The rotatable machine includes a compressor and an inner annular casing circumscribing at least a portion of the compressor. The inner annular casing includes an outer surface in a radial direction, an upper portion in a vertical direction, and a lower portion in a vertical direction. The clearance control system includes a manifold system including at least one conduit extending circumferentially around the lower portion of the inner annular casing. The clearance control system includes a header system including at least one header extending circumferentially around only the lower portion of the inner annular casing. The at least one header configured to receive a flow of cooling fluid from the at least one conduit. The at least one header configured to channel the flow of cooling fluid to the lower portion of the outer surface of the inner annular casing.