Inviscid equilibrium mean flows over topography
are considered for continuously
stratified quasi-geostrophic models, in contrast to previous work
which has dealt with
two-layer models. From the constraint of maximum entropy, an
equation for the
equilibrium mean flow is derived. Analytical solutions are obtained
for uniform and
piecewise-constant stratifications. With increasing stratification,
the mean streamfunction becomes increasingly bottom intensified.
Bottom trapping becomes ever more
pronounced on smaller scales, but can remain significant even
on the largest scales.
When boundary temperature is uniform, transport is shown to be
stratification, other factors being equal. Although two-layer models
share this property, they represent poorly the energetics of the
continuous system when bottom trapping is significant.