This is a simple water/air flow thought experiment I had that I'd like to understand better... The basic idea is that you have a closed loop of water or air standing vertically. One side is heated to make the water/air rise and the other is cooled to make it descend, creating flow (does this work?). If this works which would produce the more efficient work output, air or water? (I'm assuming air because of it's lower heat capacity / speed of temperature change?) And is temperature difference the main factor that would effect the flow rate?
Attached is a very rough sketch to help visualise... grateful for any input that helps me learn!