Universal transmission conditions for thin reactive heat-conducting interphases

Wiktoria Miszuris; Andreas Ochsner

doi:10.1007/s00161-012-0241-1

Universal transmission conditions for thin reactive heat-conducting interphases

Wiktoria Miszuris, Andreas Ochsner^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

New imperfect transmission conditions for a thin nonlinear heat-resistant reactive interphase situated between two different materials are evaluated. The transmission conditions are mathematically derived under a minimum set of assumptions, much less restrictive in comparison with those known in the literature. Numerical simulations based on the finite element method demonstrate the high efficiency of the approach by evaluating the involved error.

Original language	English
Pages (from-to)	1-21
Number of pages	21
Journal	Continuum Mechanics and Thermodynamics
Volume	25
Issue number	1
DOIs	https://doi.org/10.1007/s00161-012-0241-1
Publication status	Published - Jan 2013

Keywords

Heat transfer
Thin interphase
Nonlinear transmission conditions
Numerical simulation
COMPOSITE-MATERIALS
INTERPHASE/IMPERFECT INTERFACE
SOFT
ELASTICITY

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abstract = "New imperfect transmission conditions for a thin nonlinear heat-resistant reactive interphase situated between two different materials are evaluated. The transmission conditions are mathematically derived under a minimum set of assumptions, much less restrictive in comparison with those known in the literature. Numerical simulations based on the finite element method demonstrate the high efficiency of the approach by evaluating the involved error.",

keywords = "Heat transfer, Thin interphase, Nonlinear transmission conditions, Numerical simulation, COMPOSITE-MATERIALS, INTERPHASE/IMPERFECT INTERFACE, SOFT, ELASTICITY",

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AB - New imperfect transmission conditions for a thin nonlinear heat-resistant reactive interphase situated between two different materials are evaluated. The transmission conditions are mathematically derived under a minimum set of assumptions, much less restrictive in comparison with those known in the literature. Numerical simulations based on the finite element method demonstrate the high efficiency of the approach by evaluating the involved error.

KW - Heat transfer

KW - Thin interphase

KW - Nonlinear transmission conditions

KW - Numerical simulation

KW - COMPOSITE-MATERIALS

KW - INTERPHASE/IMPERFECT INTERFACE

KW - SOFT

KW - ELASTICITY

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JO - Continuum Mechanics and Thermodynamics

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Universal transmission conditions for thin reactive heat-conducting interphases

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Keywords

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