The Effect of Droplet Solidification Upon Two-Phase Nozzle Flow

Abstract

The handling of changes of phase in perturbation treatments of two-phase nozzle flow requires particular care. Droplet solidification, the phase change considered here, introduces two novel complications in a perturbation treatment of the problem. First, the boundaries of the zone of solidification are shifted by first-order corrections to the droplet temperature and liquid fraction, and these shifts introduce, in turn, further first-order corrections. This feedback effect is of particular interest and the magnitudes of the corrections are very significant. Second, a singular perturbation procedure is required to handle the problem at points where solidification first starts and where it is completed. The techniques presented here should be applicable to other problems involving phase change in two-phase flow.