{
  "capability_id": "physics.fluid.weber",
  "tool_id": "weber-number",
  "engine": "weber-number",
  "calculation_version": "1.0.0",
  "generated_at": "2026-09-17T08:49:50.939Z",
  "engine_build": "2026-09-17",
  "test_count": 17,
  "passed": 17,
  "failed": 0,
  "tests_summary": {
    "golden": {
      "total": 2,
      "passed": 2
    },
    "boundary": {
      "total": 10,
      "passed": 10
    },
    "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/weber-number",
  "api": "https://www.calculatorx.com/api/v1/calc/weber-number",
  "schema_input": "https://www.calculatorx.com/schemas/physics.fluid.weber.input.json",
  "schema_output": "https://www.calculatorx.com/schemas/physics.fluid.weber.output.json",
  "assumptions": [
    "Weber We = ρ v² L / σ",
    "Inertia vs surface tension; σ is interfacial tension, not viscosity μ",
    "Not Reynolds, not Froude, not Manning, not Q=Av, not capillary Ca=μv/σ"
  ],
  "limitations": [
    "Weber We = ρ v² L / σ",
    "Inertia vs surface tension; σ is interfacial tension, not viscosity μ",
    "Not Reynolds, not Froude, not Manning, not Q=Av, not capillary Ca=μv/σ"
  ],
  "boundary_conditions": [
    "missing ρ, v, L, σ, or We when required → MISSING_REQUIRED_INPUT",
    "ρ, v, L, σ, or We ≤ 0 → VALUE_MUST_BE_POSITIVE",
    "Re/μ/ν, Fr/g, n, C/R/S, A/Q → MIXED_INPUT_ENCODING",
    "reynolds, froude, or manning as mode → INVALID_MODE"
  ],
  "sources": [
    {
      "title": "ISO 80000-11 — Characteristic numbers",
      "section": "Weber number We",
      "supports": "We = ρ v² l / σ; inertia/surface-tension, not viscous Reynolds, not gravity Froude",
      "kind": "standard"
    },
    {
      "title": "ISO 80000-4 — Mechanics",
      "section": "Surface tension",
      "url": "https://www.iso.org/standard/31895.html",
      "supports": "σ has dimension force/length; v length/time; L length; ρ mass/volume",
      "kind": "standard"
    }
  ],
  "methods": [],
  "fingerprint": "sha256:b687685f53ddabe2c0be60fd58a59e6c87ad4b4d453286248d71c8d7e7fde52f",
  "tests": [
    {
      "id": "golden-we-value",
      "ok": true,
      "kind": "golden",
      "inputs": {
        "rho": 1000,
        "v": 1,
        "L": 0.072,
        "sigma": 0.072
      },
      "expect": {
        "We": 1000,
        "v": 1,
        "L": 0.072,
        "rho": 1000,
        "sigma": 0.072,
        "mode": "We",
        "model": "weber"
      },
      "expectWarning": null,
      "actual": {
        "mode": "We",
        "We": 1000.0000000000001,
        "v": 1,
        "L": 0.072,
        "rho": 1000,
        "sigma": 0.072,
        "model": "weber"
      },
      "tol": 1e-12
    },
    {
      "id": "golden-we-v",
      "ok": true,
      "kind": "golden",
      "inputs": {
        "mode": "velocity",
        "We": 1000,
        "rho": 1000,
        "L": 0.072,
        "sigma": 0.072
      },
      "expect": {
        "v": 1,
        "model": "weber"
      },
      "expectWarning": null,
      "actual": {
        "mode": "velocity",
        "We": 1000,
        "v": 1,
        "L": 0.072,
        "rho": 1000,
        "sigma": 0.072,
        "model": "weber"
      },
      "tol": 1e-12
    },
    {
      "id": "boundary-we-L",
      "ok": true,
      "kind": "boundary",
      "inputs": {
        "mode": "length",
        "We": 1000,
        "rho": 1000,
        "v": 1,
        "sigma": 0.072
      },
      "expect": {
        "L": 0.072,
        "model": "weber"
      },
      "expectWarning": null,
      "actual": {
        "mode": "length",
        "We": 1000,
        "v": 1,
        "L": 0.072,
        "rho": 1000,
        "sigma": 0.072,
        "model": "weber"
      },
      "tol": 1e-12
    },
    {
      "id": "boundary-we-sigma",
      "ok": true,
      "kind": "boundary",
      "inputs": {
        "mode": "sigma",
        "We": 1000,
        "rho": 1000,
        "v": 1,
        "L": 0.072
      },
      "expect": {
        "sigma": 0.072,
        "model": "weber"
      },
      "expectWarning": null,
      "actual": {
        "mode": "sigma",
        "We": 1000,
        "v": 1,
        "L": 0.072,
        "rho": 1000,
        "sigma": 0.072,
        "model": "weber"
      },
      "tol": 1e-12
    },
    {
      "id": "boundary-we-missing",
      "ok": true,
      "kind": "boundary",
      "inputs": {
        "rho": 1000,
        "L": 0.072,
        "sigma": 0.072
      },
      "expectError": "MISSING_REQUIRED_INPUT",
      "code": "MISSING_REQUIRED_INPUT",
      "error": "v is required"
    },
    {
      "id": "boundary-we-v0",
      "ok": true,
      "kind": "boundary",
      "inputs": {
        "rho": 1000,
        "v": 0,
        "L": 0.072,
        "sigma": 0.072
      },
      "expectError": "VALUE_MUST_BE_POSITIVE",
      "code": "VALUE_MUST_BE_POSITIVE",
