How does the vortex and meso rotation tighten?
So I very recently got into tornadoes and other wind phenomena, and I know the basic concept of how a mesocyclone and tornado forms. However, I'm confused on two counts (something about conservation of angular momentum).
How does the updraft and other storm dynamics turn the wind shear from horizontal to vertical rotation?
The setup to a tornado: first, the mesocyclone creates a low-pressure void which the RFD and the FFD try to fill because they are dense cold air (high pressure goes to low pressure). But they can't due to the rotation spinning the air away. So they fall and curve around the rotation. If the downdrafts aren't that strong, there's an area in the south where the warm air comes from. Since there's cold air trying to block the entrance of the warm air into the storm, it gets faster because the area where it enters is smaller. However, I'm confused on how this tightens into a vortex, because it seems like the RFD and FFD are stuck in an eternal unwinnable war with the updraft. Any responses are appreciated. you can correct me if I got some of my observations wrong.