Abstract:
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We present an application of the transport theory developed for
area preserving dynamical systems, to the problem of pollution
and in particular patchiness in clouds of pollution in
partially stratified estuaries. We model the flow in such
estuaries using a $3+1$ dimensional uncoupled cartoon of the
dominant underlying global circulation mechanisms present
within the estuarine flow. We separate the cross section up
into different regions, bounded by partial and complete
barriers. Using these barriers we then provide predictions for
the lower bound on the vertical local flux. We also present
work on the relationship between the time taken for a particle
to leave the estuary, (ie. the exit time), and the mixing
within the estuary. This link is important as we show that to
optimally discharge pollution into an estuary both concepts
have to be considered. We finish by suggesting coordinates in
space time for an optimal discharge site and a discharge policy
to ensure the continually optimal discharge from such a site
(or even a non optimal site). |