{
  "capability_id": "physics.fluid.iso_nozzle",
  "tool_id": "iso-nozzle",
  "engine": "iso-nozzle",
  "calculation_version": "1.0.0",
  "generated_at": "2026-09-17T23:36:55.416Z",
  "engine_build": "2026-09-17",
  "test_count": 5,
  "passed": 5,
  "failed": 0,
  "tests_summary": {
    "golden": {
      "total": 0,
      "passed": 0
    },
    "boundary": {
      "total": 0,
      "passed": 0
    },
    "property": {
      "total": 5,
      "passed": 5
    }
  },
  "engine_tested": true,
  "expert_reviewed": false,
  "internally_reviewed": false,
  "review_kind": null,
  "source_checked": true,
  "reviewed_by": null,
  "reviewer_role": null,
  "last_reviewed": null,
  "expert_review": {
    "status": "optional_not_performed",
    "reviewer": null,
    "scope": [
      "formula",
      "input semantics",
      "assumptions",
      "limitations",
      "sources",
      "tests"
    ],
    "note": "Domain expert review is optional under CVP (CVP-EXP-01). Absence does not block CVP Verified. See Review policy for supplemental domain assurance."
  },
  "internal_review": {
    "status": "not_applicable",
    "reviewer": null
  },
  "page": "https://www.calculatorx.com/calc/physics/iso-nozzle",
  "api": "https://www.calculatorx.com/api/v1/calc/iso-nozzle",
  "schema_input": "https://www.calculatorx.com/schemas/physics.fluid.iso_nozzle.input.json",
  "schema_output": "https://www.calculatorx.com/schemas/physics.fluid.iso_nozzle.output.json",
  "assumptions": [
    "ISO 5167-3 ISA 1932 nozzle: Q = C E A2 √(2Δp/ρ); C from β and Re_D; incompressible ε=1; C is reported, not an input",
    "C = 0.9900 − 0.2262 β^4.1 − (0.00175 β² − 0.0033 β^4.15)(10^6/Re_D)^1.15; β∈[0.30,0.80]; Re_D∈[7e4,1e7]; D≥50 mm",
    "Not a venturi wrap with given C_d=0.98, not orifice C_d=0.61, not Q=Av, not Darcy f, not compressible ε"
  ],
  "limitations": [
    "ISO 5167-3 ISA 1932 nozzle: Q = C E A2 √(2Δp/ρ); C from β and Re_D; incompressible ε=1; C is reported, not an input",
    "C = 0.9900 − 0.2262 β^4.1 − (0.00175 β² − 0.0033 β^4.15)(10^6/Re_D)^1.15; β∈[0.30,0.80]; Re_D∈[7e4,1e7]; D≥50 mm",
    "Not a venturi wrap with given C_d=0.98, not orifice C_d=0.61, not Q=Av, not Darcy f, not compressible ε"
  ],
  "boundary_conditions": [
    "missing D1, D2/beta, Re_D, Δp, Q, or ρ when required → MISSING_REQUIRED_INPUT",
    "D1 < 50 mm, β outside [0.30,0.80], or Re_D outside [7e4,1e7] → VALUE_OUT_OF_RANGE",
    "C_d given, orifice d+D, A or v, Darcy f, μ, tank H, Cv/Kv, K, ε, kind → MIXED_INPUT_ENCODING",
    "mode=Cd or unknown mode → INVALID_MODE"
  ],
  "sources": [
    {
      "title": "ISO 80000-4 — Mechanics",
      "section": "Length, speed, pressure",
      "url": "https://www.iso.org/standard/31895.html",
      "supports": "D is a length; Q is a volume flow; Δp is a pressure",
      "kind": "standard"
    },
    {
      "title": "ISO 5167-3 — Measurement of fluid flow by means of pressure differential devices — Nozzles and Venturi nozzles",
      "section": "ISA 1932 nozzle discharge coefficient",
      "url": "https://www.iso.org/standard/23624.html",
      "supports": "C from β and Re_D. Not a venturi with given C_d, not an orifice plate",
      "kind": "standard"
    }
  ],
  "methods": [],
  "fingerprint": "sha256:fab423a59c47d9c888351c8f23520f4d7621667abdafcb6b05c8aa2c4cf02fa8",
  "tests": [
    {
      "id": "property-nozzle-C",
      "ok": true,
      "kind": "property",
      "detail": "ISA 1932 C(β,Re)",
      "expect": 0.9765576289900618,
      "actual": 0.9765576289900618
    },
    {
      "id": "property-nozzle-Q",
      "ok": true,
      "kind": "property",
      "detail": "Q=C E A2 √(2Δp/ρ)",
      "expect": 0.008856398033001247,
      "actual": 0.008856398033001247
    },
    {
      "id": "property-nozzle-not-venturi",
      "ok": true,
      "kind": "property",
      "detail": "C≠0.98",
      "expect": 0.98,
      "actual": 0.9765576289900618
    },
    {
      "id": "property-nozzle-roundtrip-dP",
      "ok": true,
      "kind": "property",
      "detail": "Δp invert",
      "expect": 10000,
      "actual": 10000.000000000002
    },
    {
      "id": "property-nozzle-model",
      "ok": true,
      "kind": "property",
      "detail": "iso_5167_3_isa1932",
      "expect": true,
      "actual": "iso_5167_3_isa1932"
    }
  ],
  "tier": "engine_tested",
  "verification": {
    "tests": {
      "passed": 5,
      "total": 5,
      "golden": 0,
      "boundary": 0,
      "property": 5
    },
    "contract_checks": {
      "passed": 1,
      "total": 1
    }
  },
  "evidence_core_generated_at": "2026-09-17T22:49:22.649Z",
  "rendered_at": "2026-09-17T23:36:55.416Z",
  "release_integrity": {
    "status": "verified",
    "scope": "workspace",
    "production_attestation_required": true,
    "calculation_version": "1.0.0",
    "artifacts": {
      "engine": "1.0.0",
      "page": "1.0.0",
      "capability": "1.0.0",
      "evidence": "1.0.0",
      "input_schema": "1.0.0",
      "output_schema": "1.0.0",
      "mcp_contract": "1.0.0"
    },
    "digests": {
      "input_schema_sha256": "2d4dbd4962baab84aaf88c1e9a47004e26093e47228fe0815f1d4875e02202b3",
      "output_schema_sha256": "658dac1761c1fd399b88615c8c8bd3133e81eaee27c6ced4e511c8f3cacc9560",
      "evidence_sha256": "9e4ff57c0c89d23381ba14fb739ce372fbfbd54e35add3ce6d58029c0bb47e09",
      "evidence_core_sha256": "9e4ff57c0c89d23381ba14fb739ce372fbfbd54e35add3ce6d58029c0bb47e09",
      "capability_sha256": "73306f28ba39bd3ef490ed7bd84892850612ff88175cb92043800a67f5131f22",
      "engine_sha256": "b7c3aca91b2557e4d6100a71a568bf182a40a247b6a6255250ffed7abdd5b222",
      "mcp_contract_sha256": "ce21ef7f0cc0110d86305c8a48f9a38634c8eef898205199708cf93562a6eab3"
    },
    "contract_checks": {
      "total": 1,
      "passed": 1,
      "failed": 0,
      "items": [
        {
          "id": "release-artifacts-aligned",
          "status": "pass",
          "detail": "1.0.0"
        }
      ]
    },
    "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json"
  }
}