It is common practice to discharge sewage and industrial effluents int
o estuaries. The absence of an advective current at the turn of the ti
de may allow the immediate pollution level close to the source (or the
subsequent dissolved oxygen sag) to build up to unacceptably high lev
els. One way of alleviating the worst excesses is to use holding tanks
and to vary the rate of discharge. This paper gives explicit formulae
for the optimal rate of discharge in narrow estuaries to match the di
lution capacity of the tidal flow and thereby to minimize the maximum
pollution level. It is also shown how oxygenation of the discharge can
be optimized to satisfy a specified limit upon the permissible maximu
m oxygen sag.