Incorporating boundary conditions in the heat conduction model

被引：2

作者：

Bertola, V. ^{[1
]}

Cafaro, E. ^{[2
]}

机构：

[1] Univ Edinburgh, Sch Engn & Elect, Edinburgh EH9 3JL, Midlothian, Scotland

[2] Politecn Torino, Dipartimento Energet, I-10129 Turin, Italy

来源：

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER | 2009年 / 52卷 / 3-4期

关键词：

MINIMUM ENTROPY PRODUCTION; LA CHALEUR; LEQUATION; THEOREM; WAVES;

D O I：

10.1016/j.ijheatmasstransfer.2008.07.019

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

This note introduces a mathematical derivation of the heat conduction model that incorporates boundary conditions. In particular, in the present approach boundary conditions are derived in parallel to the heat equation, while in the standard approach to heat conduction modelling they are appended at a later stage. Because of its peculiar mathematical formulation, this method allows modelling heat sources or sinks placed on the boundary. Furthermore, it is shown that when such heat sources depend linearly on the surface temperature and the heat flux, each of their points can be described as a point source emitting a heat wave directed into an infinitesimal volume in the neighbourhood of the surface. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：644 / 646

页数：3

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