Verified calculation capability

Minor loss Calculation Capability

Fitting minor loss h_m=K v²/(2g). Optional Δp=ρ g h_m. Invert K or v. Not Darcy, not Hazen–Williams, not orifice, not Q=Av, not equivalent length. · Physics · Fluid

Capability ID physics.fluid.minor_loss · version 1.0.0

Open calculator REST API MCP Evidence Evidence JSON Review policy

Model

Head loss

Head loss: h_m = K v² / (2g)
Pressure drop: Δp = ρ g h_m = ρ K v² / 2

Solve modes: head loss · K · velocity

Inputs / Outputs

Canonical symbols for this capability. Agent schemas remain the contract.

Symbol	Quantity	Unit	Role
`K`	Minor-loss coefficient. Required except K invert. Alias k.	—	input / output
`v`	Mean velocity in m/s. Required except velocity invert. Not Q from Q=Av.	—	input / output
`hm`	Minor-loss head in m. Required for K and velocity invert. Alternative: hf. Do not send with head_loss.	—	input / output
`rho`	Density in kg/m³. Optional; reports Δp = ρ g h_m.	—	input / output
`g`	Gravity in m/s². Default 9.80665.	—	input / output
`dP`	—	Pa	output
`model`	—	—	output

Assumptions / Validity

Declared scope for this capability. Do not use it outside this domain.

Assumptions

h_m = K v² / (2g); g = 9.80665 m/s² unless given
K is an empirical fitting coefficient; not Darcy f
Not equivalent length L_eq = K D / f
Not Hazen–Williams, not orifice, not Q=Av

Not supported

Darcy–Weisbach fL/D
equivalent length
Hazen–Williams
orifice
Q=Av
fitting catalogs

Example

One numerical check. The calculator page holds worked steps and FAQ.

K=0.5 v=2 → h_m=K v²/(2g)

Open this example in the calculator

Trust

Review-policy: engine tested — automated tests, sources, version lock, and evidence published. Supplemental to CVP; not Domain Expert Review. See CVP and Review policy.

Tier: Engine tested — catalog token engine_tested
Calculation version: 1.0.0
Evidence tests: 17/17 calculation tests · golden 2/2 · boundary 10/10 · property 5/5
Engine tested: Yes
Source checked: Yes
Supplemental domain review: Not performed
Named expert review: Not performed
Version lock: Supported (409 VERSION_MISMATCH)
Artifact consistency: Build verified · 1.0.0 (workspace artifacts agree)

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 PASS (0 stale; 163 CURRENT) @ 2026-09-17T06:27:56.932Z
Semantic contract: PASS
Evidence attested at: 2026-09-17T06:27:56.176Z
Last production check: 2026-09-17T06:27:56.176Z
Public / cache: PASS
Origin: PASS

Call this capability

Human page, REST, and MCP share the same engine and calculation_version. Build verified hashes workspace artifacts only. After deploy, attest:production GETs canonical URLs twice — the public/cached view an Agent actually hits, and origin — including every /capabilities/{id} HTML page. Public Capability HTML version must match catalog before production attestation passes. Live Trust rows above fetch /.well-known/calculatorx-production-attestation.json and the output schema const. Build hashes: release integrity. That proves currently published page / engine / schema / evidence / MCP agree — not that a historical version is independently immutable. Reference Calculation Standard — Production surface contract 3/3.

Tool id: minor-loss
Engine: minor-loss
REST: POST /api/v1/calc/minor-loss
MCP: execute_calculation with capability_id: "physics.fluid.minor_loss"
Agent input schema: Canonical (MCP / Agent)
Output schema: JSON Schema (latest)
Versioned input schema: Immutable pin (1.0.0)
Versioned output schema: Immutable pin (1.0.0)

References

Human-readable sources plus CVP reference evidence classes.

Sources

ISO 80000-4 — Mechanics — Hydraulic head and kinetic energy
White, F.M. Fluid Mechanics — Minor losses in pipe systems

Try with an agent

Inspect this capability via same-origin MCP, then call execute_calculation.

curl -sS -X POST 'https://www.calculatorx.com/mcp' \
  -H 'Content-Type: application/json' \
  -H 'MCP-Protocol-Version: 2026-07-28' \
  -H 'Mcp-Method: tools/call' \
  -H 'Mcp-Name: inspect_capability' \
  -d '{"jsonrpc":"2.0","id":1,"method":"tools/call","params":{"name":"inspect_capability","arguments":{"capability_id":"physics.fluid.minor_loss"}}}'

Inspect the trust tier and required assurance level before execution. Pin calculation_version (1.0.0) when reproducibility matters. Full protocol notes: MCP docs.