Manning’s Open Channel Flow Calculator

Water

Manning’s Open Channel Flow Calculator

Calculate open-channel flow rate and velocity for rectangular and trapezoidal channels using Manning’s equation.

Enter slope as decimal rise/fall per unit length. Example: 0.001 = 0.1%.
Roughness varies with channel material, condition and vegetation.
Flow Rate
—
Estimated uniform open-channel discharge using Manning’s equation.
Flow rate —
Flow rate —
Flow rate —
Average velocity —
Flow area —
Wetted perimeter —
Hydraulic radius —
Top width —
Manning n —
Method: Manning’s equation in SI units is: Q = (1/n) × A × R2/3 × S1/2 where Q is discharge in m³/s, n is Manning’s roughness coefficient, A is flow area, R is hydraulic radius and S is energy slope. Hydraulic radius is: R = A ÷ P where P is the wetted perimeter. For a rectangular channel: A = b × y P = b + 2y For a trapezoidal channel with equal side slopes zH:1V: A = y × (b + z × y) P = b + 2y × √(1 + z²) Manning’s equation assumes approximately steady, uniform flow. In a suitable uniform channel reach, the channel or water-surface slope can approximate the energy slope. Roughness selection can significantly affect the result, so actual channel material, vegetation and condition should be considered.