A blood component separating device comprises a centrifuge bowl adapted for rotation about its axis in a centrifuge. The bowl defines an outer circumferential wall plus an inner circumferential wall, spaced from the outer wall, to define a circumferential slot adapted for receiving blood components. Access tubing is adapted for communication with the slot. Preferably, an elongated, flexible, collapsible inner liner is provided in the slot. Individual access tubing also may communicate with an elongated container interior between the ends of the elongated, collapsible container. Furthermore, a portion of the slot may define the shape of an outwardly extending spiral, to provide an increasing gravitational field upon fluids therein as the fluid moves along the slot.