Public evidence

physics.fluid.mitered_bend

Machine-checked verification for calculation version 1.0.0 · tier engine_tested

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Verification

15/15 calculation tests · Production surface contract 3/3

Golden tests 2 / 2
Boundary tests 8 / 8
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; 164 CURRENT) @ 2026-09-17T15:07:30.016Z
Semantic contract PASS
Evidence attested at 2026-09-17T15:07:29.295Z
Last production check 2026-09-17T15:07:29.295Z
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 sha256:99f9511326866f2162f5a6a1603582896c69b5adebc5d3e4db16e25ed2dd8fc4

Input schema sha256:2a585ff14b0fb55cb0fca1fbcb79a7b0a1bf7878c9933b4ae746e820b325be78 · Output schema sha256:dcdb1f5772e168f21be9b20a55b03a3221938604bcfd7843f5c05b99e5cc2528 · 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: mitered-bend
Engine: mitered-bend
Engine build: 2026-09-17
Evidence core: 2026-09-17T14:07:06.837Z
Rendered: 2026-09-17T14:46:34.520Z
Last reviewed: —

Assumptions

Sharp segmented miter: h = K v² / (2g); K = n [sin²(δ/2) + 2 sin⁴(δ/2)], δ = θ/n; K is reported, not an input
Require n ≥ 1 integer, 0 < θ ≤ 180°, and each miter δ ≤ 90° (n=1 therefore θ ≤ 90°); default g=9.80665 m/s²; default ρ=1000 kg/m³; incompressible
Not circular-arc R/D, not minor-loss K given, not Crane f_T, not Darcy f, not orifice C_d, not Q=Av

Limitations

Sharp segmented miter: h = K v² / (2g); K = n [sin²(δ/2) + 2 sin⁴(δ/2)], δ = θ/n; K is reported, not an input
Require n ≥ 1 integer, 0 < θ ≤ 180°, and each miter δ ≤ 90° (n=1 therefore θ ≤ 90°); default g=9.80665; default ρ=1000 for Δp; incompressible
Not circular-arc R/D, not minor-loss K given, not Crane f_T, not Darcy f, not orifice C_d, 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 — Length, speed, pressure, plane angle
Supports: h is a head; v is a speed; Δp is a pressure; θ is a plane angle
Idelchik — Handbook of Hydraulic Resistance — Sharp-edged / mitered elbows
Supports: Preliminary sharp-miter estimate ζ = sin²(δ/2) + 2 sin⁴(δ/2) per miter; n equal miters sum. Not circular-arc B1, not Crane f_T

Published checks

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

ID	Kind	Status	Detail
`golden-mit-h`	golden	pass	Expected n=1 · h=0.2039432425955856 · v=2 · K=0.9999999999999997 · dP=1999.9999999999993 · mode=head · model=segmented_miter · Actual n=1 · mode=head · h=0.2039432425955856 · v=2 · K=0.9999999999999997 · theta=1.5707963267948966 · theta_deg=90 · g=9.80665
`golden-mit-dP`	golden	pass	Expected dP=1999.9999999999993 · model=segmented_miter · Actual n=1 · mode=pressure · h=0.2039432425955856 · v=2 · K=0.9999999999999997 · theta=1.5707963267948966 · theta_deg=90 · g=9.80665
`boundary-mit-v`	boundary	pass	Expected v=2 · model=segmented_miter · Actual n=1 · mode=velocity · h=0.2039432425955856 · v=2 · K=0.9999999999999997 · theta=1.5707963267948966 · theta_deg=90 · g=9.80665
`boundary-mit-theta`	boundary	pass	Expected theta_deg=90 · model=segmented_miter · Actual n=1 · mode=angle · h=0.2039432425955856 · v=2 · K=0.9999999999999997 · theta=1.5707963267948963 · theta_deg=89.99999999999999 · g=9.80665
`boundary-mit-missing`	boundary	pass	Expected MISSING_REQUIRED_INPUT · Actual MISSING_REQUIRED_INPUT
`boundary-mit-K`	boundary	pass	Expected MIXED_INPUT_ENCODING · Actual MIXED_INPUT_ENCODING
`boundary-mit-rd`	boundary	pass	Expected MIXED_INPUT_ENCODING · Actual MIXED_INPUT_ENCODING
`boundary-mit-mode`	boundary	pass	Expected INVALID_MODE · Actual INVALID_MODE
`boundary-mit-zero`	boundary	pass	Expected VALUE_MUST_BE_POSITIVE · Actual VALUE_MUST_BE_POSITIVE
`boundary-mit-wide`	boundary	pass	Expected VALUE_OUT_OF_RANGE · Actual VALUE_OUT_OF_RANGE
`property-mit-h`	property	pass	h=K v²/(2g)
`property-mit-K`	property	pass	K=n [sin²(δ/2)+2 sin⁴(δ/2)]
`property-mit-roundtrip-v`	property	pass	v invert
`property-mit-roundtrip-t`	property	pass	θ invert
`property-mit-model`	property	pass	segmented_miter