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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∝r-2
Line Source
P∝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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