Next Article in Journal
Quantum Minimum Distance Classifier
Next Article in Special Issue
Energetic and Exergetic Analysis of a Transcritical N2O Refrigeration Cycle with an Expander
Previous Article in Journal
Cosine Similarity Entropy: Self-Correlation-Based Complexity Analysis of Dynamical Systems
Previous Article in Special Issue
The Mean Field Theories of Magnetism and Turbulence
Open AccessArticle

Entropic Constitutive Relation and Modeling for Fourier and Hyperbolic Heat Conductions

Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China
*
Author to whom correspondence should be addressed.
Entropy 2017, 19(12), 644; https://doi.org/10.3390/e19120644
Received: 16 September 2017 / Revised: 23 November 2017 / Accepted: 27 November 2017 / Published: 1 December 2017
(This article belongs to the Special Issue Phenomenological Thermodynamics of Irreversible Processes)
Most existing phenomenological heat conduction models are expressed by temperature and heat flux distributions, whose definitions might be debatable in heat conductions with strong non-equilibrium. The constitutive relations of Fourier and hyperbolic heat conductions are here rewritten by the entropy and entropy flux distributions in the frameworks of classical irreversible thermodynamics (CIT) and extended irreversible thermodynamics (EIT). The entropic constitutive relations are then generalized by Boltzmann–Gibbs–Shannon (BGS) statistical mechanics, which can avoid the debatable definitions of thermodynamic quantities relying on local equilibrium. It shows a possibility of modeling heat conduction through entropic constitutive relations. The applicability of the generalizations by BGS statistical mechanics is also discussed based on the relaxation time approximation, and it is found that the generalizations require a sufficiently small entropy production rate. View Full-Text
Keywords: entropic constitutive relation; Fourier’s law; hyperbolic heat conduction; statistical mechanics entropic constitutive relation; Fourier’s law; hyperbolic heat conduction; statistical mechanics
MDPI and ACS Style

Li, S.-N.; Cao, B.-Y. Entropic Constitutive Relation and Modeling for Fourier and Hyperbolic Heat Conductions. Entropy 2017, 19, 644.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop