Hi there and thanks in advance for any help, I have two barrels, one barrel is 1m tall the other is 100m tall. The taller barrel has a diameter one quarter of the shorter one. Both barrels are filled with water. The two barrels are connected by a solid copper heat transfer unit.The bases of both barrels are at ground level. Both barrels are fully insulated and sealed from outside pressure. The water in shorter barrel has a temperature of 80 degrees Celcius, The water at the base of the taller barrel has a temperature of 30 degrees celcius. My question comes in two parts. 1) Does heat get tranfered from the smaller barrel to the base of the taller barrel where the water pressure is much greater. 2) The heat will rise in the taller barrel. At the very top of the larger barrel where the pressure is smallest, will the temperature be higher than that of the shorter barrel.