physics.fluid.long_radius_nozzle

Three distinct suites: educational examples on the calculator page, this legacy regression count (6/6 golden + boundary), and the CVP verification suite below. They are not the same number. Property, metamorphic, round-trip, O3, and interface statuses/checks are recorded in the CVP Manifest . SKIP (0/0) means that suite has no published vectors.

This calculator CURRENT · Public schema 1.0.0 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓

CVP verification suite

Protocol checks from the Evidence Manifest. Distinct from the legacy regression suite above. Verification revision 2026-09-27.o2-o3. Calculation version 1.0.0. CVP 1.0.0-proposed. 4/4 golden · 1/1 CVP boundary · 2/2 invalid · 1/1 property · 1/1 metamorphic · 8/8 O3 · 2/2 cross-interface · 6/6 CVP contract. digest 9450cb78bedf. O2: ISO 5167-3 long-radius Q=C E A2 √(2Δp/ρ), C=0.9965−0.00653√β vs a separate-module identity (≤2 ULP). Not ISA 1932, not given C_d, not RHG orifice, not ISO 5167-4 type C, not Q=Av, and not Darcy. ≤2 ULP vs O3 applies only to the published tabulated long-radius-nozzle vectors. Not ISA 1932, not given C_d, not RHG orifice, not venturi type C, and not Q=Av.

• Golden (oracle-backed) 4 / 4
• CVP boundary 1 / 1
• Invalid input 2 / 2
• Property 1 / 1
• Metamorphic 1 / 1
• O3 high-precision 8 / 8
• Cross-interface 2 / 2
• CVP contract 6 / 6
• Interfaces PASS · UI (SSR) / REST / MCP
• Interface claim ui-ssr is query-result HTML, not a live browser session. Error-path engine·REST·MCP 1/1 (status, code, calculation_version). SSR compared on URL-canonical requested calculations; empty query is idle (not an error) and JSON-typed object/array inputs are REST/MCP-only.
• Verified scope Q = C E A2 √(2Δp/ρ) with C = 0.9965 − 0.00653 √β; plus pressure and coefficient solves; + O3 mpmath tabulated discharge.
• Assurance Engineering
• Deferred Not ISA 1932, not given C_d, not RHG orifice, not ISO 5167-4 type C, not Q=Av, not Darcy, not compressible ε.

• release artifacts aligned PASS
• schema output required declared PASS
• schema valid input executes PASS
• engine success output validates schema PASS
• schema rejects incomplete input PASS
• rest success payload validates schema PASS

Fingerprint sha256:f1c9c3e812623956472637b02b1b0522f96e913ba73b9a1f9cceff1cc43ea12b

Input schema sha256:dd6f154a970456e052db12f8e4d9185c69ce255cb185d85ad764596c98605c15 · Output schema sha256:e1ece152967fcac4c131ec4208f7bbab8d1b43815b0bf3306ab90d6cf94a05f1 · 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

long-radius-nozzle

Engine

long-radius-nozzle

Engine build

2026-09-24

Evidence core

2026-09-24T02:12:38.088Z

Rendered

2026-11-10T05:18:41.968Z

Last reviewed

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Assumptions

• ISO 5167-3 long-radius nozzle: Q = C E A2 √(2Δp/ρ); C = 0.9965 − 0.00653 β^{0.5}; incompressible ε=1; C is reported, not an input
• C from β, not Re_D; Re_D∈[1e4,1e7] is the ISO envelope; β∈[0.20,0.80]; D∈[50 mm, 630 mm]
• Not ISA 1932 C(β,Re), not given C_d=0.98, not RHG orifice, not ISO 5167-4 type C, not Q=Av, not Darcy f, not compressible ε

Limitations

• ISO 5167-3 long-radius nozzle: Q = C E A2 √(2Δp/ρ); C = 0.9965 − 0.00653 β^{0.5}; incompressible ε=1; C is reported, not an input
• C from β, not Re_D; Re_D∈[1e4,1e7] is the ISO envelope; β∈[0.20,0.80]; D∈[50 mm, 630 mm]
• Not ISA 1932 C(β,Re), not given C_d=0.98, not RHG orifice, not ISO 5167-4 type C, not Q=Av, not Darcy f, not compressible ε