Analytical Model for Peak Temperature within a Sodium-Water Reaction Jet

A model for predicting the peak temperature within an oxidizer-steam jet submerged in molten sodium is described. Previous experimental and theoretical work by the present authors has shown that a single, representative droplet size may be used to model droplet-to-gas heat and mass exchange within a submerged jet and that the appropriate droplet size is suggested by assuming that the submerged jet behaves like a plane jet airblast atomizer. These findings are exploited here to develop a rational, integral two-fluid model of the centerline temperature within the submerged steam jet carrying entrained sodium drops and products of combustion. Reasonable agreement with available measurements of the peak centerline temperature within steam-in-sodium jets is obtained.