Abstract: A seal arrangement provided between a static component and a rotating component arranged for rotation about a rotational axis. The arrangement preferably takes the form of an interstage seal for a gas turbine engine, including: first and second seal members carried by respective said components and arranged concentrically about said rotational axis. The first seal member has a plurality of radially directed seal fins extending towards the second member and a substantially radially directed flow outlet configured to direct a flow of cooling air through the first member. In one aspect of the invention, the second member has a radial projection at one end of its axial length, the projection extending towards the first member at a position spaced axially between the flow outlet and said seal fins. In another aspect of the invention, the flow outlet is axially adjacent a seal fin which is configured so as to be generally concave towards the flow outlet.