Nonlinear convection in a rotating fluid
- 11 November 1975
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 72 (03) , 433-454
- https://doi.org/10.1017/s0022112075003072
Abstract
The paper studies convection in a horizontal layer of fluid rotating about a vertical axis. The flows at large Rayleigh number R, with a single horizontal wave-number, are investigated using the mean-field approximation of Herring (1963). The flow that maximizes the heat flux is the same as that which gives an upper bound to the heat flux in the limit of infinite Prandtl number as calculated by the methods of Howard (1963) and Chan (1971, 1974).Rotation is not significant until the Taylor number Ta exceeds O(R). For and the layer becomes stable.Keywords
This publication has 15 references indexed in Scilit:
- Investigation of turbulent convection under a rotational constraintJournal of Fluid Mechanics, 1974
- Bounds for heat transport in a porous layerJournal of Fluid Mechanics, 1973
- Nonlinear Bénard convection with rotationJournal of Fluid Mechanics, 1973
- The Effect of Rotation on Nonlinear Thermal ConvectionAustralian Journal of Physics, 1973
- Bounds for heat transport in a porous layerJournal of Fluid Mechanics, 1972
- The temporal development of a model of high Rayleigh number convectionJournal of Fluid Mechanics, 1969
- Large-amplitude Bénard convection in a rotating fluidJournal of Fluid Mechanics, 1968
- On the influence of Coriolis force on onset of thermal convectionJournal of Fluid Mechanics, 1965
- On a general evolution criterion in macroscopic physicsPhysica, 1964
- Heat transport by turbulent convectionJournal of Fluid Mechanics, 1963