EngiRef / Thermodynamics Engineering Formula
Stefan-Boltzmann Radiation
Stefan-Boltzmann Radiation: Emitted radiative power from a diffuse gray surface. A Heat Transfer formula in thermodynamics engineering. Variables Q, ε, σ, A…
Heat Transfer
Specification
- Name
- Stefan-Boltzmann Radiation
- Discipline
- thermodynamics
- Category
- Heat Transfer
- LaTeX
- Q = \varepsilon \sigma A T^4
- Description
- Emitted radiative power from a diffuse gray surface
- Conditions
- Net exchange requires a surrounding temperature term (T^4 - T_sur^4)
- Can solve for
- Q, ε, A, T
- Tags
- radiation, stefan-boltzmann, blackbody, thermal
Variables
| Symbol | Name | Unit | Si Unit | Imperial Unit |
|---|---|---|---|---|
| Q | Radiated Power | W | W | - |
| ε | Emissivity | - | - | - |
| σ | Stefan-Boltzmann Constant | W/(m²·K⁴) | W/(m²·K⁴) | - |
| A | Surface Area | m² | m² | ft² |
| T | Temperature | K | K | - |
Common questions
- What is the Stefan-Boltzmann Radiation formula?
- Emitted radiative power from a diffuse gray surface. It sits under Heat Transfer, Thermo engineering in the EngiRef reference.
- What do the symbols in the Stefan-Boltzmann Radiation formula mean?
- In Stefan-Boltzmann Radiation, Q is radiated power in W; ε is emissivity; σ is stefan-boltzmann constant in W/(m²·K⁴); A is surface area in m²; T is temperature in K.
- When does the Stefan-Boltzmann Radiation formula apply?
- Stefan-Boltzmann Radiation holds under this condition: Net exchange requires a surrounding temperature term (T^4 - T_sur^4).