This invention is for a centrifugal separator comprised of a group formed by: a central feed chamber (10) fed by a feed pipe (20); a separation chamber (30) including a number of frustoconical disks (3); a first recovery chamber (11) in communication with a first liquid phase recovery pipe (21) and a gaseous phase recovery pipe (23); and a second recovery chamber (12) communicating with a second liquid phase recovery pipe (22), where the group is encompassed by a rotating envelope (1), where the central feed chamber (10) is in liquid fluid communication with the separation chamber (30), and in gaseous fluid communication with the first recovery chamber (11), where the separation chamber (30) is in fluid communication with the first and second recovery chambers where the centrifugal separator is encompassed by pressurizable stationary casing (4a, 4b).