Stefan number explained

The Stefan number (St or Ste) is defined as the ratio of sensible heat to latent heat. It is given by the formula

Ste = (c _{p} \Delta T)/(L) ,

where

• c_p is the specific heat,
  • c_p is the specific heat of solid phase in the freezing process while c_p is the specific heat of liquid phase in the melting process.
• ∆T is the temperature difference between phases,
• L is the latent heat of melting.

It is a dimensionless parameter that is useful in analyzing a Stefan problem. The parameter was developed from Josef Stefan's calculations of the rate of phase change of water into ice on the polar ice caps and coined by G.S.H. Lock in 1969.^[1] The problems origination is fully described by Vuik^[2] and further commentary on its place in Josef Stefan's larger career can be found in ^[3]

Notes and References

1. Lock, G. S. H. (1969). On the use of asymptotic solutions to plane ice -water problems
2. Web site: Vuik . C . 1993 . Some historical notes about the Stefan problem . Delft, University of Technology.
3. Crepeau, J. (2007). Josef stefan: His life and legacy in the thermal sciences. Experimental Thermal and Fluid Science, 31(7), 795-803. doi:https://doi.org/10.1016/j.expthermflusci.2006.08.005