Tough crowd....
The Science Museum's primary Concorde display is at the FAA Museum, with 002 and the ogive winged Fairy Delta...
At South Ken the collection is thematically displayed, with Concorde items in a number of galleries; there is a nose cone in the materials gallery, wind tunnel development models in the milestone galleries, next to the Apollo capsule, and the Shorts SC1, plus computer units in the computer gallery and so forth.
Not ideal however quite well done in view of the way that collection is done.