EngiRef / Formulas

Stefan-Boltzmann Radiation

Emitted radiative power from a diffuse gray surface

Heat Transfer

Source Details

Id

thermo-radiation

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)

Variables
[
  {
    "symbol": "Q",
    "name": "Radiated Power",
    "unit": "W",
    "siUnit": "W"
  },
  {
    "symbol": "ε",
    "name": "Emissivity",
    "unit": "",
    "siUnit": ""
  },
  {
    "symbol": "σ",
    "name": "Stefan-Boltzmann Constant",
    "unit": "W/(m²·K⁴)",
    "siUnit": "W/(m²·K⁴)"
  },
  {
    "symbol": "A",
    "name": "Surface Area",
    "unit": "m²",
    "siUnit": "m²",
    "imperialUnit": "ft²"
  },
  {
    "symbol": "T",
    "name": "Temperature",
    "unit": "K",
    "siUnit": "K"
  }
]
Solve For

Q, ε, A, T

Tags

radiation, stefan-boltzmann, blackbody, thermal

Is Custom

false