engineering

Radiation Heat Transfer Calculator

Calculate radiative heat transfer Q = εσA(T₁⁴ - T₂⁴) with common emissivity reference values

Radiation Heat Transfer Calculator

Calculate radiative heat exchange between a surface and surroundings.

Formula

Q = ε · σ · A · (T₁⁴ − T₂⁴)

σ = 5.67 × 10⁻⁸ W/(m²·K⁴) — temperatures must be in Kelvin

0 (perfect reflector) – 1 (black body)

Emissivity Presets

Results

Heat Transfer Rate Q

17857.08 W

Surface emits heat to surroundings

Heat Flux q

17857.08 W/m²

Linearised h_rad

37.2022 W/m²K

Calculation Steps

T₁ = 773.15 K (500.00 °C)
T₂ = 293.15 K (20.00 °C)
T₁⁴ = 773.15⁴ = 3.5732e+11 K⁴
T₂⁴ = 293.15⁴ = 7.3852e+9 K⁴
T₁⁴ − T₂⁴ = 3.4993e+11 K⁴
Q = 0.9 × 5.67e-8 × 1 × 3.4993e+11
Q = 17857.08 W

How to Use This Calculator

1

Enter your input values

Fill in all required input fields for the Radiation Heat Transfer Calculator. Most fields include unit selectors so you can work in your preferred unit system.

2

Review your inputs

Double-check that all values are correct and that you have selected the right units for each field. Incorrect units are the most common source of calculation errors.

3

Read the results

The Radiation Heat Transfer Calculator instantly computes the output and displays results with units. All calculations happen in your browser — no loading time and no data sent to a server.

Formula Reference

Stefan-Boltzmann Law

Q = ε·σ·A·(T₁⁴ − T₂⁴)

Variables: ε = emissivity, σ = Stefan-Boltzmann constant (5.67×10⁻⁸ W/m²·K⁴), T in Kelvin

When to Use This Calculator

  • Use the Radiation Heat Transfer Calculator when solving homework or exam problems that require quick numerical verification of your hand calculations.
  • Use it during the design phase to rapidly iterate on parameters before running detailed finite element simulations.
  • Use it when reviewing a colleague's calculation or checking a vendor's data sheet for plausibility.
  • Use it to generate reference data for a technical report or presentation without manual computation.

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