A device for the processing and separation of biological fluids into components comprises a hollow centrifugal processing chamber (10) fitted with an inlet/outlet head (20) and preferably with an axially movable piston (18). The inlet/outlet head has two separate inlets/outlets, for instance an axial inlet (29) and a lateral outlet (40). The processing chamber (1) is fitted with an internal flow guide (30) enabling operation of the device in a continuous processing mode wherein biological fluid to be processed is continuously intaken by say the axial inlet (29) and at the same time processed components are continuously removed via say the lateral outlet (40). The continuous processing flow can be driven by an external peristaltic pump (59) and/or by axial displacement of a piston (18) in the chamber (10).