Stefan-Boltzmann Law

Stefan-Boltzmann law states that the total emissive power of a blackbody, Eb, is given by:

Eb = σ T4

where σ is the stefan-Boltzmann constant and T is the absolute temperature of the blackbody. The value of the Stefan-Boltzmann constant is 5.67x10-8 W/m2 K4 or 3.3063 x 10-15 Btu/s.in2.F4. The spectral variation of blackbody radiation is described by the Planck distribution . Integrating the Planck distribution law over all wavelengths (λ) gives the Stefan-Boltzmann law.

When a blackbody of a surface area (A) is immersed in a medium with ambient temperature Ta, the net rate of heat radiated by the blackbody is given by:

Qradiation = σ A ( Ts4 - Ta4 ), Ts> Ta .

where:

Ts = Absolute temperature of the blackbody

Ta = Absolute temperature of the surrounding medium (ambient temperature)