Transition from laminar convection to thermal turbulence in a rotating fluid layer
- 20 February 1969
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 35 (3) , 609-620
- https://doi.org/10.1017/s0022112069001327
Abstract
The convective flow in an infinite horizontal fluid layer rotating rigidly about a normal axis is investigated for the special case of infinite Prandtl number and free boundary conditions. For slightly supercritical Rayleigh numbers the solutions of the non-linear steady-state equations are derived approximately by an amplitude expansion. A stability calculation shows that no stable steady-state convective flow exists if the Taylor number exceeds the critical value 2285.Keywords
This publication has 1 reference indexed in Scilit:
- Cellular convection with finite amplitude in a rotating fluidJournal of Fluid Mechanics, 1959