Chvorinov's rule

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Chvorinov's Rule is a mathematical relationship that relates the solidification time for a simple casting to the volume and surface area of the casting. The relationship can be written as:

$t = B\times\left(\frac{V}{A}\right)^n.$

Where t is the solidification time, V is the volume of the casting, A is the surface area of the casting that contacts the mold, n is a constant, and B is the mold constant.

The mold constant B depends on the properties of the metal and mold and their initial temperatures. The constant n is usually 2.

The rule simply states that under the same conditions, a casting with large surface area and small volume will cool more rapidly than small surface areas and large volumes.