Phase ll:solidifying process In solid oT,-a.ox Ts 0t x≤xr≤L OT. 0 H(T,-T) x=tL T。 In liquid: Cooling a T1 bath 8 L=1x xSxL oT, =0 xx=0 kj<ks Matching boundary conditions: T=T, x=xf a d心 ph dt x=x/ Initial condition: T=T,=T t=0Phase II: solidifying process 0 In liquid : ( ) In solid : 0 2 2 2 2                         x l L l l l s e x L s s L s s s x T x x x T t T T T k h x T x x L x T t T   Cooling bath Te x xL t 0 Initial condition : Matching boundary conditions:             l s i f f l l l s s l s f T T T x x dt dx h x T k x T k T T x x  kl<ks xf