A system, method and computer-readable medium for monitoring a fluid injection at a downhole location in a wellbore is disclosed. A member is provided in the wellbore. The member includes a passage for flow of fluid and a fiber optic cable including a plurality of temperature sensitive sensors wrapped around the member. A selected temperature signal is imparted into the fluid flowing in the member. A temperature of the fluid exiting the member at the downhole location is measured using the plurality of temperature sensors. The measured temperature and the imparted temperature signal are compared to determine a flow parameter of the injected fluid.