A Stefan Problem for Composite Materials with an Arbitrary Number of Moving Phase-Transition Boundaries

被引：0

作者：

Kuznetsova, E. L. ^{[1
]}

Zhavoronok, S. I. ^{[2
]}

机构：

[1] Natl Res Univ, Moscow Aviat Inst, Moscow 125993, Russia

[2] Russian Acad Sci, Inst Appl Mech, Moscow 125040, Russia

来源：

UCHENYE ZAPISKI KAZANSKOGO UNIVERSITETA-SERIYA FIZIKO-MATEMATICHESKIE NAUKI | 2023年 / 165卷 / 03期

基金：

俄罗斯科学基金会;

关键词：

heat transfer; Stefan problem; moving boundary; composite material; destruction of binding agents; analytical solution; HALF-SPACE;

D O I：

10.26907/2541-7746.2023.3.236-245

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A Stefan problem of heat transfer in semi-infinite bodies with an arbitrary number of unsteady moving boundaries during phase transitions was solved. Such problems arise when composite materials are heated at high temperatures, causing the binding agents to decompose (destruct) thermally, which leads to the formation of moving boundaries in the onset and end of phase transitions, mass transfer, etc. An analytical solution of the Stefan problem with an arbitrary number of unsteady moving boundaries was obtained. The heat transfer process with two moving boundaries was analyzed.

引用

页码：236 / 245

页数：10

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