Transwarp has no real "real world" analogy. You cannot travel faster than you travel.
Trans as in 'transitive' ... a technological upgrade.
In that sense, YES, there have been PLENTY of real world analogies. Here's one you may have heard of... "transonic flight" .. for Trek, warp speed itself is "transluminal travel".
Nuclear-powered aircraft carriers are 'transition' drives from gas powered ones, which were 'transition' drives from coal, which were 'transition' drives from steam.
Well said.
My programing agrees that that was well put....