Burn rate is a function of composition, pressure and temperature, so we're one closer than that

height: 10km

width: n/a

burn rate: n/a

 

assuming its on a stick, and average liftable "sticks" are about 3 ft long, then

 

height: 10 km

width: 3 ft

 

the composition is wood, the pressure is really low due to the altitude, and the temperature is very low due to the cold conditions 10 km up there. So what the heck's the burn rate? I'll leave it up to u less lazy ppl.

Pressure and temperature wont be high because of the 10km flame?

please don't mix units like that, it causes a whole lot of problems at calculation time. lets stick to the SI we all know and love.

 

so we have a 10km high, 1m wide fire. like thats going to happen. that has a horrbile H/D ratio and believe it or not, the equations i have don't apply to H/D of 10000 it goes up to 10. so for this to be reasonable accurate it's going to need to be a kilometer wide at the least.

thats a heavy stick

the updraft would be more than enough to compensate, it's the force of the burning fuel you're firing into the air that is likely to cause problems.

I tried to weigh some but got badly burnt!