Abstract: A full jacket-worm centrifuge is disclosed for continuous separation of water-sludge mixtures. The centrifuge has a cylindrical drum jacket with a conically tapered portion in a direction of a solid matter discharge. A worm conveyor having cylindrical and conical portions is arranged within the drum jacket. Between a slurry inlet on the drum jacket and the solid matter discharge a liquid separation product discharge is arranged. Between this liquid discharge and the solid matter discharge a cross-sectional constriction is provided having a plate extending radially to a point spaced from an interior side of the drum jacket. Means are provided to control a differential speed between the drum jacket and worm conveyor or solid matter quantity supplied per unit of time to the centrifuge according to torque of the worm conveyor, solid matter concentration in the solid matter discharge, or solid matter concentration in the liquid separation product discharge.