Diffusion of thermal disturbances in two-dimensional Cartesian transient heat conduction

被引：39

作者：

de Monte, Filippo ^{[1
]}

Beck, James V. ^{[2
]}

Amos, Donald E. ^{[3
]}

机构：

[1] Univ Aquila, Dipartimento Ingn Meccan Energet & Gestionale, I-67040 Laquila, Italy

[2] Michigan State Univ, Dept Mech Engn, E Lansing, MI 48824 USA

[3] Sandia Natl Labs, Albuquerque, NM 87110 USA

来源：

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER | 2008年 / 51卷 / 25-26期

关键词：

Diffusion; Thermal disturbances; Computational saving; Penetration time; Deviation time; Visual time; Differential formulation;

D O I：

10.1016/j.ijheatmasstransfer.2008.05.015

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

This paper analyzes the diffusion of thermal disturbances in heat-conducting two-dimensional rectangular bodies through characteristic times, such as penetration and deviation times, denoting their effects within a certain order of magnitude. A single basic criterion governing the above diffusion is derived thanks to the similarity of the findings. it allows very accurate solutions to be obtained considering in advance only the physical region of interest in place of considering the complete body. Therefore, it is efficient in terms of modeling and computational effort in numerically based methods as well as analytical techniques. In the former case, the grid domain can considerably be reduced. In the latter case, the number of terms needed to obtain long-time solutions when time-partitioning is applied can significantly be limited. Also, complex 1D and 2D semi-infinite problems are solved explicitly in the paper and evaluated numerically as part of the analysis. (c) 2008 Elsevier Ltd. All rights reserved.

引用

页码：5931 / 5941

页数：11

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