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Physics calculator

Heat Transfer Calculator

Compute conductive Q=kAΔT/L or convective Q=hAΔT heat transfer rate. Runs locally in your browser.

Instant result
Result

Enter values to calculate.

Inputs
Mode
Formula
Trust summary CVP VERIFIED · CVP protocol 1.0.0-proposed · Engineering assurance
Input interpretation
Enter values to calculate.
Result
Assurance
Engineering
Declared partition coverage
PASS · 2/2 declared partitions (heat-transfer, invalid-domain) · Matrix
Known limitations
  • Steady conduction / Newton cooling
  • Core CVP does not include live graph, viewport, or pointer interaction.
Model
Conduction or convection heat rate.
Scope
1-D steady state
Verification
Engine tested · Source checked · v1.0.0 · CVP VERIFIED · CVP protocol 1.0.0-proposed · Engineering assurance· View Manifest · CVP overview · Specification
Versions
Calculation 1.0.0 · CVP protocol 1.0.0-proposed
CVP identity
1/1 property · digest 177d27704797
Legacy regression
4/4 tests · Production surface contract 4/4
Reference
O1 model · O2 expected_values · O2 numerical_behavior
Interfaces
PASS · UI (SSR) / REST / MCP — ui-ssr is query-result HTML, not a live browser session.
Supplemental domain review
Internal · Pass
Named expert review
Not performed
CVP suite
1/1 golden · 1/1 CVP boundary · 1/1 invalid · 1/1 property · 1/1 cross-interface · 1/1 CVP contract · Manifest
Sources
  • Incropera heat transfer basics — Conduction / convection rates
  • ISO 80000-5 / heat transfer practice — Conduction and convection
Sources
Evidence
2 legacy golden · 1 legacy boundary · legacy regression suite · 1/1 oracle-backed golden · 1/1 invalid · Artifact integrity PASS · CalculatorX electrical review
This calculator CURRENT · Public schema 1.0.0 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓
Semantic contract
PASS
Full verification

Manifest identity, reference classes, interfaces, suite, and production records.

Formulas

Core equations used by this calculator.

ConductionQ = k·A·ΔT/L
ConvectionQ = h·A·ΔT
i1-D steady state. Not radiation or CFD.

How to use

1

Choose conduction or convection mode

Conduction needs k and L; convection needs h.

2

Enter area and temperature difference

A > 0 and ΔT as labeled on the form.

3

Read heat transfer rate Q

Conduction: Q = k·A·ΔT/L. Convection: Q = h·A·ΔT.

Example calculations

Common configurations with formula and result.

ϟ

k=1 A=1 ΔT=10 L=0.1

conduction

1·1·10/0.1
100 W

Heat Transfer calculator specification

Version 1.0.0 · Engine tested · Supplemental domain review · Internal · 2026-08-09

Calculation status

Review policy · Evidence · Reviewed by CalculatorX electrical review

Definition
Fourier conduction: Q = k·A·ΔT/L. Newton cooling: Q = h·A·ΔT. Steady-state rates in watts.
What it calculates
Conduction or convection heat rate.
Inputs
  • mode
  • A
  • dT
  • k,L or h
Outputs
  • Q_W
Formula
Q=kAΔT/L
Assumptions
  • 1-D steady state
Units
  • W, m², K, W/m·K
Boundary conditions
  • dT=0 → VALUE_MUST_BE_POSITIVE
  • geometry ≤0 → VALUE_MUST_BE_POSITIVE
Example
k=1 A=1 dT=10 L=0.1 → 100 W
Validation cases

1 published on this page · 4/4 tests · Production surface contract 4/4 · View evidence

  • conduction k=1 A=1 dT=10 L=0.1 → Q=100
Sources
  • Incropera heat transfer basics — Conduction / convection rates
    Supports: Fourier / Newton cooling
  • ISO 80000-5 / heat transfer practice — Conduction and convection
    Supports: Q = kAΔT/L; Q = hAΔT
Last reviewed
2026-08-09
Reviewed by
CalculatorX electrical review
Calculation version
1.0.0

Background

Interpretation and common distinctions.

Estimate heat transfer rate.

Supported and not supported

Supported — Conduction and convection modes · API physics.thermo.heat_transfer

Not supported — Radiation, transient, multi-D

Agent / API notes

Capability id: physics.thermo.heat_transfer · tool id: heat-transfer · pin 1.0.0.

Other calculators in this family: Stefan–Boltzmann, Heatsink Rth, LDO Thermal .

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Frequently asked questions

Key distinctions behind the calculation.

Signed ΔT?

ΔT may be negative to indicate direction; magnitude must be non-zero.