Convective versus absolute instability in mixed Rayleigh-Bénard-Poiseuille convection

Journal of Fluid Mechanics

Volumn 384, Issue , 1999, Pages 243-262

  Carrière, Philippe ^a   Monkewitz, Peter A ^b  

^a ECOLE CENTRALE DE LYON   (France)

^b EPFL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

AIR; FLOW OF FLUIDS; GREEN'S FUNCTION; PRANDTL NUMBER; REYNOLDS NUMBER; STABILITY;

ABSOLUTE INSTABILITY; CONVECTIVE INSTABILITY; POISEUILLE FLOW; RAYLEIGH-BENARD CONVECTION; WAVE PACKET; ZERO GROUP VELOCITY;

DIFFUSION;

EID: 0344614606     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112098004145     Document Type: Article

References (24)

1. AKIYAMA, M., HWANG, G. J. & CHENG, K. C. 1971 Experiments on the onset of longitudinal vortices in laminar forced convection between horizontal plates. J. Heat Transfer 93, 335-341.
2. BRAND, H. R., DEISSLER, R. J. & AHLERS, G. 1991 Simple model for the Bénard instability with horizontal flow near threshold. Phys. Rev. A 43, 4262-4268.
3. BREVDO, L. 1991 Three-dimensional absolute and convertive instabilities, and spatially amplifying waves in parallel shear flows. Z. Angew. Math. Phys. 42, 911-942.
4. BRIGGS, R. J. 1964 Electron-Stream Interaction with Plasmas. Research Monograph 29. MIT Press.
5. DEISSLER, R. J. 1987 The connective nature of instability in plane Poiseuille flow. Phys. Fluids 30, 2303-2305.
6. DRAZIN, P. & REID, W. 1981 Hydrodynamic Instability. Cambridge University Press.
7. FUJIMURA, K. & KELLY, R. E. 1995 Interaction between longitudinal convection rolls and transverse waves in unstably stratified plane Poiseuille flow. Phys. Fluids 7, 68-79.
8. FUKUI, K., NAKAJIMA, M. & HUEDA, H. 1983 The longitudinal vortex and its effects on the transport processes in combined free and forced laminar convection between horizontal and inclined parallel plates. Intl J. Heat Mass Transfer 26, 109-120.
9. GAGE, K. S. & REID, W. H. 1968 The stability of thermally stratified plane Poiscuilk flow. J. Fluid Mech. 33, 21-32.
10. HUERRE, P. & MOSKEWITZ, P. A. 1985 Absolute and convective instabilities in free shear layers. J. Fluid Mech 159, 151-168.
11. HUERRE, P. & MONKEWITZ, P. A. 1990 Local and global instabilities in spatially developing flows. Ann. Rev. Fluid Mech 22, 473-537.
12. KELLY, R. E. 1994 The onset and development of thermal convection in fully developed shear flows. Adv. Appl. Mech. 31, 35-112.
13. LE DIZÈS, S., HUERRE, P., CHOMAZ, J. M. & MONKEWITZ, P. A. 1996 Linear global modes in spatially developing media. Phil. Trans. R. Soc. Lond. A 354, 169-212.
14. LI, H., KELLY, R. E. & HALL, P. 1997 Absolute instability of Rayleigh-Bénard convection in a time-periodic shear flow. Phys. Fluids 9, 1273-1276.
15. LUIJKX, J. M., PLATTEN, J. K. & LEGROS, J. C. 1981 On the existence of thermoconvective rolls, transverse to a superimposed mean Poiseuille flow. Intl J. Heat Mass Transfer 24, 1287-1291.
16. MANNEVILLE, P. 1991 Structures Dissipatives, Chaos et Turbulence. Aléa Saclay.
17. MÜLLER, H. W. 1990 Thermische Konvektion in Horizontaler Scherströmung. PhD thesis, Universität des Saarlandes, Saarbrücken.
18. MÜLLER, H. W., LÜCKE, M. & KAMPS, M. 1992 Transversal convection patterns in horizontal shear flow. Phys. Rev. A 45, 3714-3726.
19. MÜLLER, H. W., TVEITBREID, M. & TRAINOFF, S. 1993 Rayleigh-Bénard problem with imposed weak through-flow: Two coupled Ginzburg-Landau equations. Phys. Rev. E 48, 263-272.
20. NICOLAS, X., MOJTABI, A. & PLATTEN, J. 1997 Two-dimensional numerical analysis of the Poiseuille-Bènard flow in a rectangular channel heated from below. Phys. Fluids 9, 337-348.
21. OSTRACH, S. & KAMOTANI, Y. 1975 Heat transfer augmentation in laminar fully developed channel flow by means of heating from below. J. Heat Transfer 97, 220-225.
22. OUAZZANI, M. T., CATALGIRONE, J. P., MEYER, G. & MOJTABI, A. 1989 Etude numérique et expérimentale de la convection mixte entre deux plans horizontaux àtempératures différentes. Intl J. Heat Mass Transfer 32, 261-269.
23. OUAZZANI, M. T., PLATTEN, J. K. & MOJTABI, A. 1990 Etude numérique et expérimentale de la convection mixte entre deux plans horizontaux à températures différentes II. Intl J. Heat Mass Transfer 33, 1417-1427.
24. TVEITEREID, M. & MÜLLER, H. W. 1994 Pattern selection at the onset of Rayleigh-Bénard convection in a horizontal shear flow. Phys. Rev. E 50, 1219-1226.