Manning Equation Calculator

Estimate open-channel and partially full pipe flow using Manning equation.

Manning equation calculator graphic showing channel shapes, pipe shapes, inputs, equation, and hydraulic outputs

Engineering Calculator

Manning Equation Calculator

Estimate open-channel flow, partially full circular pipe flow, velocity, wetted area, hydraulic radius, Froude number, and boundary shear stress.

Inputs

For US units, enter diameter in inches. For SI units, enter diameter in mm.
For open channels, use ft or m. For circular pipe, use inches or mm to match diameter.
Horizontal:vertical, e.g., 2 for 2H:1V.
Horizontal:vertical.
ft/ft or m/m.

Use engineering judgment and local criteria before relying on these results for design or permitting.

Results

Flow rate Q—
Velocity V—
Wetted area A—
Wetted perimeter P—
Hydraulic radius R—
Top width T—
Froude number Fr—
Boundary shear τ—

Equation used

V = k/n × R2/3 × S1/2

Q = A × V

Typical Manning n starting values

Surface / channel conditionTypical n
Smooth plastic pipe0.009–0.011
Concrete pipe or concrete-lined channel0.012–0.015
Corrugated metal pipe0.022–0.027
Earth channel, clean and straight0.020–0.030
Natural stream, clean but winding0.035–0.050
Vegetated or rough natural channel0.050+

What this calculator does

This tool estimates steady uniform flow properties for common channel shapes and partially full circular pipes.

Inputs explained

  • Shape: Select the channel or pipe section.
  • Geometry: Enter dimensions such as depth, width, diameter, or side slope.
  • Slope: Enter the channel or energy grade slope.
  • Manning n: Enter the roughness coefficient for the surface condition.

Limitations

Results are based on steady, uniform flow. This tool does not evaluate backwater, controls, hydraulic jumps, rapidly varied flow, sediment transport, scour, culvert inlet control, or tailwater.

FAQ

What is Manning equation used for?

It is commonly used to estimate open-channel flow and gravity flow in pipes when the flow is not pressurized.

What is hydraulic radius?

Hydraulic radius is flow area divided by wetted perimeter.

Can this be used for concrete channels?

Yes, for early checks when the roughness coefficient and geometry are appropriate.

Can this replace a hydraulic model?

No. Use HEC-RAS, SWMM, WSPG, or other required tools for detailed analysis.

Related tools

Need help reviewing this result?

Use this calculator for planning-level checks, then request help if you need a second look at assumptions, units, stormwater criteria, pump sizing, storage volume, or report-ready calculations.