Abstract: Heat is removed from the blood flow by heat exchange rather than cold-liquid injection; resulting temperature changes are monitored. Flow rate is found from monitored temperature and known parameters related to the amount of heat removed. Preferably heat is removed by pumping cold liquid into a sealed balloon or sheath along a catheter, which is in the blood stream. The balloon acts as a heat exchanger; its design optimizes that function. Temperature can be monitored by a thermistor or other sensor closer to the tip of the same catheter. Alternatively it appears possible to use blood-temperature measurements taken just outside the balloon, or even within the balloon, if the system is calibrated to account for the relation between the blood flow rate and the heat lost from balloon to blood.