Intensity (heat transfer)

Updated on
Covid-19

In the field of heat transfer, intensity of radiation I is a measure of the distribution of radiant heat flux per unit area and solid angle, in a particular direction, defined according to

d q = I d ω cos θ d A

where

• d A is the infinitesimal source area
• d q is the outgoing heat transfer from the area d A
• d ω is the solid angle subtended by the infinitesimal 'target' (or 'aperture') area d A a
• θ is the angle between the source area normal vector and the line-of-sight between the source and the target areas.
• Typical units of intensity are W·m−2·sr−1.

Intensity can sometimes be called radiance, especially in other fields of study.

The emissive power of a surface can be determined by integrating the intensity of emitted radiation over a hemisphere surrounding the surface:

q = ϕ = 0 2 π θ = 0 π / 2 I cos θ sin θ d θ d ϕ

For diffuse emitters, the emitted radiation intensity is the same in all directions, with the result that

E = π I

The factor π (which really should have the units of steradians) is a result of the fact that intensity is defined to exclude the effect of reduced view factor at large values θ ; note that the solid angle corresponding to a hemisphere is equal to 2 π steradians.

Spectral intensity I λ is the corresponding spectral measurement of intensity; in other words, the intensity as a function of wavelength.

References

Intensity (heat transfer) Wikipedia

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