Chvorinov's rule

Named after Czech engineer Nicolas Chvorinov, who described the rule in 1940.

Chvorinov's rule

1. (metallurgy) An empirical formula used to calculate the solidification time of cast metal. The rule states that ${\displaystyle t=B\left({\frac {V}{A}}\right)^{n}}$, where ${\displaystyle t}$ is the solidification time, ${\displaystyle B}$ is a constant whose value depends on the material properties of the cast metal, ${\displaystyle V}$ is the volume of the cast, ${\displaystyle A}$ is the surface area of the cast that contacts the mold, and ${\displaystyle n}$ is a constant that is usually around 1.5 to 2.
   • 2024 August 21, Seung Uk Mun, Gun Oh, Jun Hwan Kim, Sang-Gyu Park, Byung Mook Weon, “Solidifcation-induced nonuniformity in U–Zr–RE metallic nuclear fuel rods”, in Scientific Reports, volume 14, London: Nature Portfolio, →DOI, →ISSN, →OCLC, page 6:

     Using Chvorinov's rule, we estimate the solidification time (${\displaystyle t_{s}}$) of the liquid U metal, which can be determined by the volume of the molten alloy V (~ 4856 mm³), the surface area of the molten alloy A (~ 4311 mm²), the shape constant B [s/mm²], and the scaling parameter n (typically, ${\displaystyle n=2}$), as follows: […]

• Chvorinov's rule on Wikipedia.Wikipedia