Cellular Structures in Instabilities pp 270-277 | Cite as
Shear modes in low-prandtl thermal convection
Conference paper
First Online:
Abstract
Non-linear, time-dependent numerical simulations of low Prandtl thermal convection are presented. The model is based on a modal expansion and includes a vertical vorticity mode. Shear instability of the primary flow —an hexagonal cell— is proved, and the bifurcation is examined. Two new families of solutions emerge from the bifurcation. One of them, steady, is conjectured to be unstable; the other one, periodic, is examined as a candidate to explain the high frequencies observed in mercury near the transition to time-dependence.
Keywords
Nusselt Number Prandtl Number Rayleigh Number Shear Instability Primary Flow
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Preview
Unable to display preview. Download preview PDF.
Bibliography
- Busse,F.H. (1972) J.Fluid Mech. 52,97.Google Scholar
- Busse,F.H. and Clever,R.M. (1981) J.Fluid Mech. 102,75.Google Scholar
- Clever,R.M. and Busse,F.H. (1974) J.Fluid Mech. 65,625.Google Scholar
- Clever,R.M. and Busse,F.H. (1981) J.Fluid Mech. 102,61.Google Scholar
- Jones,C.A.;Moore,D.R. and Weiss,N.O. (1976) J.Fluid Mech. 73,153.Google Scholar
- Jones,C.A. and Moore,D.R. (1979) Geophys, and Astrophys. Fluid Dyn. 11, 245.Google Scholar
- Krishnamurti,R. (1973) J.Fluid Mech. 60,285.Google Scholar
- McLaughlin,J.B. and Martin,P.C. (1975) Phys.Rev. 12,186.CrossRefGoogle Scholar
- Orzag,S.A. and Kells,L.C. (1980) J.Fluid Mech. 96,159.Google Scholar
- Proctor,M.R.E. (1977) J.Fluid Mech. 82,97.Google Scholar
- Rossby,H.T. (1969) J.Fluid Mech. 36,309.Google Scholar
- Toomre,J.;Gough,D.O. and Spiegel,E.A. (1977) J. Fluid Mech. 79,1Google Scholar
- Toomre,J.;Gough,D.O. and Spiegel,E.A. (1982) J.Fluid Mech. 125,99Google Scholar
Copyright information
© Springer-Verlag 1984