A vane cooling system for a gas turbine engine comprises a vane (20a) arranged on a stator and having a chamber (27,28) extending continuously from a radially inner end to a radially outer end of the vane. The vane (20a) has a first inlet (41) and a second inlet (42). A first cooling fluid feed (54) in communication with the first inlet (41) and a second cooling fluid feed (43) in communication with the second inlet (42). The first cooling fluid feed (54) has a higher pressure than the second cooling fluid feed (43). A flow adjustment device (45) is arranged for adjusting a flow of the second cooling fluid feed (43) into the second inlet (42). The chamber is divided by a restrictor plate (25, 26) to provide an inner chamber (27) and a wall-side chamber (28) bordering the inner chamber (27). The first inlet (41) enters the wall-side chamber (28) and the second inlet (42) enters the central chamber (27).