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Propagation of a Boundary of Fusion

Published online by Cambridge University Press:  18 May 2009

Stewart Paterson
Stewart Paterson
Affiliation:
Imperial Chemical Industries Ltd Nobel Division Research Department Stevenston
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We consider a volume of material, divided into two regions 1 and 2. each of density ρ, by a moving surface S. On S a change of phase occurs, at a definite temperature (which we may take to be zero) and with absorption or liberation of a latent heat L per unit mass. If θl, kl, K1 are the temperature, thermal conductivity and diffusivity of phase 1, and θ2, k2, K2 corresponding quantities for phase 2, the surface S is the isothermal

and the boundary condition on this surface is

Subscript letters denote partial differentiation.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 1 , Issue 1 , January 1952 , pp. 42 - 47
Copyright
Copyright © Glasgow Mathematical Journal Trust 1952

References

REFERENCES

(1)Stefan, , Wied. Ann., 41, 725 (1890); 42, 269 (1891).CrossRefGoogle Scholar
(2)Carslaw, and Jaeger, , Conduction of Heat in Solids, Oxford, 1947, pp. 71, 227.Google Scholar