Abstract: A flow control device is mounted within a channel of an extrusion die, wherein the channel is defined by a base surface and a side surface normal to the base surface. The device includes a main body and an auxiliary body, wherein the main body includes a side portion that sealingly contacts the side surface of the channel when a force is exerted on the side portion, and the auxiliary body is in contact with the base surface of the channel. The device further includes a flexible membrane on a face opposite the auxiliary body which can influence the flow of material through the channel by moving in a direction perpendicular to the direction of material flow. A sealing apparatus is used to prevent leakage of material between the die and the flexible membrane. The sealing apparatus includes a gasket disposed adjacent an end surface of the membrane and means for causing the gasket to apply a force against the end surface such that the gasket seals against the membrane.