A New Geometric Reasoning Technique for Hot Spot Prediction in Sand Casting

In this paper, we report the use of medial axes
transformation technique to predict temperature pro-
¯le and hot spots in solidifying castings. In essence,
we proposed a very simplistic yet comprehensive tem-
perature interpolation algorithm which can solve the
solidi¯cation problem qualitative and quantitatively.
The method has the advantages of both the geometric
reasoning technique and the conventional numerical
simulation. We illustrate the feasibility of the pro-
posed temperature interpolation technique by com-
paring its solutions with both pure geometric reason-
ing technique and the ¯nite element method.