buoyant-thermocapillary instabilities of differentially heated liquid layers," Phys. Fluids PHFLE6 1070-6631 10.1063/1.868920 8, 1433 (1996).
9. M.A. Pelacho and J. Burguet "Temperature oscillations of hydrothermal waves in thermocapillary-buoyancy convection," Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.59.835 59, 835 (1999).
10. A.M. Mancho and H. Herrero, "Instabilities in a lateraly heated liquid layer," Phys. Fluids PHFLE6 1070-6631 10.1063/1.870359 12, 1044 (2000).
11. A.B. Ezersky, A. Garcimartín, J. Burguete, H.L. Mancini, and C. Pérez-García, "Hydrothermal waves in Marangoni convection in a cylindrical container," Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.47.1126 47, 1126 (1993).
12. S. Hoyas, H. Herrero, and A.M. Mancho, "Thermal convection in a cylindrical annulus heated laterally," J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/35/18/306 35, 4067 (2002).
13. S. Hoyas, H. Herrero, and A.M. Mancho, "Bifurcation diversity of dynamic thermocapillary liquid layers," Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.057301 66, 057301 (2002).
14. N. Garnier and A. Chiffaudel, "Two dimensional hydrothermal waves in an extended cylindrical vessel," Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s100510170352 19, 87 (2001).
15. N. Garnier and C. Normand, "Effects of curvature on hydrothermal waves instability of radial thermocapillary flows," C. R. Acad. Sci., Ser IV: Phys., Astrophys. CRACFI 1631-0705 2, 1227 (2001).
16. E. Favre, L. Blumenfeld, and F. Daviaud, "Instabilities of a liquid layer locally heated on its free surface," Phys. Fluids PHFLE6 1070-6631 10.1063/1.869470 9, 1473 (1997).
17. B.-C. Sim and A. Zebib, "Effect of free surface heat loss and rotation on transition to oscillatory thermocapillary convection," Phys. Fluids PHFLE6 1070-6631 10.1063/1.1428323 14, 225 (2002).
18. B.-C. Sim, A. Zebib, and D. Schwabe, "Oscillatory thermocapillary convection in open cylindrical annuli. Part 2. Simulations," J. Fluid Mech. JFLSA7 0022-1120 491, 259 (2003).
19. H. Herrero and A.M. Mancho, "On pressure boundary conditions for thermoconvective problems," Int. J. Numer. Methods Fluids IJNFDW 0271-2091 10.1002/fld.317 39, 391 (2002).
20. C. Bernardi and Y. Maday, Approximations Spectrales de Problèmes aux Limites Elliptiques (Springer, Berlin, 1991).
21. S. Hoyas, "Estudio teórico y numérico de un problema de con-vección," Ph.D. thesis, Universidad Complutense de Madrid, 2003.
22. N. Garnier, "Ondes non-linéaires à une et deux dimensions dans une mince couche de fluide," Ph.D. thesis, University Paris 7 Denis Diderot, 2000.