Stability of thermally driven shear flows in long inclined cavities with end-to-end temperature difference

International Journal of Heat and Mass Transfer

Volumn 42, Issue 15, 1999, Pages 2811-2822

  Delgado Buscalioni, R ^a   Crespo Del Arco, E ^a  

^a Departamento de Fisica Fundamental   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

BUOYANCY; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; PRANDTL NUMBER; SHEAR FLOW; THERMODYNAMIC STABILITY; WALL FLOW;

BUOYANCY DRIVEN SHEAR FLOWS; OSCILLATORY INSTABILITIES;

NATURAL CONVECTION;

BUOYANCY; CAVITY; FLOW STABILITY; SHEAR FLOW;

BUOYANCY; CAVITY; FLOW STABILITY; SHEAR FLOW;

EID: 0344758390     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0017-9310(98)00352-4     Document Type: Article

References (22)

1. P.G. Daniels, P. Wang, On the evolution of thermally driven shallow cavity flows, J. Fluid Mech. 259 (1994) 107.
2. B.L. Markham, F. Rosenberger, Diffusive-convective vapor transport across horizontal and inclined rectangular enclosures, J. Crystal Growth 67 (1984) 241.
3. P. Bontoux, C. Smutek, A. Randriamampianina, B. Roux, G.P. Extremet, A.C. Hurford, F. Rosenberger, De Vahl Davis, Numerical solutions and experimental results for three-dimensional buoyancy driven flows in tilted cylinders, in: Adv. Space Res., Pergamon, 1986, p. 155.
4. A.W. Woods, SJ. Lintz, Natural convection and dispersion in a tilted fracture, J. Fluid Mech. 241 (1992) 59.
5. P. Cessi, W.R. Young, Fixed-flux convection in a tilted slot, J. Fluid Mech. 237 (1992) 57.
6. G.Z. Gershuni, E.M. Zhukhovitskii, Convective stability of incompressible fluids, Israel Program for Scientific Translations, Jerusalem, 1976.
7. D.E. Cormack, L.G. Leal, J. Imberger, Natural convection in a shallow cavity with differentially heated end walls, Part 1. Asymptotic Theory, J. Fluid Mech. 65 (1974) 209.
8. J. Imberger, Natural convection in a shallow cavity with differentially heated end walls, Part 3. Experimental results, J. Fluid Mech. 65 (1974) 247.
9. J.E. Hart, A note on the stability of low-Prandtl-number Hadley circulations, J. Fluid Mech. 132 (1983) 271.
10. P. Laure, B. Roux, Synthèse des résultats obtenus par l'étude de stabilité des mouvements de convection dans une cavité horizontale de grande extension., C.R. Acad. Sci. Paris 305 Série II, (1987) 1137.
11. H.P. Kuo, S.A. Korpela, Stability and finite amplitude natural convection in a shallow cavity with insulated top and bottom and heated from a side, Phys. Fluids 31 (1) (1988) 33.
12. R.J.A. Janssen, R.A.W.M. Henkes, Influence of Prandtl number on instability mechanisms and transition in a differentially heated square cavity, J. Fluid. Mech. 290 (1995) 319.
13. R.J.A. Janssen, R.A.W.M. Henkes, Instabilities in threedimensional differentially heated cavities with adiabatic horizontal walls, Phys. Fluids 8 (1996) 62.
14. T. Adachi, J. Mizushima, Stability of thermal convection in a tilted square cavity, J. Phys. Soc. Jap. 65 (1996) 6, 1686.
15. E. Crespo del Arco, P. Bontoux, Numerical solution and analysis of asymmetric convection in a vertical cylinder: an effect of Prandtl number, Phys. Fluids Al (1989) 1348.
16. J.E. Hart, Stability of the flow in a differentially heated inclined box, J. Fluid Mech. 47 (1971) 547.
17. A. Bejan, C.L. Tien, Laminar natural convection heat transfer in a horizontal cavity with different end temperatures, J. Heat Transfer 100 (1978) 641.
18. J.E. Hart, Low Prandtl number convection between differentially heated end walls, Int. J. Heat Mass Transfer 26 (1983)7.
19. B. Brenier, B. Roux, P. Bontoux, Comparaison des méthodes Tau-Chebyshev et Galerkin dans 1' étude de stabilité des mouvements de convection naturelle. Problème des valeurs propres parasites, J. Mecanique Théorique et Appliquées (1) (1986)95.
20. J.M. Vanel, R. Peyret, P. Bontoux, A pseudospectral solution of vorticity-stream function equations using the influence matrix technique, in: K.W. Morton, MJ. Baines, (Eds), Numerical Methods for Fluid Dynamics II, Clarendom Press, Oxford, 1986, pp. 463-175.
21. J.P. Pulicani, E. Crespo del Arco, A. Randriamampianina, P. Bontoux, Spectral simulation of oscillatory convection at low Prandlt number, Int. J. Number, Meth. Fluids 10 (1990)481-517.
22. E. Drummond, S.A. Korpela. Natural convection in a shallow cavity, J. Fluid Mech. 182 (1987) 543.