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Radiation-loss estimate calculator

The stated radiation estimate assumes unit emissivity and uses absolute temperatures to the fourth power.

Units
qrad=A×0.1714×10−8×(Ts,R4−Troom,R4)q_{\text{rad}} = A \times 0.1714 \times 10^{-8} \times \left(T_{\text{s,R}}^{4} - T_{\text{room,R}}^{4}\right)

Calculator

Enter the values you know and leave one box empty. Calculate finds the empty one, the result or any input.

°R
°R
ft²
Btu/h

Worked example

Given

  • Troom,RT_{\text{room,R}} = 530 °R
  • Ts,RT_{\text{s,R}} = 760 °R
  • AA = 100 ft²
qrad=100×0.1714×10−8×(7604−5304)≈43,658q_{\text{rad}} = 100 \times 0.1714 \times 10^{-8} \times \left({760}^{4} - {530}^{4}\right) \approx 43{,}658

Symbols and units

SymbolMeaningUnit
qradq_{\text{rad}}radiative heat lossBtu/h
Troom,RT_{\text{room,R}}ambient absolute temperature°R
Ts,RT_{\text{s,R}}surface absolute temperature°R
AAsurface areaft²

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Results are estimates for study and screening. Check the inputs, units and assumptions before you use them for design, billing or contract decisions.