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Manning's Equation Calculator

Calculate open-channel flow velocity and discharge using Manning's roughness equation.

Your inputs

Change any value to update the result instantly.

Construction & Materials
ft
ft/ft
ft²

Flow velocity

5.7882 ft/s

Discharge Q

46.31 ft³/s

Discharge (gpm)

20,783 gpm

Hydraulic radius

1.2 ft

Formula and working

V = (1.49/n) × R^(2/3) × S^(1/2)

  1. 1

    Collect the inputs

    Manning's roughness n = 0.013; Hydraulic radius R = 1.2 ft; Channel slope S = 0.002 ft/ft; Cross-sectional flow area = 8 ft²

  2. 2

    Apply the formula

    V = (1.49/n) × R^(2/3) × S^(1/2)

  3. 3

    Result

    Flow velocity = 5.7882 ft/s

Frequently asked questions

Important limitation

This is an educational estimate based only on the values and formula shown. Verify current rates, rules, units, and professional standards before relying on the result. It is not personalized financial or investment advice.

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