I have a book or two, in storage.
I bought them because I was working on small ball valves for refrigeration.
All the other features of the valves had been messed up along the way, but the seats worked reliably.
They comprised a machined TFE ring, with squarish 'corners', formed as chamfers in a screw machine (and possibly tumbled to remove burrs, I don't remember), that was crushed into shape as the valve was screwed together axially. I.e., the seat surface was produced by the ball itself, inducing a LOT of plastic deformation in the originally square sectioned blank. No equations found useful.

Larger valves typically have complicated chamfers where the seat will eventually be; I'm not convinced it does much good.

Mike Halloran
Corinth, NY, USA

Each valve manufacturers have their own way of calculating seat design, based on desired sealing angle and target sealing stresses, etc.

no one is going to share that proprietary calculation easily. It starts from the ball out.

Luke | Valve Hax | https://valvehax.com/