The previously developed model of dynamic and thermal interaction of dilute mist flow with hot bodies is applied to study heat exchange in the circumstance when an axisymmetric two-phase jet falls normally onto a plate, the temperature of which exceeds the boiling temperature of the dispersed liquid. Depending on their approach velocity, impinging droplets either rebound, or come in direct contact with the plate and eventually evaporate. thus providing for an essential increase in the total heat removal. Such a crisis causes the occurrence of a temperature interval in which heat transfer from the plate decreases as the plate temperature grows. The very existence and properties of the mentioned anomalous region are explained in a good agreement with experimental findings. The results are also generalized to heat transfer involving polydisperse spray jets.