Fred,
I’m pretty sure the lineage of this model is the Airfix—Airfix/Hornby “Airfix Engineer Jet Engine“ which has been around for 15-20 years in various forms. The initial release was similar to the one you found (without the Smithsonian logos). Subsequent releases have gone from pedestal mounts below to an airfoil shape above, which is what the current version has. I saw one of these with the Hornby label at a Barnes & Noble in the “scientific toy” section last Christmas.
Airfix also released a “working” four cylinder automotive engine about the same time. These are not really “antique“ as I think they can still be found. Current cost is about $45. I built the automotive engine as a commission for a customer about 10 years ago, the tolerances are tight to get it to operate, and it’s really a pain to build.
Neither of these Airfix “Scientific kits“ represented actual aircraft or automotive manufacturers version, and are “generalizations”, unlike the venerable Revell Allison turboprop of ancient history (which was re-released about a year ago under the “Atlantis” label, and can still be had at Hobby Lobby for about $45) Here’s a link to the newer Airfix product release, but it looks like it’s OOP:
https://www.airfix.com/us-en/jet-engine.htmlAnd here’s a link to the much more accurate Atlantis/Revell Turboprop kit at HL:
https://www.hobbylobby.com/Crafts-Hobbies/Model-Kits/Aircraft/Prop-Jet-Engine-Model-Kit/p/80973957VR, Russ