论文信息 - Consistent perturbation expansion for phase‐changing material in a finite domain

Consistent perturbation expansion for phase‐changing material in a finite domain

A self‐consistent perturbation expansion is developed for the case of a finite slab of phase‐changing material with constant boundary conditions corresponding to a ‘‘two‐phase’’ problem. Consistency is achieved by a power‐series expansion in functions of both solid and liquid Stefan numbers. Terms through third order are calculated.

Y. Zarmi | P. B. Kahn

[1] Sung Hwan Cho,et al. Heat-Conduction Problems With Melting or Freezing , 1969 .

[2] S. Weinbaum,et al. Singular Perturbation Theory for Melting or Freezing in Finite Domains Initially Not at the Fusion Temperature , 1977 .

[3] Robert J. Harrach. Analytical solutions for laser heating and burnthrough of opaque solid slabs , 1977 .

[4] S. Weinbaum,et al. Perturbation solutions for melting or freezing in annular regions initially not at the fusion temperature , 1978 .

[5] P. Schvan,et al. Time‐dependent heat flow calculation of cw laser‐induced melting of silicon , 1985 .

[6] G. J. Galvin,et al. Solidification kinetics of pulsed laser melted silicon based on thermodynamic considerations , 1985 .

[7] J. Mazumder,et al. Two‐dimensional, transient model for mass transport in laser surface alloying , 1985 .

[8] C. Charach,et al. Solidification in a finite, initially overheated slab , 1985 .

[9] Transient phase‐change heat transfer in finite bodies: Universal bounds for the solidification (melting) time , 1986 .