Cooling flow control module for a turbomachine

A flow control module (40) for a turbomachine includes an inlet (44) extending to an outlet (45) through a flow passage (47) having at least one side wall. A flow control member (80) is arranged within the flow control module (40). The flow control member (80) is secured to the at least one side wall between the inlet (44) and the outlet (45). The flow control member (80) is selectively passively activated to extend into the flow passage (47) to block cooling fluid passing through the flow control module (40).