Nonlinear stability of mixed convection flow under non-Boussinesq conditions. Part 2. Mean flow characteristics

Journal of Fluid Mechanics

Volumn 398, Issue , 1999, Pages 87-108

  Suslov, S A ^a,b   Paolucci, S ^a  

^a University of Notre Dame   (United States)

^b UNIVERSITY OF SOUTHERN QUEENSLAND   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3543015845     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112099006229     Document Type: Article

References (19)

1. BENNEY, D. J. & BERGERON, R. F. 1969 A new class of nonlinear waves in parallel flows. Stud. Appl. Maths 48, 181-204.
2. BENNEY, D. J. & MASLOW, S. A. 1974 The evolution in space and time of nonlinear waves in parallel shear flows. Stud. Appl. Maths 54, 181-205.
3. DAVIS, R. E. 1969 On the high Reynolds number flow over a wavy boundary. J. Fluid Mech. 36, 337-346.
4. ELSHERBINY, S., RAITHBY, G. & HOLLANDS, K. 1982 Heat transfer by natural convection across vertical and inclined air layers. Trans. ASME: J. Heat Transfer 104, 96-102.
5. FUJIMURA, K. 1989 The equivalence between two perturbation methods in weakly nonlinear stability theory for parallel shear flows. Proc. R. Soc. Lond. A 424, 373-392.
6. FUKUI, K., NAKAJIMA, M., UEDA, H., SUZAKI, K. & MIZUSHINA, T. 1982 Flow instability and transport phenomena in combined free and forced convection between vertical parallel plates. J. Chem. Engng Japan 15, 172-180.
7. HABERMAN, R. 1972 Critical layers in parallel flows. Stud. Appl. Maths 51, 139-161.
8. HERBERT, T. 1983 On perturbation methods in nonlinear stability theory. J. Fluid Mech. 126, 167-186.
9. IMSL, INC. 1989 IMSL Mathematical Library, Version 1.1. Houston, TX.
10. PAOLUCCI, S. 1982 On the filtering of sound from the Navier-Stokes equations. Tech. Rep. SAND82-8257. Sandia National Laboratories, Livermore, California.
11. SHEWEN, E., HOLLANDS, K. & RAITHBY, G. 1996 Heat transfer by natural convection across a vertical air cavity of large aspect ratio. Trans. ASME: J. Heat Transfer 118, 993-995.
12. STUART, J. T. 1960 On the non-linear mechanics of wave disturbances in stable and unstable parallel flows. Part 1. The basic behaviour in plane Poiseuille flow. J. Fluid Mech. 9, 353-370.
13. SUSLOV, S. A. 1997 Nonlinear analysis of non-Boussinesq convection. PhD thesis, University of Notre Dame, USA.
14. SUSLOV, S. A. & PAOLUCCI, S. 1995a Stability of natural convection flow in a tall vertical enclosure under non-Boussinesq conditions. Intl J. Heat Mass Transfer 38, 2143-2157.
15. SUSLOV, S. A. & PAOLUCCI, S. 1995b Stability of mixed-convection flow in a tall vertical channel under non-Boussinesq conditions. J. Fluid Mech. 302, 91-115.
16. SUSLOV, S. A. & PAOLUCCI, S. 1997a Non-Boussinesq convection in a tall cavity near the codimension2 point. Proc. ASME Heat Transfer Division 3. HTD-Vol. 353, pp. 243-250.
17. SUSLOV, S. A. & PAOLUCCI, S. 1997b Nonlinear analysis of convection flow in a tall vertical enclosure under non-Boussinesq conditions. J. Fluid Mech. 344, 1-41.
18. SUSLOV, S. A. & PAOLUCCI, S. 1999 Nonlinear stability of mixed convection flow under nonBoussinesq conditions. Part 1. Analysis and bifurcations. J. Fluid Mech. 398, 61-85.
19. WATSON, J. 1960 On the non-linear mechanics of wave disturbances in stable and unstable parallel flows. Part 2. The development of a solution for plane Poiseuille flow and for plane Couette flow. J. Fluid Mech. 9, 371-389.