Open Channel Geometry: triangular
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 | side slope z (dimensionless) | top width formula | wetted perimeter formula |
|---|---|---|---|---|---|---|---|---|---|---|
| triangular | z0.5 | A = 0.5*y^2 | y_c = (2*Q^2/(g*z^2))^(1/5) | D_h = y/2 | R = 0.5*y/(2*1.11803) | Explicit: y_c = (2Q^2/g/z^2)^(1/5) | Z = y^(5/2)*0.5^(3/2)/1 | 0.5 | T = y | P = 2*y*1.11803 |
| triangular | z1.0 | A = y^2 | y_c = (2*Q^2/(g*4))^(1/5) | D_h = y/2 | R = y/(2*sqrt(2)) | Explicit | Z = y^(5/2)/sqrt(2) | 1 | T = 2*y | P = 2*sqrt(2)*y |
| triangular | z1.5 | A = 1.5*y^2 | y_c = (2*Q^2/(g*z^2))^(1/5) | D_h = y/2 | R = 1.5*y/(2*1.80278) | Explicit | Z = 1.5*y^(5/2)/sqrt(3) | 1.5 | T = 3*y | P = 2*y*1.80278 |
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