This is an Eaton positive displacement roots-type supercharger I am using on mine might help you I with your id. Yours
does look like a BMW one but an early one?
That is a really tidy looking plenum chamber, it will make the supercharger installation look like a factory fit. Is that a complete kit or can the plenum be bought separately? Also will it fit into a Mini without bulkhead and bonnet mods?
I've been thinking about doing a supercharger conversion over the winter and having been looking into the kits currently available so any information on who is producing the kit and what the cost would be would be great.