Abstract
A short-time closed-form solution is developed for the melting or solidification of a halfspace under a general surface heat input, such that change of phase starts at a point of the surface, and then spreads simultaneously both towards the interior of the body and along its surface. The solution is obtained by the embedding technique, and show that the shape of the phase intersurface is, when suitably normalized, a universal function, i. e. it is independent of the distribution and rate of the applied heat input and of the material properties. Initial melt propagation in directions normal to and along the surface are respectively proportional to (
t
-
t
m
)
3/2
and (
t
-
t
m
)
½
, where
t
m
is the time of start of melting.
Reference27 articles.
1. Abramowitz M. & Stegun I. A. (eds.) 1967 Handbook of mathematical functions. National Bureau of Standards Applied Mathematics Series 55 U.S. Government Printing Office.
2. A Method of Heat Conduction Analysis of Melting and Solidification Problems
3. Boley B. A. 1964 The analysis of problems of heat conduction and melting. High temperature structures and materials. Proc. Sym p. on N aval Structural Mechanics pp. 260-315. New York: PergamonPress.
4. A general starting solution for melting and solidifying slabs
5. Boley B. A. 1970 Uniqueness of solution in three-dimensional melting and solidification problems Tech. Rep. no. 1 Contract no. N00014-A-0077-0009-Office of Naval Research Dep. Theor. Appl. Mech. Cornell Univ.
Cited by
16 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献