Constraints and properties of linear heat transfer relations
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- 作者：Tae-Ho Song
- 关键词：Heat transfer relations ; Conductance matrix ; Diffusivity ; Reciprocal relations
- 刊名：Journal of Mechanical Science and Technology
- 出版年：2016
- 出版时间：March 2016
- 年：2016
- 卷：30
- 期：3
- 页码：1377-1388
- 全文大小：739 KB
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1. School of Mechanical Engineering, Aerospace and System Engineering, Korea Advanced Institute of Science & Technology, Yuseong-gu, Daejeon, 305-701, Korea - 刊物类别：Engineering
- 刊物主题：Mechanical Engineering
Structural Mechanics
Control Engineering
Industrial and Production Engineering - 出版者：The Korean Society of Mechanical Engineers
- ISSN：1976-3824
文摘
Heat transfer relations among discrete segments expressed in the form \({q_i} = \sum\limits_{j = 1}^N {{C_{ij}}} f\left( {{T_j}} \right)\), with f (T) being a monotonically increasing function of T, are examined to find the properties of the conductance matrix C using constraints such as the first and second laws of thermodynamics, rule of diffusivity, and Onsager’s reciprocal relations. The obtained properties are; zero sum for each row (leading to the expression \({q_i} = \sum\limits_{j = 1}^N {{C_{ij}}} \left[ {f\left( {{T_j}} \right) - f\left( {{T_i}} \right)} \right]\) and the singularity of C ) and for each column, non-negativeness of off-diagonal entries (diffusivity), and negative semi-definiteness of C. Matrix C is symmetric for time-reversible independent processes such as conduction and radiation (either spectral or total), but not for convection. The diffusivity may be overcome in a new meta-material with a promising applicability. The obtained relations may be used as convenient tools of formulation and may be further applied to other heat and mass transfer processes.