// multi-utility computation suite · offline · instant · precise
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sci.Manning-open-channel-trapezoid Calculator
Calculates normal depth yn in a trapezoidal channel cross-section for a given discharge using Manning's equation and iterative solution. Normal depth requires numerical iteration because hydraulic radius R = A/P depends non-linearly on depth — Newton-Raphson converges in 3–5 iterations from an initial guess.
Inputs
Q M3S
Reference formula or conversion factor shown for context.
N Manning
Reference formula or conversion factor shown for context.
S Slope
Reference formula or conversion factor shown for context.
B M
Horizontal extent perpendicular to the length.
Z Side
Reference formula or conversion factor shown for context.
Results
normal depth yn (m)
The computed depth.
flow velocity V (m/s)
Reference formula or conversion factor shown for context.