A method and apparatus for separating solids from liquid containing same comprises a conical-mesh which rotates within a casing about a vertical axis with the mesh walls upwardly diverging. A liquid-solid slurry is introduced to the center of the mesh at a top inlet. Stationary wiper arms in the center of the mesh, along with fluid pressure inside the mesh, pumping effect of the rotating blades, gravity force on the slurry and tangential pump suction at the bottom drive the liquid out through the mesh, while the solid material passes down through a central outlet opening in the bottom of the mesh.