A tube arrangement arrangement includes a first tubular element (18) having an inner channel (19) adapted to transport milk and a second tubular element (20) having two inner channels (21a, b) adapted to transport air with a pulsating vacuum pressure. A peripheral surface of the first tubular element (18) has an area (24a) with a substantially complementary shape to an area (25a) of the peripheral surface of the second tubular element (20). The complementary areas (24a, 25a) include fastening elements adapted to releasably connect the complementary shaped areas (24a, 25a) of the first tubular element (18) and the second tubular element (20) to each other.