[email protected] (Don Klipstein) wrote in
So an ideal blackbody at 2865 K receiving 100 watts and radiating 100%
of this produces 6.63 watts of visible light and 1670 lumens. The ratio
of lumens to watts of visible output is 252, not 683.
683 lumens in a watt of visible light is only true for yellow-green
light of wavelength around 555-556 nanometers, where this figure is
maximized. Those saying that incandescents are only around 2% efficient
are assuming that a watt of any kind of visible light has 683 lumens.
This makes sense, in a way, though the actual assumption is surely a
misinterpretation. In the context of lasers it makes sense now, because
those are usually monochromatic (or take pumping on narrow bands of lines),
and the maximum efficiency of any 'line' drawn from that lamp will be
around 2% at best. Discussions of efficiency for narrow bands or lines in
lasers or LED's or phosphor or sodium sources dominate a lot of reference
material, so that's probably why this figure arises so often.
Even so, it's harder to see how that hasn't been corrected in something
like Wikipedia by now. I guess a lot of people don't think of light below
670 nm as useful? (If you look at colours on a monitor or TV you can cut
all below about 635 nm).
http://www.inchem.org/documents/ehc/ehc/e23_3.gif
shows a diagram that suggests you might lose 25% or so from a 3000K
tungsten emission just by ignoring a big enough chunk of deep red. (More
lost that way than gained by IR supression in tungsten). Still doesn't
explain the 2.6% value on Wikipedia, but if only the dominant 'line' is
taken that wouldn't either because 2.6% would probably be too high, even
for a 110V 100W incandescent.
A lot of the heat energy is carried to the bulb by convection and emitted
as IR, so the temperature will be lower than than if the filament was
heated in vaccuum. It's not an ideal blackbody radiator. That could make a
likely average fall well below 6%, especially if you consider that the
world has a lot of 240V lamps too. The steepness of that curve alone is
enough to make large changes in output of visible lumens with small changes
in voltage.
In short, I guess that the figure of 2.6% and others similar might not have
been gained by calculation at all, but by measurement. I don't know what
the conditions for that were though, so I can't comment on them.