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

Variables for Stefan-Boltzmann Radiation
SymbolNameUnitSi UnitImperial Unit
QRadiated PowerWW
εEmissivity
σStefan-Boltzmann ConstantW/(m²·K⁴)W/(m²·K⁴)
ASurface Areaft²
TTemperatureKK