Qg. Rayer et al., THERMAL-CONVECTION IN A ROTATING FLUID ANNULUS BLOCKED BY A RADIAL BARRIER, Geophysical and astrophysical fluid dynamics, 87(3-4), 1998, pp. 215-252
There have been extensive previous laboratory studies of thermal conve
ction in a vertical cylindrical annulus of fluid that rotates about it
s axis with angular velocity Omega (say) with respect to an inertial f
rame and is subject to an axisymmetric horizontal temperature gradient
, as well as associated theoretical and numerical work. The relative f
low produced by concomitant buoyancy forces is strongly influenced by
Coriolis forces, which give rise to azimuthal circulations and promote
, through the process of ''baroclinic instability'', regimes of non-ax
isymmetric sloping convection which can be spatially and temporally re
gular or irregular (''chaotic geostrophic turbulence''). It is also kn
own from previous work that such flows are changed dramatically by the
presence of a thin rigid impermeable radial barrier blocking the cros
s-section of the annulus, and capable of supporting a net azimuthal pr
essure gradient and associated net azimuthal temperature gradient with
in the fluid. The presence of the barrier can thus render convective h
eat transport across the fluid annulus (as measured by the Nusselt num
ber, Nu) virtually independent of Omega (as measured by the so-called
Ekman or Taylor number) and dependent only on the Grashof number, G. T
he present study reports further systematic determinations of heat tra
nsport and of velocity and temperature fields in the presence of a rad
ial barrier, with emphasis on the Omega-dependence of the crucially-im
portant net azimuthal temperature gradient supported by the barrier an
d the physical interpretation of that dependence.