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IR Radiation and Accuflect® IR
Quick Notes
1. Emitter power density varies with the fourth power of temperature
M=AεσT4
where:
M=power density in W/m2
A=radiating surface area in m2
ε=emissivity factor
σ=Stefan Boltzman Constant in Wm-2T-4
T=absolute temperature in °K
Takeaway: Changes in temperature dramatically
affect power density
2. Wavelength of peak emission varies
inversely with temperature (Wiens displacement law)
λmax=cT-1
where:
λmax=peak
emission wavelength in microns
c=constant 2898 µm·°K
T=absolute temperature °K
Takeaway: emitter can be "tuned" to match
absorption spectrum of the receiver
3. Received power is proportional to distance
for some source types
Point Source
P proportional
to r-2
Line Source
P proportional
to r-1
Planar Source
P independent
of r
where:
r=source to receiver distance
Takeaway: Accuflect IR provides a planar
source where distance between source and receiver is not critical nor requires
specially shaped reflectors
4. Radiative transfer for a planar source
P=εσAeF(Te4-Tr4)
where:
P=power in W
ε=source emissivity factor
σ=Stefan Boltzman constant Wm-2T-4
Ae=emitter
area in m2
F=view factor for receiver (as seen from
emitter)
Te=emitter
absolute temperature °K
Tr=receiver
absolute temperature °K
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