I was curious about the burned effect too, and I recently tried it on a pair of F-4 exhausts. here is one of them....
Many folks have mentioned Alcad. I used Alclad Hot Metal Sepia, Violet, and Blue for this test. Being my first time and as you can see, I got a bit heavy-handed and should have stopped adding thin layers before I thought it was enough!
Started with gloss black base, I don't recall if I used Alclad or Vallejo Metal colors for the metal base.
Again, I think I overdid it but it will probably be barely visible if at all after I hit is with some exhaust or soot spray later, but it was fun to do and IMO it looks better in person than in the photo.