New perturbation method for planar phase-change processes with time-dependent boundary conditions

Ch Charach; Y. Zarmi; A. Zemel

doi:10.1063/1.339071

New perturbation method for planar phase-change processes with time-dependent boundary conditions

Ch Charach, Y. Zarmi, A. Zemel

The Swiss Institute for Dryland Environmental and Energy Research

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10 Scopus citations

Abstract

A new perturbation method is developed for one-dimensional and conduction-controlled melting in a planar slab. The approach is suitable for boundary conditions with small amplitude but almost arbitrary time dependence. The results are uniformly valid in time. The method is applied to the case of time-dependent heat flux boundary conditions and illustrated by the example of a steplike heat pulse.

Original language	English
Pages (from-to)	4375-4381
Number of pages	7
Journal	Journal of Applied Physics
Volume	62
Issue number	11
DOIs	https://doi.org/10.1063/1.339071
State	Published - 1 Jan 1987

ASJC Scopus subject areas

General Physics and Astronomy

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title = "New perturbation method for planar phase-change processes with time-dependent boundary conditions",

abstract = "A new perturbation method is developed for one-dimensional and conduction-controlled melting in a planar slab. The approach is suitable for boundary conditions with small amplitude but almost arbitrary time dependence. The results are uniformly valid in time. The method is applied to the case of time-dependent heat flux boundary conditions and illustrated by the example of a steplike heat pulse.",

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N2 - A new perturbation method is developed for one-dimensional and conduction-controlled melting in a planar slab. The approach is suitable for boundary conditions with small amplitude but almost arbitrary time dependence. The results are uniformly valid in time. The method is applied to the case of time-dependent heat flux boundary conditions and illustrated by the example of a steplike heat pulse.

AB - A new perturbation method is developed for one-dimensional and conduction-controlled melting in a planar slab. The approach is suitable for boundary conditions with small amplitude but almost arbitrary time dependence. The results are uniformly valid in time. The method is applied to the case of time-dependent heat flux boundary conditions and illustrated by the example of a steplike heat pulse.

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New perturbation method for planar phase-change processes with time-dependent boundary conditions

Abstract

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