Open Channel Geometry: parabolic
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 | section factor formula | top width formula | wetted perimeter formula |
|---|---|---|---|---|---|---|---|---|---|
| parabolic | formula | A = (2/3)*T*y | y_c iteratively T*y_c = 3*Q^2/(g*(2/3)^2) | D_h = 2*y/3 | R = A/P | Naturally-shaped canals | Z = (2/3)*T*y*sqrt(2*y/3) | T = top width given | P = T + 8*y^2/(3*T) (approx) |
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