Critical self-tuning: The example of zero Prandtl number convection

Journal de Physique II

Volumn 6, Issue 6, 1996, Pages 945-951

  Kumar, K ^a   Fauve, S ^a   Thual, O ^b  

^a UNIVERSITÉ DE LYON   (France)

^b IMFT   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); HYDRODYNAMICS; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; OSCILLATIONS; PRANDTL NUMBER;

GALERKIN MODEL; ZERO PRANDTL NUMBER CONVECTION;

HEAT CONVECTION;

EID: 0030172389     PISSN: 11554312     EISSN: None     Source Type: Journal    
DOI: 10.1051/jp2:1996213     Document Type: Article

References (12)

1. see for instance, Busse F.H., Rep. Prog. Phys. 41 (1978) 1929.
2. Spiegel E.A., J. Geophys. Res. 67 (1962) 3063.
3. Proctor M.R.E., J. Fluid Mech. 82 (1977) 97.
4. Busse F.H. and Clever R.M., J. Fluid Mech. 102 (1981) 75.
5. Thual O., J. Fluid Mech. 240 (1992) 229.
6. Busse F.H., J. Fluid Mech. 52 (1972) 97.
7. At finite Prandtl number, the oscillatory instability first generates a traveling wave which bifurcates to a standing wave as the Rayleigh number is increased. The traveling wave stability range in R shrinks when P decreases to zero. Direct simulations of the P = 0-equations display a standing wave (see Ref. [5]).
8. Clever R.M. and Busse F.H., Phys. Fluids A 2 (1990) 334.
9. McLaughlin J.B. and Martin P.C., Phys. Rev. A 12 (1975) 186.
10. 4 should be kept in (4).
11. Busse F.H. and Bolton E.W., J. Fluid Mech. 146 (1984) 115.
12. Ménéguzzi M., Sulem C., Sulem P.L. and Thual O., J. Fluid Mech. 182 (1987) 169.