A process is used to clean a filtering centrifuge. A base layer of filtered matter remains on the filtering medium of the centrifuge after the removal or repeated removal of a portion of a solid cake of filtered matter by a peeling blade and discharge apparatus. The process removes the base layer of solid filtered matter by initially penetrating and flooding the base layer with a liquid and then strongly braking or rapidly accelerating the drum of the filtering centrifuge to rapidly reduce or increase the rotational speed of the drum, respectively.