[TheForge] Chip forge
Demon Buddha
osan at netlabs.net
Sat Mar 4 19:21:21 EST 2006
Steve Smith wrote:
> I could be completely off base here, but why does the surface area
> matter in radiative transfer? If the chips are all pretty much at the
> same temperature, isn't the steel already getting its max radiation,
> regardless of the chip surface area? Isn't the air (whatever) itself
> between chips radiating at the same temp as the chips? I think the steel
> is already getting the max IR since it is completely surrounded by a
> constant temperature environment.
Area has a direct bearing on the rate of thermal dissipation, all else
equal. Let's use an absurd example to illustrate. suppose you have two
equal masses of steel (same alloy and all that so that the volumes are
precisely equal). one is in the form of a cube (let's say 1 cu in.) and
the other rolled into foil 1" wide x .001" thick x 1000 inches long.
Surface area of the cube will be 6 sq in, and the foil will be 2002.002
sq. in.
Forget factors such as scaling and all that other real world trouble
that throws small wrenches into the realm of the ideal) and assume we
have a furnace or forge that will precisely raise both pieces to, say,
1000*F. Assume perfectly still air. At temperature, each mass will
hold precisely the same heat volume, but on removal the foil will
dissipate its thermal load far more rapidly than will the cube because
for any given set of conditions, such as temperature gradient between
metal and air, the specific rate of heat transfer per unit area will be
basically constant, assuming an effectively infinite air volume and
convection. But if the area be increased, the same specific rate of
heat transfer will now be applied over that larger area and heat will
therefore dissipate at a proportionally higher rate.
-Andy
PS: anyone have Ralph Douglas' email address? I have it on the machine
I left in AZ. I'd just like to drop a line to say hi.
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