Public evidence

physics.fluid.bernoulli

Machine-checked verification for calculation version 1.0.1 · tier expert_verified

Open calculator API Capability Download JSON CVP Manifest MCP Review policy

CVP status

Incompressible inviscid steady streamline

Declared partition coverage: PASS · 2/2 declared partitions (bernoulli, invalid-domain)
Versions: Calculation 1.0.1 · CVP protocol 1.0.0-proposed
CVP identity: 1/1 property · digest e5115f75bbb9

Verification

Legacy regression suite: 3/3 calculation tests · Production surface contract 6/6

Three distinct suites: educational examples on the calculator page, this legacy regression count (3/3 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 1.0.1 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓

CVP verification suite

Protocol checks from the Evidence Manifest. Distinct from the legacy regression suite above. Calculation version 1.0.1. CVP 1.0.0-proposed. 1/1 golden · 1/1 CVP boundary · 1/1 invalid · 1/1 property · 1/1 cross-interface · 6/6 CVP contract. digest e5115f75bbb9.

Golden (oracle-backed) 1 / 1
CVP boundary 1 / 1
Invalid input 1 / 1
Property 1 / 1
Cross-interface 1 / 1
CVP contract 6 / 6
Interfaces PASS · UI (SSR) / REST / MCP
Interface claim ui-ssr is query-result HTML, not a live browser session.
Assurance Engineering

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:ec63f37414e68eca361698256ec8689eb297c2a09813a7dc1a10afbcfebb2c5e

Input schema sha256:6aed22329357ae04284175b115baf0755424357d0737edc38fd15a53bcdf3adf · Output schema sha256:5141ccd98ea52ff03ac8ec63286820c7beac98cd0be9143b0d24d64eec9c8d10 · 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: bernoulli
Engine: bernoulli
Engine build: 2026-09-21
Evidence core: 2026-09-21T15:54:02.547Z
Rendered: 2026-09-21T16:00:36.089Z
Last reviewed: 2026-08-09

Limitations

Incompressible; inviscid; steady streamline; no losses

Sources

Standards and references supporting this tool specification. Methods are listed separately — they are algorithms, not bibliographic sources.

Fluid mechanics textbooks — Bernoulli equation
Supports: P/ρ+v²/2+gh
ISO 80000-4 / fluid mechanics practice — Bernoulli equation
Supports: P/ρ + v²/2 + g h = const

Legacy published checks

Golden and boundary cases from the legacy Evidence JSON. CVP property, metamorphic, round-trip, O3, and interface statuses/checks are recorded in the Manifest — including SKIP when a suite has no vectors.

ID	Kind	Status	Detail
`p2`	golden	pass	Expected P2_Pa=199391.5 · Actual mode=P2 · rho_kg_m3=1000 · g_m_s2=9.80665 · P1_Pa=101325 · v1_m_s=0 · h1_m=10 · P2_Pa=199391.5 · v2_m_s=0
`bad`	boundary	pass	Expected VALUE_OUT_OF_RANGE · Actual VALUE_OUT_OF_RANGE
`property-hydrostatic`	property	pass	ρgh