Depends on several factors:
1) weight of the barrel, bull, varmint, sporter, etc
2) the amount of powder being burned.. 6.5CM, 308, 300RUM etc.
in my 708 I use a 3 minute (sand hour glass shape) game/egg timer between each shot to keep things consistent. Although my barrel is a 26" varmint and can typically fire 10+ shots and only get warm.
Whatever the setup, try to keep the barrel a consistent heat within reason.