Author

Abstract

A study of Laminar two dimensional transient solidification with time –
dependent natural convection in the melt is carried out. The mathematical model
for the numerical simulation is based on enthalpy porosity method. The governing
equations are descritized on a fixed grid by means of a finite volume technique.
The (SIMPLE) procedure was adopted to solve mass, momentum and energy
equations for pure phase change material (water) placed in a cooled rectangular
cavity. The cavity was cooled from top alone, right side wall alone, and right side
wall with top and bottom walls together. In the case of top cooling a parabolic
shaped pattern of ice water interface was formed. For the right side wall cooling
the effect of density changes has led to an abnormal flow circulation which has
moderately modified the heat balance of the freezing interface causing a colliding
of cool and warm fluid layers. A density variation was seen in the freezing
interface region in most of the cases. The results obtained show good agreement
with experimental and numerical results of other researchers for pure convection
with small discrepancies in the ice interface. These discrepancies may be
attributed to the physical modeling used for water freezing.

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