      "error": "v must be greater than zero"
    },
    {
      "id": "boundary-we-Re",
      "ok": true,
      "kind": "boundary",
      "inputs": {
        "rho": 1000,
        "v": 1,
        "L": 0.072,
        "sigma": 0.072,
        "Re": 200000
      },
      "expectError": "MIXED_INPUT_ENCODING",
      "code": "MIXED_INPUT_ENCODING",
      "error": "Weber does not take Reynolds Re, μ, or ν. That is /calc/physics/reynolds. Do not send μ (that is capillary Ca)"
    },
    {
      "id": "boundary-we-Fr",
      "ok": true,
      "kind": "boundary",
      "inputs": {
        "rho": 1000,
        "v": 1,
        "L": 0.072,
        "sigma": 0.072,
        "Fr": 1
      },
      "expectError": "MIXED_INPUT_ENCODING",
      "code": "MIXED_INPUT_ENCODING",
      "error": "Weber does not take Froude Fr or g. That is /calc/physics/froude-number"
    },
    {
      "id": "boundary-we-mu",
      "ok": true,
      "kind": "boundary",
      "inputs": {
        "rho": 1000,
        "v": 1,
        "L": 0.072,
        "sigma": 0.072,
        "mu": 0.001
      },
      "expectError": "MIXED_INPUT_ENCODING",
      "code": "MIXED_INPUT_ENCODING",
      "error": "Weber does not take Reynolds Re, μ, or ν. That is /calc/physics/reynolds. Do not send μ (that is capillary Ca)"
    },
    {
      "id": "boundary-we-n",
      "ok": true,
      "kind": "boundary",
      "inputs": {
        "rho": 1000,
        "v": 1,
        "L": 0.072,
        "sigma": 0.072,
        "n": 0.013
      },
      "expectError": "MIXED_INPUT_ENCODING",
      "code": "MIXED_INPUT_ENCODING",
      "error": "Weber does not take Manning n or Chezy C/R/S"
    },
    {
      "id": "boundary-we-A",
      "ok": true,
      "kind": "boundary",
      "inputs": {
        "rho": 1000,
        "v": 1,
        "L": 0.072,
        "sigma": 0.072,
        "A": 1
      },
      "expectError": "MIXED_INPUT_ENCODING",
      "code": "MIXED_INPUT_ENCODING",
      "error": "Weber does not take Q=Av A/Q. That is /calc/physics/flow-rate"
    },
    {
      "id": "boundary-we-reynolds",
      "ok": true,
      "kind": "boundary",
      "inputs": {
        "rho": 1000,
        "v": 1,
        "L": 0.072,
        "sigma": 0.072,
        "mode": "reynolds"
      },
      "expectError": "INVALID_MODE",
      "code": "INVALID_MODE",
      "error": "mode must be We|velocity|length|sigma. Not Reynolds, Froude, Manning, or Q=Av"
    },
    {
      "id": "property-we-value",
      "ok": true,
      "kind": "property",
      "detail": "We=ρv²L/σ",
      "expect": 1000,
      "actual": 1000.0000000000001
    },
    {
      "id": "property-we-roundtrip-v",
      "ok": true,
      "kind": "property",
      "detail": "v invert",
      "expect": 1,
      "actual": 1
    },
    {
      "id": "property-we-roundtrip-L",
      "ok": true,
      "kind": "property",
      "detail": "L invert",
      "expect": 0.072,
      "actual": 0.072
    },
    {
      "id": "property-we-roundtrip-sigma",
      "ok": true,
      "kind": "property",
      "detail": "σ invert",
      "expect": 0.072,
      "actual": 0.072
    },
    {
      "id": "property-we-model",
      "ok": true,
      "kind": "property",
      "detail": "weber",
      "expect": true,
      "actual": "weber"
    }
  ],
  "tier": "engine_tested",
  "verification": {
    "tests": {
      "passed": 17,
      "total": 17,
      "golden": 2,
      "boundary": 10,
      "property": 5
    },
    "contract_checks": {
      "passed": 3,
      "total": 3
    }
  },
  "evidence_core_generated_at": "2026-09-17T07:09:31.087Z",
  "rendered_at": "2026-09-17T08:49:50.939Z",
  "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": "dbd0402b1341841a0462d20864bd331f1575d4d378da72aac7419186b8949152",
      "output_schema_sha256": "81966cd4b362872892078280aaa2a7adfa38b52de0f3f9cc5ae9eb42981d1e5b",
      "evidence_sha256": "fde88edcfb6bf999839373747bc6f7522bf843c4aed1cc5af82e1767a3b3e8fa",
      "evidence_core_sha256": "fde88edcfb6bf999839373747bc6f7522bf843c4aed1cc5af82e1767a3b3e8fa",
      "capability_sha256": "a2b200df8993209beb97e47d410b3af155529319f27cca74580a1d724d238b42",
      "engine_sha256": "0c0851fab70abbeebfe07916fc4e23f4718babe41882681bdfec8e4f0768b97f",
      "mcp_contract_sha256": "e444fb05e9379f4f2492792d89493686e8dd71c0a104ae00acbe73364b370c5c"
    },
    "contract_checks": {
      "total": 3,
      "passed": 3,
      "failed": 0,
      "items": [
        {
          "id": "release-artifacts-aligned",
          "status": "pass",
          "detail": "1.0.0"
        },
        {
          "id": "schema-valid-input-executes",
          "status": "pass"
        },
        {
          "id": "engine-success-output-validates-schema",
          "status": "pass"
        }
      ]
    },
    "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json"
  }
}
