We've discussed the Super Chimney on this forum before:
http://forum.arctic-sea-ice.net/index.php?topic=568.0Personally, I don't think there'd be any tendency for net airflow at all. In natural air flow, updrafts are balanced by downdrafts. If surface air were always being drawn up, we'd be in a vacuum down here.
Consider the following concept, using the same structure:
Low-density, low-pressure air enters at the top. As the air descends, it becomes compressed, and thus denser. As it is compressed, a partial vacuum is created behind it, drawing more air in. As the descending air becomes denser, it's greater weight per unit volume causes greater gravitaional pull, accelerating the downward force. Very high downward velocities are obtained thereby.
It's silly pseudo-physics for going down, and I'm not sure it's any less silly going up.