Verified calculation capability

Thermal resistance Calculation Capability

Lumped thermal resistance. Conduction R=L/(k A), convection R=1/(h A), series ΣR, parallel 1/R=Σ1/R_i. Optional Q=ΔT/R. Not Fourier/Newton Q, not heatsink θ, not steam, not radiation. · Physics · Thermo

Capability ID physics.thermo.thermal_resistance · version 1.0.0

Open calculator REST API MCP Evidence Evidence JSON Review policy

Model

Conduction

Conduction: R = L / (k A)
Convection: R = 1 / (h A)
Series: R = Σ R_i
Parallel: 1/R = Σ 1/R_i
Heat rate: Q = ΔT / R

Solve modes: conduction · convection · series · parallel

Inputs / Outputs

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

Symbol	Quantity	Unit	Role
`k`	Conductivity in W/(m·K). Required for conduction.	—	input / output
`h`	Convection coefficient in W/(m²·K). Required for convection.	—	input / output
`A`	Area in m². Required for conduction and convection.	—	input / output
`L`	Thickness in m. Required for conduction.	—	input / output
`R1`	First resistance in K/W. Alternative: resistances[].	—	input
`R2`	Second resistance in K/W.	—	input
`resistances`	Resistance list in K/W. Alternative: R1…R8. Do not send both.	—	input
`dT`	Optional temperature difference in K. If given, Q=ΔT/R.	—	input / output
`R`	—	—	output
`Q`	—	—	output
`n`	amount of substance	—	output
`model`	—	—	output

Assumptions / Validity

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

Assumptions

Lumped thermal resistances; SI K/W
Series R=ΣR_i; parallel 1/R=Σ1/R_i; Q=ΔT/R
Not Fourier/Newton Q pages
Not heatsink θ, not steam, not radiation

Not supported

Fourier/Newton Q as the primary product
heatsink θJC/θSA
steam
radiation
transient Zth
CFD

Example

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

k=1 A=2 L=0.5 → R=0.25 K/W

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: 16/16 calculation tests · golden 1/1 · boundary 9/9 · property 6/6
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) @ 2026-09-17T03:09:03.307Z
Semantic contract: PASS
Evidence attested at: 2026-09-17T03:09:02.494Z
Last production check: 2026-09-17T03:09:02.494Z
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: thermal-resistance
Engine: thermal-resistance
REST: POST /api/v1/calc/thermal-resistance
MCP: execute_calculation with capability_id: "physics.thermo.thermal_resistance"
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

Incropera, F.P. and DeWitt, D.P. Fundamentals of Heat and Mass Transfer — Thermal resistance networks
ISO 80000-5 — Thermodynamics — Heat rate and temperature difference

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.thermo.thermal_resistance"}}}'

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