This technical note describes an experimental study of the free overfa
ll from a rectangular channel with differing slopes and bed roughnesse
s. The relationship between the upstream critical depth and brink dept
h is explored and found to be influenced by both slope and channel-bed
roughness, with roughness having a greater effect at steeper slopes.
Two empirical equations are proposed for calculating this relationship
, the first requiring only the channel slope to be known, and the seco
nd requiring a knowledge of channel slope and roughness. The accuracy
of the two equations when used in a method for flow measurement are co
mpared. The first relationship, in which the effects of slope and roug
hness are aggregated, provides a useful estimate of channel discharge
if only the channel slope is known. If both bed roughness and slope ar
e known then the second relationship can be used to calculate channel
discharge with greater accuracy.