Chvorinov's rule


Chvorinov's rule is a mathematical relationship first expressed by Czech engineer Nicolas Chvorinov in 1940, that relates the solidification time for a simple casting to the volume and surface area of the casting. In simple terms the rule establishes that under otherwise identical conditions, the casting with large surface area and small volume will cool more rapidly than a casting with small surface area and a large volume. The relationship can be written as:
where is the solidification time, is the volume of the casting, is the surface area of the casting that contacts the mold, is a constant, and is the mold constant. The mold constant depends on the properties of the metal, such as density, heat capacity, heat of fusion and superheat, and the mold, such as initial temperature, density, thermal conductivity, heat capacity and wall thickness. The S.I. units of the mold constant are. According to Askeland, the constant is usually 2, however Degarmo claims it is between 1.5 and 2. The mold constant of Chvorinov's rule,, can be calculated using the following formula:
where
It is most useful in determining if a riser will solidify before the casting, because if the riser solidifies first then defects like shrinkage or porosity can form.