Effect of gravity modulation on the stability of a horizontal double-diffusive layer

Journal of Fluid Mechanics

Volumn 589, Issue , 2007, Pages 183-213

  Yu, Youmin ^a   Chan, Cho Lik ^a   Chen, C F ^a  

^a University of Arizona   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DIFFUSION; FLOW OF FLUIDS; GRAVITATION; LINEAR STABILITY ANALYSIS; THERMAL GRADIENTS; THERMAL STRATIFICATION;

GRAVITY MODULATION; RAYLEIGH NUMBER;

HEAT TRANSFER;

COMPUTER SIMULATION; DIFFUSION; FLOW OF FLUIDS; GRAVITATION; HEAT TRANSFER; LINEAR STABILITY ANALYSIS; THERMAL GRADIENTS; THERMAL STRATIFICATION;

COMPUTER SIMULATION; DIFFUSION; EXPERIMENTAL STUDY; FLOW STABILITY; OSCILLATING FLOW; RAYLEIGH NUMBER; STEADY FLOW; STRATIFIED FLUID; TEMPERATURE GRADIENT;

EID: 36749022340     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112007007690     Document Type: Article

References (26)

1. ARAKAWA, A. 1966 Computational design for long-term numerical integration of the equations of fluid motion: Two-dimensional incompressible flow. Part 1. J. Comput. Phys. 1, 119-143.
2. BENIELLI, D. & S OMMERIA, J. 1998 Excitation and breaking of internal gravity waves by parametric instability. J. Fluid Mech. 374, 117-144.
3. CHAN, C. L., YU, Y. & CHEN, C. F. 2004 Instability of convection of an ethanol-water solution in a vertical tank. J. Fluid Mech. 510, 243-265.
4. CHEN, W.-Y. & CHEN, C. F. 1999 Effect of gravity modulation on the stability of convection in a vertical slot. J. Fluid Mech. 395 327-344.
5. DUFORT, E. C. & FRANKEL, S. P. 1953 Stability conditions in the numerical treatment of parabolic differential equations. Math. Tables Other Aids Comput. 7, 135-152.
6. GERSHUNI, G. Z., ZHUKHOVITSKII, E. M. & IURKOV, I. S. 1970 On the convective stability in the presence of periodically varying parameter. Z. Angew. Math. Mech. 34, 442-452.
7. GHORAYEB, K. & MOJATABI, A. 1997 Double diffusive convection in a vertical rectangular cavity. Phys. Fluids 9, 2339-2348.
8. GRESHO, P. M. & SANI, R. L. 1970 The effects of gravity modulation on the stability of a heated fluid layer. J. Fluid Mech. 40, 783-806.
9. HAYES, M. H. 1996 Statistical Digital Signal Processing and Modeling. Wiley.
10. HOUSTIS, E. N. & PAPATHEODOROU, T. S. 1979 High-order fast elliptic equation solvers. ACM Trans. Math. Software 5, 431-441.
11. HUANG, H. & WETTON, B. R. 1996 Discrete compatibility in finite difference methods for viscous incompressible fluid flow. J. Comput. Phys. 126, 468-478.
12. HUPPERT, H. E. & MOORE, D. R. 1976 Nonlinear double-diffusive convection. J. Fluid Mech. 78, 821-854.
13. LANDOLT, H. & BORNSTEIN, R. 1989 Eigenschaften der Materie in ihren aggregatzustaden, part 5, p. 640. Springer.
14. NAPOLITANO, M., PASCAZIO, G. & QUARTAPELLE, L. 1999 A review of vorticity conditions in the numerical solution of the ζ-ψ equations. Computers Fluids 28, 139-185.
15. NIELD, D. A. 1967 The thermohaline Rayleigh-Jeffreys problem. J. Fluid Mech. 29, 545-558.
16. PROAKIS, J. G. & MANOLAKIS, D. G. 1996 Digital Signal Processing: Principles, Algorithms, and Applications. Prentice-Hall.
17. ROACHE, P. J. 1982 Computational Fluid Dynamics. Hermosa, Albuquerque, NM.
18. ROGERS, J. R., PESCH, W., BRAUSCH, O. & SCHATZ, M. F. 2005 Complex-ordered patterns in shaken convection. Phys. Rev. E 71 066214-1-18.
19. SAUNDERS, B. V., MURRAY, B. T., MCFADDEN, G. B., CORIELL, S. R. & WHEELER, A. A. 1992 The effect of gravity modulation on thermosolutal convection in an infinite layer of fluid. Phys. Fluids A 4, 1176-1189.
20. SEKERZH-ZEN'KOVICH, S. YA. 1983 Parametric resonance in a stratified liquid in a container undergoing vertical vibration. Sov. Phys. Dokl. 28(6), 445-446.
21. SHIRTCLIFFE, T. G. L. 1967 Thermosolutal convection: Observation of an overstable mode. Nature 213, 489-490.
22. SHIRTCLIFFE, T. G. L. 1969 An experimental investigation of thermosolutal convection at marginal stability. J. Fluid Mech. 35, 677-688.
23. SINHA, S. C. & WU, D.-H. 1991 An efficient computational scheme for the analysis of periodic systems. J. Sound Vib. 151, 91-117.
24. TANNY, J., CHEN, C. C. & CHEN, C. F. 1995 Effects of interaction between Marangoni and double-diffusive instabilities. J. Fluid Mech. 303, 1-21.
25. TURNER, J. S. 1973 Buoyancy Effects in Fluids. Cambridge University Press.
26. WRIGHT, J. H. & LOEHRKE, R. I. 1976 The onset of thermohaline convection in a linearly-stratified horizontal layer. Trans. ASME C: J. Heat Transfer 98, 558-563.