Calculating Temperature at a distance from a fire.

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Hornet-Wing
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Hi all, I have searched the internet for hours and have come up empty. Perhaps I'm just not entering the correct search terms. What I would like to work out is variation of temperature (in air) with altitude above the fire.

Details:
The fire is a bushfire (a quick search suggests a temperature of 1200C)
Atmosphere temperature being 25C
Altitude above fire 120m

Any ideas how I would go about this task? A rough temperature will be fine.

Thanks for reading!
 
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I'm with Khashishi on this one - there are too many variables, and the physics is too complex to get even a rough estimate.