// multi-utility computation suite · offline · instant · precise
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sci.critical-depth-specific-energy Calculator
Calculates critical depth y_c in open channel flow (Fr = 1) and specific energy E_c = 3/2 × y_c for a rectangular channel. Critical flow separates subcritical (Fr < 1, deep slow) from supercritical (Fr > 1, shallow fast) — hydraulic jumps occur when supercritical flow transitions to subcritical.
Inputs
Q M3S
Reference formula or conversion factor shown for context.
B M
Horizontal extent perpendicular to the length.
G Ms2
Reference formula or conversion factor shown for context.
Results
critical depth yc (m)
The computed depth.
critical velocity Vc (m/s)
Reference formula or conversion factor shown for context.
minimum specific energy Ec (m)
The smallest value in the dataset or feasible range.
unit discharge q = Q/b (m²/s)
Sample size or count used in the calculation.
yc = (q²/g)^(1/3) | Ec = 3yc/2 | Vc = √(g·yc)
Reference formula or conversion factor shown for context.
design note
Supplementary information explaining an assumption, caveat, or important context for interpreting the result.