Public evidence

physics.fluid.specific_energy

Machine-checked verification for calculation version 1.0.0 · tier engine_tested

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Verification

17/17 calculation tests · Production surface contract 3/3

Golden tests 2 / 2
Boundary tests 10 / 10
Property tests 5 / 5
Production surface contract 3 / 3
Engine tested Yes
Source checked Yes
Artifact integrity PASS
Production attestation Embedded snapshot: STALE · Last attested schema matched 1.0.0 snapshot / local build · Semantic contract ✓ · Last attestation PASS · current evidence changed · re-attestation required · Public/cache ✓ · Origin ✓ · Live production status PASS (0 stale; 163 CURRENT) @ 2026-09-17T09:03:11.906Z
Semantic contract PASS
Evidence attested at 2026-09-17T09:03:11.074Z
Last production check 2026-09-17T09:03:11.074Z
Public / cache PASS
Origin PASS
Supplemental domain review Not performed
Named expert review Not performed

release artifacts aligned PASS
schema valid input executes PASS
engine success output validates schema PASS

Fingerprint sha256:3d8a44aacc588095049cf010035958932598abd380ff7bd5e847832d35449ddc

Input schema sha256:99ebbe504852be356d8b50c68278b5b8319290c28246f89d3c685bff1f06b3e8 · Output schema sha256:b5c373af8cd3ad35d3f0c9733ef549cdd4447de617b080b2841b4838f24ec341 · Build-time SHA-256 digests prove published artifacts agree with each other (release_integrity.scope=workspace). Production attestation GETs canonical URLs twice (public/cached view and origin), including Capability HTML, via npm run attest:production --write (published at /.well-known/calculatorx-production-attestation.json) and fails if the public Capability page advertises a different calculation_version. This is artifact consistency, not an independent immutable release log.

Build & scope

Engine identity and declared limitations.

Tool: specific-energy
Engine: specific-energy
Engine build: 2026-09-17
Evidence core: 2026-09-17T08:22:37.002Z
Rendered: 2026-09-17T08:49:50.940Z
Last reviewed: —

Assumptions

Open-channel specific energy: E = y + v² / (2g); default g=9.80665 m/s²
Invert y = E − v²/(2g) and v = √(2g(E−y)); require E > y
Not a Froude wrap, not a hydraulic jump, not Manning, not Q=Av

Limitations

Open-channel specific energy: E = y + v² / (2g); default g=9.80665 m/s²
Invert y = E − v²/(2g) and v = √(2g(E−y)); require E > y
Not a Froude wrap, not a hydraulic jump, not Manning, not Q=Av

Sources

Standards and references supporting this tool specification. Methods are listed separately — they are algorithms, not bibliographic sources.

ISO 80000-4 — Mechanics — Energy, length, speed
Supports: E and y are lengths; v is speed; g is acceleration
Chow, V.T. Open-Channel Hydraulics — Specific energy
Supports: E = y + v²/(2g) for a rectangular channel with hydrostatic pressure

Published checks

Golden, boundary, and property cases included in this evidence build.

ID	Kind	Status	Detail
`golden-se-E`	golden	pass	Expected y=1 · v=2 · E=1.2039432425955856 · mode=energy · model=specific_energy · Actual mode=energy · E=1.2039432425955856 · y=1 · v=2 · g=9.80665 · model=specific_energy
`golden-se-v`	golden	pass	Expected v=2 · model=specific_energy · Actual mode=velocity · E=1.2039432425955856 · y=1 · v=1.9999999999999998 · g=9.80665 · model=specific_energy
`boundary-se-y`	boundary	pass	Expected y=1 · model=specific_energy · Actual mode=depth · E=1.2039432425955856 · y=1 · v=2 · g=9.80665 · model=specific_energy
`boundary-se-missing`	boundary	pass	Expected MISSING_REQUIRED_INPUT · Actual MISSING_REQUIRED_INPUT
`boundary-se-Ey`	boundary	pass	Expected VALUE_OUT_OF_RANGE · Actual VALUE_OUT_OF_RANGE
`boundary-se-Fr`	boundary	pass	Expected MIXED_INPUT_ENCODING · Actual MIXED_INPUT_ENCODING
`boundary-se-n`	boundary	pass	Expected MIXED_INPUT_ENCODING · Actual MIXED_INPUT_ENCODING
`boundary-se-A`	boundary	pass	Expected MIXED_INPUT_ENCODING · Actual MIXED_INPUT_ENCODING
`boundary-se-y1`	boundary	pass	Expected MIXED_INPUT_ENCODING · Actual MIXED_INPUT_ENCODING
`boundary-se-L`	boundary	pass	Expected MIXED_INPUT_ENCODING · Actual MIXED_INPUT_ENCODING
`boundary-se-froude`	boundary	pass	Expected INVALID_MODE · Actual INVALID_MODE
`boundary-se-zero`	boundary	pass	Expected VALUE_MUST_BE_POSITIVE · Actual VALUE_MUST_BE_POSITIVE
`property-se-E`	property	pass	E=y+v²/(2g)
`property-se-roundtrip-y`	property	pass	y invert
`property-se-roundtrip-v`	property	pass	v invert
`property-se-gt`	property	pass	E>y
`property-se-model`	property	pass	specific_energy