Open channel Manning flow calculator

Calculate uniform-flow discharge and mean velocity with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use uniform-flow discharge and mean velocity to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Flow area (m²)
2
Wetted perimeter (m)
4
Energy slope (m/m)
0.001
Manning roughness n
0.03
Uniform-flow discharge (m³/s)
1.328073
Mean velocity (m/s)
0.664037
Hydraulic radius (m)
0.5

Try another scenario

Flow area (m²)
2.2
Wetted perimeter (m)
4
Energy slope (m/m)
0.001
Manning roughness n
0.03
Uniform-flow discharge (m³/s)
1.556718
Mean velocity (m/s)
0.707599
Hydraulic radius (m)
0.55
Calculation method

Calculation method

Uniform-flow discharge (m³/s)

Q=A R^(2/3) sqrt(S)/n, R=A/P.

Mean velocity (m/s)

Q=A R^(2/3) sqrt(S)/n, R=A/P.

Hydraulic radius (m)

Q=A R^(2/3) sqrt(S)/n, R=A/P.

Symbols and units
a
Flow area (m²)
b
Wetted perimeter (m)
c
Energy slope (m/m)
d
Manning roughness n

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • SI uniform open-channel approximation; user supplies roughness and geometry. Supported limits: All required fields must be finite values of the exact declared type and within displayed bounds. Lists contain1–1000 finite numbers. JSON tables are numeric rectangular rows, at most100 rows and30 columns; individual tools have stricter shape/domain constraints. SI uniform open-channel approximation; user supplies roughness and geometry.
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