On Fri, 2010-08-27 at 22:44 +1000, Luke O'Donnell wrote:
> Valid points. I suspect that you wouldn't be necessarily looking for
> just hot spots, but perhaps looking at rapid decreases in temperature.
>
I don't think you'd see them. For starters, ground temp differences are
a lot bigger than air temp differences. This is both because different
surfaces have quite different reflectance and heat capacity (low
reflectance and low heat capacity give a real hot spot (asphalt parking
lot) while high reflectance and low heat capacity give the opposite) and
there's mixing in the air mass, but none in the ground.

As I said, if you're looking down on that sort of patchwork, the
difference in emitted IR from air with its small temp difference between
lift and sink combine with its low emitted energy mean it simply can't
be resolved.

I'm doubtful that a camera could resolve the low contrast between
thermal and non-thermal even looking horizontally so the thermal is seen
against air rather than ground. Don't forget that the air's thermal
background is also uneven and shows similar contrast differences from
distant thermals to what we're trying to use to locate a nearby one.

>  Depending on the level of achievable contrast as well as how muchj
> temp trace there is when a thermal moves though, it might be possible
> to visually 'see' the thermal tracking over the ground, cooling it as
> it goes.
>
Again I'm doubtful, simply because the heat capacity of air is very low
compared with any solid. This means that the temp change in a bit of
ground that warms a parcel of air will be proportionately lower than the
tempo change in the air parcel. For a given heat exchange we can write:

dT1 * C1 = dT2 * C2  - (1)

Rearranging (1) gives 

dT1 = dT2*C2/C1      - (2)

where dT is the temp change and C is the volumetric heat capacity. I
think this is best used rather than heat capacity per gram for rough
calculations comparing a gas with a solid. Air's volumetric capacity is
0.001297 vs 2.17 for granite (figures from Wikipedia's article on heat
capacity). 

Plugging these into equation (2) and we see that a 2C increase in air
temp (0.7%, not 8% since we use degrees K, not degrees C for this type
of calculation) corresponds to a change of 0.007*0.001297/2.17 which is
0.0004184% or 0.0012 degrees C. You'd need a really good lab set-up to
measure that sort of temperature change. It not anything you'd attempt
outdoors with handheld or portable equipment.

Now, how does a 2C temp change affect the radiance of a parcel of air?
This is relevant because its brightness is directly proportional to an
object's radiance. The  Stefan–Boltzmann law applies, which says that
the emitted radiation power varies as the 4th power of its absolute
temperature, so if we warm air by 2C at 25C the difference is 300**4 -
298**4 or an increase in brightness of 2.7% - again not a lot of
difference.

By comparison my hand at 28.5C is 23% brighter than ground at night
(15C).

>  Still, i would be suprised if it would be nearly as easy to use IR to
> detect changes in temperature of air, as opposed to changes in
> temperature of the ground. 
> 
Exactly so, and that is even without considering differences in the
amount of radiation the ground emits in comparison with air.


Martin



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