This describes the energy available, measured in watts, in a particular area of channel. It is calculated at any given cross-section in a river by the equation:
where
Ω is stream discharge,
ρ is the density of water (1000 kg/m
3),
g is acceleration due to gravity (9.8 m/s
2),
Q is discharge (m
3/s), and
S is the channel slope.
Total stream power can be related to rates of bank or bed erosion.
Unit stream power (P) describes the energy available per unit width of channel, and provides a more detailed insight into morphological processes:
where
w is water width in metres and the other variables are in the earlier stream power equation.
Unit stream power can be used to predict when particles are entrained and the rate at which they move downstream. It may also be used to assess the likely morphological impact of altering one or more independent fluvial variables.
http://water.epa.gov/scitech/datait/tools/warsss/pla_box18.cfm EPA public access website with RIVERMorph program, which may be used to determine changes in unit stream power and thence to predict any resulting responses by the channel.