Constraints and properties of linear heat transfer relations

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Heat transfer relations among discrete segments expressed in the form , 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 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
Publisher
KOREAN SOC MECHANICAL ENGINEERS
Issue Date
2016-03
Language
English
Article Type
Article
Keywords

CONDUCTIVITY; RECIPROCITY; SIMULATION; LAW

Citation

JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY, v.30, no.3, pp.1377 - 1388

ISSN
1738-494X
DOI
10.1007/s12206-016-0244-0
URI
http://hdl.handle.net/10203/208657
Appears in Collection
ME-Journal Papers(저널논문)
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