Here's another question for you. I feel that I sort of half-understand this, but not well enough to explain it clearly to another person, which is where I need to get to.
Why are the ventilation 'stacks' above mine shafts very tall and wider at the top than the bottom?
The same can be said of stacks/chimneys/vents above big underground tunnels, including modern ones like the Tyne Tunnel.
I'm pretty sure that it has something to do with temperature differences and relative pressure. I suspect that the air flow may not always be in the same direction.
Agricola in his 17th century work on mines shows square-section wooden stacks on mine shafts, clearly wider at the top than at the bottom, so this idea is not very modern.
Some people say that it is all to do with the 'Venturi effect', but this alone does not really explain it, plus the Wikipedia page (and every other page I've looked at on this) has a very bad explanation of the effect.
The sides of the stack stop air in the stack mixing with the open air, thus preserving differences in temperature, pressure, humidity etc. They also shade the air from the sun. The stack also increases the height of the column of air in the mineshaft, which increases its weight.
On sunny days, the air near the ground is warmed by the hot surface of the ground, so a stack might be useful to bridge past this air to much cooler air a little way further up.
If the air in the stack is cold, then the higher column of air will weigh more and so sink faster, pulling in more air behind it into the mine. Possibly the narrowing of the chimney in this direction serves to increase the pressure/density and further accelerate the air downwards.
If the air in the stack is (relatively) warm, then one argument is that the widening can lower the pressure of the rising air, thus drawing up more air from below. The trouble with that idea is that it would also draw air down from above for the same reason. If the rising air were still accelerating, then a tall stack would let it accelerate for longer, but that's a big IF.