Characteristics of a buoyant surface jet discharged on a sloping botto
m are reviewed and a numerical experiment is performed to evaluate the
depth at the point where the jet detaches from the bottom. This calcu
lation is important in the context of predicting dilution and spreadin
g characteristics of buoyant discharges, for example, associated with
heated discharges from power plants. The experiment is based on a dire
ct numerical solution of the longitudinally integrated momentum equati
on, which takes into account entrainment and bottom friction. Results
are compared with laboratory and field data reported in the literature
, as well as previous empirical relations for calculating this depth.
It is found that the appropriately scaled detachment depth varies with
the inverse of the discharge densimetric Froude number. The scaled de
pth decreases with increases in either the entrainment or bottom frict
ion coefficient, but increases with increasing slope. A minor effect o
f discharge aspect ratio is also shown. An equation is developed for p
redicting detachment depth and the results help to resolve differences
seen in preVioUS relations.