A system can include a flow measurement device positionable in a flow path for measuring a property of the fuel flowing through the flow path and a shutdown device positionable in the flow path for controlling the fuel flow through the flow path. The system can also include a computing device that is communicatively coupled to the flow measurement device for receiving the fuel flow property and from which the presence of two-phase flow or multiphase flow can be detected. The computing device is also communicatively coupled to the shutdown device for controlling fuel flow through the flow path in response to the detection of two-phase flow or multiphase flow.