Air pressure question?

Factual Questions
1

I will try and make this as simple as possible. If I had a cone shaped tower, say 10ft at the base to a 100 ft point. The tower is made from a material that will absorb as much heat energy as possible. Assuming a small enough exhaust at the top would the pressure inside the cone get higher as it rose into narrowed space?

I have two logic perspectives that are opposite of one another. The first I see the pressure simply backing up and stabilizing and the exhaust would settle into a nice steady flow. The other perspective is that the rising air has some force behind it that would pack it in tighter and hotter as it rose.

2

I don’t see the air rising as it will all be the same temperature. As the temperature increases the pressure inside should be the same throughout but higher then ambient. Flow will stop when the (hot) air pressure inside the cone is the same as the ambient pressure. If it cools off and pressure falls, outside air will be pulled into the cone until things reach equilibrium again.

3

There are some words missing here. Do you mean the cone-shaped tower is 10 feet wide at the base and rises to a 100-foot point height?

Or something else entirely?

If so, I believe the heat-absorbing cone would heat the air inside the cone, increasing its pressure higher than the surrounding outside air pressure. If the cone is open at the top and bottom, air will flow out the top. The pressure at the top will be lower than the pressure at the bottom, because fluid pressure decreases with with ascending height in a gravity well.

4

It would be exhausting at the top of the cone

5

Yes, there would be a measurable pressure.

As the air inside the cone expands due to heating, it will pressurize the container it’s in, with the excess pressure leaking out the hole in the top.

The pressure would depend on the size of the opening, the initial air density, and the rate of heating. I don’t know all of the formulas to calculate it, but it would exist, and it would be measurable.

Edit… I misread your question… would the pressure be higher at the top of the cone vs elsewhere inside. I do not believe it would, because of hydraulics, but I’m not as certain as I was about my initial irrelevant answer.

6

Is there an inlet for fresh air somewhere?
If not, you aren’t going to get significant exhaust.

7

Inlet at the bottom outlet at the top

8

Then you just have a thermal chimney.