GFD Lab II - Convection
We
can study convection in a laboratory setting using the apparatus sketched in the
diagram below. A stable stratification can be set up in a 50cm square tank by
slowly filling it up with water whose temperature is slowly increased with time.
This is done using (i) a mixer that mixes hot and cold water together and (ii) a
diffuser, which floats on the top of the rising water and ensures that the
warming water floats on the top without generating turbulence.
For
our diffuser we use a light metal box with holes drilled through its bottom and
an open top. The box is then tightly packed with sponges and a buoyant 'filler'
so that the whole de vice floats on water. After placing it into the tank, we take a hose
with a stopper in the end and several holes along its length, and place it on
the sponges, coiling the hose around itself once or twice. After slowly filling up the
tank with cold/hot water we remove our diffuser as carefully as possible and let
the tank settle for a few minutes.
Using
the hot and cold water supply in the laboratory we can achieve a temperature
difference of 20 C or more over the depth of the tank. The temperature profile
can be measured and recorded using the thermocouples.
Heating
at the base triggers convection from the bottom. It is supplied by a heating
pad, whose power can be controlled with a transformer.

The motion of the fluid is made visible by sprinkling a VERY\SMALL amount of potassium permanganate evenly over the base of the tank after the stable stratification has been set up. After switching on the heating at the base, thermals will be seen to rise from the base, overshoot the level at which they have zero buoyancy (the level where the
T of the thermals is equal to that the environment, Te, and sink back. Successive thermals rise higher as the layer deepens.

Convection in to a stratified layer heated from below
Click here to see a movie.
.
On the left above we see the convection layer early on the experiment; on the
right some time later. The convection 'burrows' in to the stratified layer
eroding it to create a well-mixed convection layer. Notice the thermals rising up and
brushing the stratified layer above, generating gravity waves on the
inversion.
Convection carries heat from the heating pad in to the body of the fluid
distributing it over the convection layer.
Convection in to an unstratified layer heated from below
 
If the initial fluid is unstratified then buoyant fluid rises from the
heating pad right up to the free surface: - there is no ambient stratification
to constrain vertical motion. The picture on the right zooms in on the
convective plumes.
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