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Flow - Flow by long waves - A18.6
Translation waves
The increase in the depth-averaged flow velocity in a prismatic channel resulting from an increase in flow Δq (m2/s) is :

with

and:

or

in which:
a0: original water depth [m]
c: propagation velocity of translation wave [m/s]
Δa: increase in water level [m]
Δq: increase in rate of flow [m2/s]
Δu: depth averaged increase in flow velocity [m/s]