68 巻 (2002) 665 号 p. 175-180
This paper investigates dynamic responses of ice-layer growth when water is cooled from the top boundary with time-varying cooling temperature. One-dimensional and two-dimensional numerical models, both of which consider convective heat transfer at the ice-water boundary, are formulated respectively. The Stefan number, the modified Rayleigh number and the cooling temperature are identified as the key parameters of solidifying process. The results of dynamic responses of ice-layer formation from the two models agree well, and this proves the usefulness of one-dimensional model at high Rayleigh number regime, where direct numerical simulation of convective flow is impossible.