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### Stream Power Formulas and Calculator

**Civil Engineering Design and Engineering
Fluids Engineering and Design **

**Stream Power Formulas and Calculator **

Stream power is a geomorphology concept that is a measure of the available energy a stream has for moving sediment, rock, or woody material.

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For a cross section, the total stream power per unit length of channel may be formulated as:

Ω = γ Q S_{f}

Ω = γ v w d S_{f}

Where:

γ = unit weight of water (lb/ft^{3})

Q = discharge (ft^{3}/s)

S_{f} = energy slope (ft/ft)

v = velocity (ft/s)

w = channel width (ft)

d = hydraulic depth (ft)

English units are pounds per second per foot of channel length. A second formulation, unit stream power, is the stream power per unit of bed area:

__Ω__ = τ v

where:

τ = bed shear stress

v = average velocity

A third formulation relates stream power per unit weight of water:

__Ω__ = S_{f} v

where the terms are as previously defined.

References:

National Engineering Handbook, United States Department of Agriculture

Part 654 STream Restoration Design