physics.fluid.pipe_wye

• Golden tests 0 / 0
• Boundary tests 0 / 0
• Property tests 6 / 6
• Production surface contract 1 / 1
}
• 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 STALE (1 capability; 163 remain CURRENT) @ 2026-09-17T23:16:16.380Z
• Semantic contract PASS
• Evidence attested at 2026-09-17T23:04:34.157Z
• Last production check 2026-09-17T23:04:34.157Z
• Public / cache PASS
• Origin PASS
• Supplemental domain review Not performed
• Named expert review Not performed

• release artifacts aligned PASS

Fingerprint sha256:eb3bfb4c8eb0d8ff824203a1aafad6284047a2332244097284f2f88d7abaf668

Input schema sha256:e9eeadaff4dcae28fd88a8b7d595639bb3d9cd6ff8eba7bf63e2f9db2ce621bb · Output schema sha256:f2c63780fb2cf7059dcc3ae3f0f0f392d09da8d392126a9caab953afc1d8bf67 · 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.

Tool

pipe-wye

Engine

pipe-wye

Engine build

2026-09-17

Evidence core

2026-09-17T22:06:58.051Z

Rendered

2026-09-17T23:36:55.415Z

Last reviewed

—

Assumptions

• Equal-area sharp wye: h = K v_c² / (2g); K referenced to common-channel speed; α ∈ (0, 90°); K is reported, not an input
• Branch K=1+q²−2q cos α. Dividing run K=0.4(1−q)². Combining run K=1−q²−2q(1−q)cos α. q=Q_path/Q_c in [0,1]; default g=9.80665 m/s²; default ρ=1000 kg/m³
• Not a 90° tee, not catalog minor-loss K given, not circular-arc R/D, not mitered n, not pipe-entrance geometry, not pipe-exit K=1, not Q=Av

Limitations

• Equal-area sharp wye: h = K v_c² / (2g); K referenced to common-channel speed; α ∈ (0, 90°); K is reported, not an input
• Branch K=1+q²−2q cos α. Dividing run K=0.4(1−q)². Combining run K=1−q²−2q(1−q)cos α. q=Q_path/Q_c in [0,1]; default g=9.80665; default ρ=1000 for Δp
• Not a 90° tee, not catalog minor-loss K given, not circular-arc R/D, not mitered n, not pipe-entrance geometry, not pipe-exit K=1, not Q=Av