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Hydrology & Open-Channel Calc – Froude Number
x402
Hydrology & Open-Channel Calc – Froude Number is a paid API for AI agents from hydrology-calc.x402tookit.com, paid per call via x402, $0.02/call, status unknown (last checked 2026-11-02).
Computes the Froude number (V / sqrt(g·A/T)) and classifies the flow regime (subcritical, critical, or supercritical) for rectangular, trapezoidal, triangular, or circular open-channel sections.
Price / call$0.02
Success—
StatusUnknown
How this service works
Froude number V / sqrt(g A/T) and flow regime (subcritical, critical, supercritical) for an open-channel section.
Output
Returns the computed Froude number, flow regime classification (subcritical, critical, or supercritical), cross-sectional flow area, top width, wave celerity, velocity, and a plain-language summary — plus any applicable disclaimer and degraded/not-checked flags.
Example use cases
Drainage channel flow regime check
“I'm designing a trapezoidal drainage channel with a bottom width of 2 m, side slopes of 1.5 horizontal per 1 vertical, a flow depth of 1.2 m, and a discharge of 8 m³/s — can you tell me the Froude number and whether the flow is subcritical or supercritical?”
Circular culvert hydraulic classification
“For a circular culvert with a 1.2-metre diameter flowing at a depth of 0.9 m and a mean velocity of 3.5 m/s in SI units, what is the Froude number and what flow regime does that correspond to?”
US customary triangular channel analysis
“Compute the Froude number for a triangular channel with side slopes of 2 horizontal to 1 vertical, a flow depth of 2.5 feet, and a discharge of 30 ft³/s using US customary units — is the flow subcritical, critical, or supercritical?”
Technical details
Endpoint
GEThttps://hydrology-calc.x402tookit.com/froude-number?utm_source=zero.xyzWhen to prefer
Choose this endpoint when you need a direct, paid-per-call computation of the Froude number and flow regime for standard open-channel cross-sections (rectangular, trapezoidal, triangular, circular) without building your own hydraulic solver. It is part of a suite of hydrology tools on the same host, so prefer it alongside the Manning flow, critical depth, and normal depth endpoints for comprehensive open-channel analysis workflows.
Side effects
- Missing required query parameters (shape or depth) returns a 400 error
- Providing neither flow nor velocity results in an error since one is required
- Circular shape missing diameter parameter causes an error
- Invalid shape string (not rectangular, trapezoidal, triangular, or circular) returns error
- Depth exceeding pipe diameter for circular section may return a bounds error
- Payment failure or insufficient USDC balance returns a 402 Payment Required response
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| inputrequired | object | |
| output | object |
Tags
x402
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