Union Flag

The Union Flag was the flag of the United Kingdom.

Name
Rose Tyler corrected Eddie Connolly's mistake of calling the flag the Union Jack, which was a name used only when it was flown at sea. She also corrected his positioning, as he had hung it upside down. (TV: The Idiot's Lantern)

Recognition
The Union Flag was primarily used to identify the UK. The Prime Minister of the United Kingdom would sit between two Union Flags while addressing the nation. (TV: The Christmas Invasion)

During the First World War, British Proto-Dalek sported the image of the Union Flag at the back of their middle sections. (COMIC: The Dalek Project)

During the Second World War, Ironside Daleks had an image of the Union Flag in place of their recognition code. This identified them as British soldiers. (TV: Victory of the Daleks)

The Union Flag was often flown atop of government buildings to identify them as such. (TV: The Christmas Invasion)

As late as 2493, the Union Flag was used as recognition for spacecraft that were property of the United Kingdom. An example of this was UK-201, which bore the flag on its hull. (TV: The Rescue)

In the 29th century, the image of the Union Flag was placed on the hull of Starship UK. (TV: The Beast Below)

During the Ceasefire The Doctor had a Union Flag Parachute. He said "Were in the UK, camoflage" (TV: The Zygon Inversion)

Decoration
The Union Flag was also used in a decorative manner. Rose Tyler wore a shirt with the flag on while visiting wartime England. She noticed the irony of it when she found herself facing a bombing raid. (TV: The Empty Child)

The Union Flag was also flown from a flagpole in some places, for example, in the entryway to Farringham School for Boys. (TV: Human Nature)

In 1941, The Ritz was decorated with numerous Union Flags (TV: Captain Jack Harkness) and during World War II, people often decorated streets and bomb shelters with it. (TV: The Empty Child)

Behind the scenes
In the real world, the claim that the term Union Jack properly refers only to naval usage has been disputed.