Thermal Diffusivity Calculator

Free Thermal Diffusivity Calculator — compute α = k/(ρ·cp) from a material's thermal conductivity, density, and specific heat capacity.

938.4K uses Updated · 2026-05-12 Runs locally · zero upload
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How to Use Thermal Diffusivity Calculator

The Thermal Diffusivity Calculator finds how quickly a material can equalize temperature. A high α means heat propagates fast; a low α means the material resists rapid temperature change.

  1. Enter thermal conductivity k — In W/(m·K).
  2. Enter density ρ — In kg/m³.
  3. Enter specific heat capacity cp — In J/(kg·K).
  4. Read α — The Thermal Diffusivity Calculator returns α in m²/s.

Formula & Theory — Thermal Diffusivity Calculator

α = k / (ρ · cp)
SymbolMeaning
αThermal diffusivity (m²/s)
kThermal conductivity W/(m·K)
ρDensity (kg/m³)
cpSpecific heat capacity at constant pressure J/(kg·K)

Typical α values: copper ≈ 1.11×10⁻⁴, aluminum ≈ 9.7×10⁻⁵, glass ≈ 3.4×10⁻⁷, dry air ≈ 2.2×10⁻⁵ m²/s.

Assumptions and Limits

The Thermal Diffusivity Calculator treats the material as isotropic and uses constant property values. For composites or anisotropic crystals, the result is directional.

Use Cases for Thermal Diffusivity Calculator

  • Transient conduction — Compute Biot and Fourier numbers for unsteady problems.
  • Material selection — Compare metals, polymers, and ceramics for thermal-shock resistance.
  • Building physics — Predict how quickly a wall warms in sunlight.
  • Manufacturing — Estimate cooling times during casting or welding.

The Thermal Diffusivity Calculator is a quick gateway to dimensional analysis of transient heat transfer.

Frequently asked questions about Thermal Diffusivity Calculator

How accurate is the Thermal Diffusivity Calculator?

The Thermal Diffusivity Calculator uses the exact formula α = k/(ρ·cp). Accuracy is governed by the property values you supply.

When should I use a Thermal Diffusivity Calculator?

Use the Thermal Diffusivity Calculator for transient heat-transfer problems where temperature changes over time, such as quenching, annealing, or solar gain in walls.

What units does the calculator return?

Thermal diffusivity α is returned in m²/s. The Thermal Diffusivity Calculator also displays mm²/s for convenience.

Is my data stored?

No. All calculations happen in your browser; nothing is sent to a server.