Radiative heat transfer (Stefan-Boltzmann) API

Computes radiated emissive power Q = ε·σ·A·T⁴ and net radiative exchange ε·σ·A·(Ts⁴ − Tsurr⁴) with a surroundings temperature. Answers 'How much heat does a hot surface radiate?', 'What is the net radiation between a body and its surroundings?'.

Price$0.04per request

MethodPOST

Route/v1/engineering/radiation-heat

StatusLive

MIME typeapplication/json

Rate limit120/minute

Cache0s public

engineeringthermofluidsradiationstefan-boltzmannemissivityheat-transferthermalblackbody

API URLhttps://x402.hexl.dev/v1/engineering/radiation-heat

Integration docs

Example request

{
  "emissivity": 0.9,
  "areaM2": 1.5,
  "surfaceTempK": 400,
  "surroundingsTempK": 300
}

Example response

{
  "emissivity": 0.9,
  "areaM2": 1.5,
  "surfaceTempK": 400,
  "emissiveFluxWm2": 1306.454266,
  "emittedPowerW": 1959.681399,
  "stefanBoltzmannConstant": 5.670374419e-8,
  "formula": "Q = ε*σ*A*T^4 ; net = ε*σ*A*(Ts^4 - Tsurr^4)",
  "surroundingsTempK": 300,
  "netRadiativePowerW": 1339.625956,
  "interpretation": "Body radiates net heat to cooler surroundings."
}

Input schema

{
  "type": "object",
  "required": [
    "emissivity",
    "areaM2",
    "surfaceTempK"
  ],
  "properties": {
    "emissivity": {
      "type": "number",
      "description": "surface emissivity (0-1)",
      "examples": [
        0.9
      ]
    },
    "areaM2": {
      "type": "number",
      "description": "radiating area (m^2)"
    },
    "surfaceTempK": {
      "type": "number",
      "description": "surface absolute temperature (K)"
    },
    "surroundingsTempK": {
      "type": "number",
      "description": "surroundings temperature (K) for net exchange"
    }
  }
}

Output schema

{
  "type": "object",
  "additionalProperties": true
}