Centrifugal separator comprising a rotor, which forms an inlet and an outlet chamber (17) surrounding the rotational axis, in which a liquid present therein rotates around the rotational axis with a radially inwardly directed free cylindrical liquid surface. A stationary discharge device (21) extends in the outlet chamber (17) from the rotating liquid body radially inwardly to a central outlet (25) and forms a flow channel (26) with an inlet opening (23). In order to reduce the splashing around the discharge device (21) and reduce the danger of air admixture the discharge device (21) has a front contour (28) projected in a plane perpendicular to the rotational axis and directed towards the rotational direction and a rear contour (29) projected in this plane and directed in the rotational direction, which contour (28, 29) seen radially outwardly has a directional component in the rotational direction, the front contour (28) being so curved in said plane at the free liquid surface that it essentially has the same direction as the free liquid surface nearby and radially outside the free liquid surface.