There are considered the methods of mathematical and physical modeling of the heatmasstransfer in storage facilities of different types {water pools, “dry” cask type storages}. There are shown the computational results, obtained in application to the storage facilities, located at nuclear power plant territory. There are considered the technological operations, connected with the spent fuel transference from interim “wet” storage to a longer term storage in casks facility {cask’s loading with fuel, its drying under vacuum}. Special attention is devoted to an accident situation in “wet” storage — a loss of the coolant circulation through pool and following loss of water due evaporation. Problems of further investigations are formulated.

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