Really? The stuff does NOT meet code for use on air ducts, and "Duck" is a very common brand.
IMO, "duck tape" is correct.
“...from the basement of the science building...”
The original product was “Duck” tape. “...The first name for Duct Tape was DUCK. During World War II the U.S. Military needed a waterproof tape to keep the moisture out of ammunition cases. So, they enlisted the Johnson and Johnson Permacel Division to manufacture the tape. Because it was waterproof, everyone referred to it as “duck” tape (like water off a duck’s back). Military personnel discovered that the tape was good for lots more than keeping out water. They used it for Jeep repair, fixing stuff on their guns, strapping equipment to their clothing... the list is endless.”