A method for separating milk at least into a milk phase and a cream phase, the method comprising the steps of: supplying the milk to an inlet of a centrifugal separator, the separator comprising a frame and a drive member configured to rotate a rotating part in relation to the frame around an axis of rotation, a first outlet for discharging a milk phase and a second outlet for discharging a cream phase, wherein the rotating part comprises a centrifuge rotor enclosing a separation chamber arranged to receive the supply of milk via the inlet and comprising a stack of discs that has a first sub-stack that comprises microorganism clarification discs, and a second sub-stack that comprises milk-fat separation discs, distributing the flow of milk through and over the first sub-stack, the microorganism clarification discs having through openings that are arranged at a radial distance from the axis of rotation, distributing the flow of milk through and over the second sub-stack, the milk-fat separation discs having through openings that are aligned with the through openings of the microorganism clarification discs, such that at least one common distribution channel is formed through the first and second sub-stacks, discharging a milk phase via the first outlet, and discharging a cream phase via the second outlet, wherein the second sub-stack of separation discs is arranged downstream of the first sub-stack, such that the distributing of the flow of milk through and over the first sub-stack takes place before the distributing of the flow of milk through and over the second sub-stack, characterized in that each disc in the stack of discs comprises a surface that extends in a direction from a center of the stack to a periphery of the stack, the microorganism clarification discs comprise elongated distance members that extend in the direction to reduce a tangential flow of milk through and over the first sub-stack, the milk-fat separation discs comprise distance members that are, as seen in the direction, shorter than the elongated distance members of the microorganism clarification discs, and the number of microorganism clarification discs in the first sub-stack is larger than the number of milk-fat separation discs in the second sub-stack. supplying the milk to an inlet of a centrifugal separator, the separator comprising a frame and a drive member configured to rotate a rotating part in relation to the frame around an axis of rotation, a first outlet for discharging a milk phase and a second outlet for discharging a cream phase, wherein the rotating part comprises a centrifuge rotor enclosing a separation chamber arranged to receive the supply of milk via the inlet and comprising a stack of discs that has a first sub-stack that comprises microorganism clarification discs, and a second sub-stack that comprises milk-fat separation discs, distributing the flow of milk through and over the first sub-stack, the microorganism clarification discs having through openings that are arranged at a radial distance from the axis of rotation, distributing the flow of milk through and over the second sub-stack, the milk-fat separation discs having through openings that are aligned with the through openings of the microorganism clarification discs, such that at least one common distribution channel is formed through the first and second sub-stacks, discharging a milk phase via the first outlet, and discharging a cream phase via the second outlet, wherein the second sub-stack of separation discs is arranged downstream of the first sub-stack, such that the distributing of the flow of milk through and over the first sub-stack takes place before the distributing of the flow of milk through and over the second sub-stack, characterized in that each disc in the stack of discs comprises a surface that extends in a direction from a center of the stack to a periphery of the stack, the microorganism clarification discs comprise elongated distance members that extend in the direction to reduce a tangential flow of milk through and over the first sub-stack, the milk-fat separation discs comprise distance members that are, as seen in the direction, shorter than the elongated distance members of the microorganism clarification discs, and the number of microorganism clarification discs in the first sub-stack is larger than the number of milk-fat separation discs in the second sub-stack.