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I've had a problem with the cloud + air density we've been using for a while now, and that problem comes from our density not taking into account how air becomes lighter as the altitude increases, making our clouds heavier than the air itself, even though the water content of a cloud is minuscule (0.003 kg/m^3 for the heaviest type of cloud) compared to the air inside the cloud.
Let's take a look at this graph which I took from here, the U.S. Standard Atmosphere Air Properties:
At an altitude of 3,000 meters, air already has a density of 0.9093 kilograms per cubic meter. This is where the problem lies, most of our calculations involve storm clouds that form at a height of at least 2 kilometers and extend up to 10 kilometers above sea level (basically an 8 kilometer high storm).
At an altitude of 10 kilometers, air has a density of 0.4135 kg/m^3, less than half our current cloud air density.
What I'm proposing for the new cloud air density?
For your average storm calc, I'm proposing a cloud density of 0.6601 kg/m^3. That's the air density at a height of 6 kilometers above sea level, the middle of a 8-kilometer high storm.
For storms that formed much higher than the average one, or that are much bigger, I recommend measuring half the height of the storm + the distance to ground, adding those results and using the above graph to find the air density.
Of course, clouds formed/dispersed from anywhere between 0 to 2500 meters above sea level can keep using the current cloud air density, my main concern is storm clouds.
Let's take a look at this graph which I took from here, the U.S. Standard Atmosphere Air Properties:
At an altitude of 3,000 meters, air already has a density of 0.9093 kilograms per cubic meter. This is where the problem lies, most of our calculations involve storm clouds that form at a height of at least 2 kilometers and extend up to 10 kilometers above sea level (basically an 8 kilometer high storm).
At an altitude of 10 kilometers, air has a density of 0.4135 kg/m^3, less than half our current cloud air density.
What I'm proposing for the new cloud air density?
For your average storm calc, I'm proposing a cloud density of 0.6601 kg/m^3. That's the air density at a height of 6 kilometers above sea level, the middle of a 8-kilometer high storm.
For storms that formed much higher than the average one, or that are much bigger, I recommend measuring half the height of the storm + the distance to ground, adding those results and using the above graph to find the air density.
Of course, clouds formed/dispersed from anywhere between 0 to 2500 meters above sea level can keep using the current cloud air density, my main concern is storm clouds.