A filter device including a stationary head piece and a movable end piece and a pack of adjacent elements including a recess plate, wherein the pack is arranged between the stationary head piece and the movable end piece, wherein the recess plate includes a base element including a recess forming a filter chamber between the adjacent elements, wherein the filter device includes a filter membrane between the adjacent elements, wherein the filter membrane retains a solid content of a suspension as a filter cake and allows a remaining liquid fraction of the suspension to pass as a filtrate, wherein the recess plate includes a fluid pipe discharging the filtrate, which fluid pipe runs along a narrow edge of the base element, wherein the recess plate includes a fluid duct that connects the fluid pipe to the filter chamber.