// multi-utility computation suite · offline · instant · precise
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sci.Manning-open-channel-flow Calculator
Calculates mean velocity V = (1/n)R^(2/3)S^(1/2) and discharge Q = VA for uniform open channel flow using Manning's equation. Manning's n = 0.012 for smooth concrete; 0.025 for natural streams; 0.05 for heavily vegetated channels — slope S is the energy gradient, equal to bed slope for uniform flow.
Inputs
N Roughness
Reference formula or conversion factor shown for context.
A M2
Two-dimensional surface extent (m²). For complex shapes, break into simpler sub-shapes and sum.
R M
Distance from centre to edge of a circle. Radius = diameter / 2.
S Slope
Reference formula or conversion factor shown for context.
Results
mean velocity V (m/s)
Arithmetic average — sum divided by count. Simple and familiar, but pulled by outliers. If your data contains extreme values, the median may be more representative.
discharge Q (m³/s)
Reference formula or conversion factor shown for context.
discharge Q (m³/hr)
Reference formula or conversion factor shown for context.
Froude number Fr (approx)
Sample size or count used in the calculation.
V = (1/n)·R^(2/3)·S^(1/2)
Sample size or count used in the calculation.
flow regime
Whether the flow is laminar (smooth, ordered) or turbulent (chaotic). Determined by the Reynolds number: below 2,300 = laminar; above 4,000 = turbulent.