Devices, systems, and methods for separating solids from liquids are disclosed. A vessel includes an inlet, a carrier liquid outlet, a product outlet, a purifying section, and a heater. The inlet directs a slurry into the purifying section. The slurry comprises particles of a solid and a carrier liquid. The purifying section preferentially drives the particles of the solid towards a heating zone of the purifying section versus the carrier liquid. This displaces a first portion of the carrier liquid away from the heating zone of the purifying section. The heater heats the slurry. The carrier liquid outlet drives a majority of the carrier liquid out of the vessel. The product outlet is adjacent to the heating zone of the purifying section.