Help with Heating a Geodesic Dome. Big Woodstove still cold?

Looking for a little advice/help with heating a Geodesic dome. I work at an outdoor based school, where the kids spend the majority of time outside.  As winter sets in they spend more time inside.  Their classroom space is a membrane covered geodesic dome with a layer of insulation under that. It is build on an insulated platform.  There is a large wood stove in the dome but it is still not heating up well.  .  For some reason the solar air exchange fan is located almost directly above the wood stove, which I am assuming is removing the heat as fast as the wood stove makes it, but it can unfortunately not be moved.  My current strategy is to put those thermocouple fans on the wood stove to circulate the air before it goes out the vent.  This has helped some but the dome does not get near as warm as I would think it should with a wood stove that size. Any other thoughts or input would be welcome.

Regards
Brayden

Your idea of using fans is good.

Can some small electric heaters be used to help the kids stay warm?

What is the membrane made of? Does this also let the cold come in, does it need insulating?

Maybe using insulated curtains to make the room smaller so the wood stove can keep the place warmer?

Something like this:

https://permies.com/t/169504/fiber-arts/good-layered-winter-curtain-system

If you can't move the vent, can you turn it down, or off, or partly block it? Even minimal passive ventilation located near the peak and right above the heat source seems like it would be plenty for healthy air... (at least, if you're not trying to add extra airflow as a covid thing..)

What about a ducted intake from the exhaust vent off to the side and down, forcing it to take cooler air and hopefully getting some circulation going as well as reducing exhaust volume?


Other than that, working on nice hot fires with really dry high btu firewood split relatively small will maximize what the stove itself is putting out..

Buildings with tall ceilings usually have ceiling fans to break up the layers of air (warm above, cool below) and keep buildings comfortable and more efficient.

I'm not sure if you have grid power, but a powerful fan set off the side and pointed at the ceiling may be enough to mix up the warm air above.

I'm assuming that the fan is stealing the hot air from the top of the dome.
You could try putting in a false ceiling to bring the hot air from the stove down - heating a smaller volume of air should make it warmer. Gaps or ducting to the bottom of the dome from the extraction fan will mean that only takes the cooler air (or would it just exchange at the top of the dome?) You would need heat proof flashing around the flue of course. I think it could be done.
I suppose a duct could not be fitted to the fan itself? Then this could be routed somewhere close too the bottom of the dome where the air is cooler.

Next summer maybe you could put in a rocket mass heater, then at least everyone will have warm bums!
See this video about theTipi with RMH at Wheaton labs: https://permies.com/t/120/29327/permaculture-projects/RMH-Tipi#338122

Thank you so much everyone for your input.  I will try to rig a ceiling fan and get back to you.

Regards
Brayden