A tubular member has at least one drainage section including an inlet inlet and at least one self-adjustable flow control device to control the flow of fluid into the drainage section from a well. The flow control devices are located in an annular space surrounding a pipe between the inlet and an outlet is provided for fluid flowing into the drainage section. The annular space forms a flow path through the flow control device passing by a valve body arranged to adjust the flow area in response to the pressure difference across the flow control device and/or changes in density of the fluid. The flow control device includes a valve seat cooperating with the valve body. The valve body includes an annular resilient valve member arranged to be deformed at least in a radial direction, in order to reduce or increase the flow area through the flow control device.