Equilibrium and non-equilibrium thermodynamic analysis of high-order dual-phase-lag heat conduction. (January 2017)

• Record Type: Journal Article
• Authors: Askarizadeh, Hossein; Baniasadi, Ehsan; Ahmadikia, Hossein
• Is Part Of: International journal of heat and mass transfer. Volume 104(2017:Jan.)
• Page Start: 301
• Page End: 309
• Publication Date: 2017-01
• Subjects: Dual-phase-lag heat conduction -- Local equilibrium thermodynamic -- Extended irreversible thermodynamic -- Entropy production rate -- Diffusion feature -- Wavelike feature; Heat -- Transmission -- Periodicals; Mass transfer -- Periodicals; Chaleur -- Transmission -- Périodiques; Transfert de masse -- Périodiques; Electronic journals; 621.4022
• DOI: 10.1016/j.ijheatmasstransfer.2016.08.060
• Languages: English
• ISSNs: 0017-9310

Abstract

Highlights: Analytical solution for high-order dual-phase-lag heat conduction is presented. The effects of high-order terms on the hyperbolic conduction are analyzed. The results are evaluated by conventional and extended irreversible thermodynamics. Abstract: The compatibility of dual-phase-lag (DPL) heat conduction with the hypothesis of local thermodynamic equilibrium (LTE) and extended irreversible thermodynamic is investigated. The analysis is based on evaluating the entropy production rate (EPR) for a solid slab that is exposed to a sudden temperature gradient at its boundaries. In this regard, an analytical solution is presented for the first-order and second-order approximations of the DPL model. It is shown that by extending the non-Fourier Cattaneo–Vernotte (C–V) wave model to the high-order DPL model, the unphysical values of the slab temperature that exist in the solution of C–V wave model cannot be generally eliminated. However, a set of phase lag times for the DPL model exist based on which these unphysical values can be omitted by increasing the diffusion versus the wavelike features.