A terminal valve having a cone (9) that communicates with a valve seat (10) of a seat ring (19) and cooperates with a veil (12) to control flow. The valve seat (10) and the veil (12) together form a sealing element, which seals against the cone (9) as well as the valve body (1). The cone (9) has a cylindrical portion (46) with slits (49, 50) that form a flow passage area which allows a flow that corresponds to a modified logarithmic function.