Open Channel Geometry: trapezoidal
Hydraulic geometry section properties for standard open channel cross-sections — rectangular, trapezoidal, triangular, parabolic, and circular (partial flow y/D = 0.05–1.0). Provides symbolic formulas and pre-computed normalized coefficients for area (A/D²), wetted perimeter (P/D), hydraulic radius (R/D), and top width (T/D) as functions of depth ratio.
| channel shape | record id | area formula | critical depth formula | hydraulic depth formula | hydraulic radius formula | normal depth note | side slope z (dimensionless) | top width formula | wetted perimeter formula |
|---|---|---|---|---|---|---|---|---|---|
| trapezoidal | z0.5 | A = (b + 0.5*y)*y | y_c iteratively | D_h = A/T | R = (b+0.5*y)*y/(b+2*y*1.11803) | Trial | 0.5 | T = b + y | P = b + 2*y*1.11803 |
| trapezoidal | z1.0 | A = (b + y)*y | y_c iteratively | D_h = A/T | R = (b+y)*y/(b+2*sqrt(2)*y) | Trial | 1 | T = b + 2*y | P = b + 2*sqrt(2)*y |
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