Abstract
We investigate the convection and density stratification that form
when buoyancy fluxes are simultaneously applied to a finite volume
in both a turbulent buoyant plume from a small source and as a uniform
heat flux from a horizontal boundary. The turbulent plume tends to
produce a stable density stratification, whereas the distributed
flux from a boundary tends to force vigorous overturning and vertical
mixing. Experiments show that steady, partially mixed and partially
stratified states can exist when the plume buoyancy flux is greater
than the distributed flux. When the two fluxes originate from the
same boundary, the steady state involves a balance between the rate
at which the mixed layer deepens due to encroachment and vertical
advection of the stratified water far from the plume due to the plume
volume flux acquired by entrainment. There is a monotonic relationship
between the normalized mixed layer depth and flux ratio R (boundary
flux/plume flux) for 0 < R < 1, and the whole tank overturns for
R > 1. The stable density gradient in the stratified region is primarily
due to the buoyancy from the plume but is strengthened by a stabilizing
temperature gradient resulting from entrainment of heat into the
plume from the mixed layer. This result may be relevant to the upper
oceans of high latitude where there is commonly a destabilizing heat
flux from the sea surface as well as more localized and intense deep
convection from the surface. For the case of fluxes from a plume
on one boundary and a uniform heat flux from the opposite boundary
the shape of the density profile is that given by the Baines & Turner
(1969) 'filling-box' mechanism, with the gradient reduced by a factor
(1 + R) due to the heating. Thus, when R < -1 there is no stratified
region and the whole water column overturns. When 0 > R > -1, the
constant depth of the convecting layer is determined by a balance
between buoyancy and turbulent kinetic energy in the outflow layer
from the plume.
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