John Hilt wrote
Brake temperature is only critical just after landing. That's
why the wheels hubs on a Concorde are equipped with fans that
run during ground stops. Not exactly a short hop aircraft.

From my B-707 Flight Manual:

MAXIMUM LGW FOR SHORT TRANSITS
Takeoff must not be scheduled less than 40 mimutes after
any landing in which the gross weights and operating
conditions critical for wheel fusible plug melting energy
levels have been exceeded. See chart in section.........


Bob Moore