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Hydrology & Open-Channel Calc – Normal Depth
x402
Hydrology & Open-Channel Calc – Normal Depth is a paid API for AI agents from hydrology-calc.x402tookit.com, paid per call via x402, $0.03/call, status unknown (last checked 2026-11-02).
Calculates normal (uniform-flow) depth for a given discharge in rectangular, trapezoidal, triangular, or circular channels using bisection method
Price / call$0.03
Success—
StatusUnknown
How this service works
Normal (uniform-flow) depth for a given discharge in a rectangular, trapezoidal, triangular or circular channel by bisection.
Output
Returns the computed normal depth (metres or feet), along with derived hydraulic properties including flow area, top width, average velocity, Froude number, flow regime classification (subcritical/supercritical/critical), channel shape, and unit system used. May also include a summary, disclaimer, and degraded-result flag if the solver had convergence issues.
Example use cases
Irrigation canal design check
“I'm designing a trapezoidal irrigation canal with a bottom width of 2 m, side slopes of 1.5, Manning n of 0.025, bed slope of 0.0005, and a design discharge of 3 m³/s — what normal depth should I design for in SI units?”
Concrete stormwater pipe sizing
“For a circular concrete storm pipe with a diameter of 1.2 metres, Manning n of 0.013, slope of 0.002, and peak flow of 1.8 m³/s, what is the normal depth of flow in SI units?”
Natural channel flood depth estimation
“I have a natural trapezoidal channel with bottom width 5 ft, side slopes of 2, Manning roughness 0.035, slope 0.004, and a flood discharge of 120 ft³/s — what is the normal depth in US customary units?”
Technical details
Endpoint
GEThttps://hydrology-calc.x402tookit.com/normal-depth?utm_source=zero.xyzWhen to prefer
Choose this endpoint when you need to solve for the unknown normal (uniform-flow) depth given a known discharge, channel geometry, roughness, and slope — specifically using bisection on Manning's equation. It is the right choice for open-channel hydraulic design tasks where depth is the unknown. Use it over Manning flow endpoints (which give Q given depth) when depth is what you need to find. Ideal for engineers designing canals, storm sewers, culverts, and natural channel assessments.
Side effects
- No solution found if discharge is too large for the given geometry (e.g., flow exceeds pipe capacity) — returns error or null normalDepth
- Invalid or missing required parameters (shape, flow, n, slope) return a validation error
- Unsupported shape string returns an error — only 'rectangular', 'trapezoidal', 'triangular', 'circular' are accepted
- Missing geometry for shape (e.g., no bottomWidth for rectangular) causes a parameter error
- Zero or negative slope or flow values may cause bisection failure or undefined result
- Very flat slopes or extreme roughness values may cause slow or non-convergent bisection
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| inputrequired | object | |
| output | object |
Tags
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