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The influence of long-range interactions on the progress of heat waves in the radiationcooling disperse flow is considered. It is shown that the system exhibits oscillations attendant on the process of establishing an equilibrium temperature profile. The oscillation amplitude and the rate of oscillation damping are determined. The conditions under which the radiation cooling process can be unstable with respect to temperature field perturbations are revealed. The results of theoretical analysis and numerical calculation of the actual droplet flow are compared.

The problem of radiation cooling of a moving dispers stream is solved taking into account the heat transfer along the movement of the stream due to the action of the radiation heat conduction mechanism. Taking this phenomenon into account leads to the formation of a heat wave region in the solution of model equations. The characteristic parameters of this heat wave are calculated, the influence of heat waves on the stability of the process of forming the equilibrium flow temperature profile is discussed.