|
Onset of Thermal Boundary Layer Instability.
The fluid is initially of the same temperature 1. Starting at time 0, the
fluid is cooled from the above with boundary temperature of 0 at the surface.
The top thermal boundary layer thickens with time. After a certain period of
time, the thermal boundary layer becomes unstable as Rayleigh number
characterizing the top boundary layer reaches a critical level. Cold
downwellings develop from the thermal boundary layer, which limits the
thickening of the boundary layer. The downwellings also cool the mantle.
|