Manning Equation Calculator

Enter channel geometry, slope, and Manning's roughness coefficient to compute flow velocity and discharge.

Channel Parameters

Fill in the parameters on the left and click Calculate.

Common Manning's n Values
Material n Range
Smooth concrete0.010–0.013
Concrete pipe0.012–0.015
Corrugated metal pipe0.013–0.024
Earth channel (clean)0.018–0.025
Gravel/cobble0.025–0.040
Natural stream0.025–0.075

Summary

Enter channel geometry, slope, and Manning's roughness coefficient to compute flow velocity and discharge.

How it works

  1. Select a channel cross-section shape (rectangular, trapezoidal, circular, or triangular).
  2. Enter the channel dimensions and flow depth in the fields that appear.
  3. Input the longitudinal bed slope as a dimensionless ratio (e.g., 0.001 for 1 in 1000).
  4. Select or enter the Manning's roughness coefficient n for your channel material.
  5. Choose unit system (metric or US customary) and click Calculate.
  6. Velocity (V), discharge (Q), hydraulic radius (R), and flow area (A) are shown instantly.

Use cases

  • Size storm drains and culverts for drainage design.
  • Estimate river or stream discharge for flood routing.
  • Verify flow capacity of irrigation ditches and canals.
  • Design roadside swales and trapezoidal channels.
  • Check existing channel capacity against design storm runoff.
  • Compute normal depth for a given discharge in hydraulic studies.

Frequently Asked Questions

Last updated: 2026-07-24 · Reviewed by Nham Vu