Abstract: A centrifuge apparatus, primarily for use in the continuous or semi-continuous separation of blood, has a disposable separation unit which is orbited on a centrifuge rotor. The separation unit has a sealed jacket which is held against rotation during the orbiting and communicates with a stationary and nonrotatable liquid inlet and outlet connector on the rotor axis. A separation vessel rotatably mounted in the jacket communicates with liquid inlet and outlet passages in the jacket and is rotationally unbalanced to orient itself relative to the rotor during the orbiting of the jacket.