Journal of Fluid Mechanics

Transition from laminar convection to thermal turbulence in a rotating fluid layer

G.  Küppers a1 and D.  Lortz a1
a1 Institut für Plasmaphysik, Garching bei München

Article author query
küppers g   [Google Scholar] 
lortz d   [Google Scholar] 


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.

(Published Online March 28 2006)
(Received April 20 1968)