APPROXIMATE DETERMINATION OF THE SHAPE OF SOLIDIFIED MATERIALS WITH EITHER SHRINKAGE OR EXPANSION

Abstract

The differences in densities between liquid and solid phases results in a concave surface during solidification. The final shape after complete solidification is obtained by considering the conservation of the nass without any reference to the detailed transport processes. An easy and quick procedure is described to predict the final shape of the solid phase for planar and cylindrical configurations. The results are validated by comparison with an existing data.