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Emergence of Non-Fourier Hierarchies [PDF]
Entropy, 2018 The non-Fourier heat conduction phenomenon on room temperature is analyzed from various aspects. The first one shows its experimental side, in what form it occurs, and how we treated it.
Tamás Fülöp +7 more
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Exact and Analytic-Numerical Solutions of Lagging Models of Heat Transfer in a Semi-Infinite Medium [PDF]
Abstract and Applied Analysis, 2013 Different non-Fourier models of heat conduction have been considered in recent years, in a growing area of applications, to model microscale and ultrafast, transient, nonequilibrium responses in heat and mass transfer.
M. A. Castro +3 more
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Non-Fourier Heat Conduction of Nano-Films under Ultra-Fast Laser. [PDF]
Materials (Basel), 2023 The ultra-fast laser heating process of nano-films is characterized by an ultra-short duration and ultra-small space size, in which the classical Fourier law based on the hypothesis of local equilibrium is no longer applicable. Based on the Cattaneo–Vernotte (CV) model and the dual-phase-lag (DPL) model, the two-dimensional analytical solutions of heat
Mao Y, Liu S, Liu J, Yu M, Li X, Yang K.
europepmc +3 more sources
Fast Transient Thermal Analysis of Non-Fourier Heat Conduction Using Tikhonov Well-Conditioned Asymptotic Waveform Evaluation [PDF]
The Scientific World Journal, 2014 Non-Fourier heat conduction model with dual phase lag wave-diffusion model was analyzed by using well-conditioned asymptotic wave evaluation (WCAWE) and finite element method (FEM).
Sohel Rana +3 more
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Theories and heat pulse experiments of non-Fourier heat conduction
Communications in Applied and Industrial Mathematics, 2015 The experimental basis and theoretical background of non-Fourier heat conduction is shortly reviewed from the point of view of non-equilibrium thermodynamics. The performance of different theories is compared in case of heat pulse experiments.Comment: 12
Ván, Peter
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The one-dimensional Stefan problem with non-Fourier heat conduction [PDF]
International Journal of Thermal Sciences, 2019 We investigate the one-dimensional growth of a solid into a liquid bath, starting from a small crystal, using the Guyer-Krumhansl and Maxwell-Cattaneo models of heat conduction. By breaking the solidification process into the relevant time regimes we are
Calvo-Schwarzwälder, Marc +2 more
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Causality in non-fourier heat conduction
Journal of Physics Communications, 2022 Abstract We present a study of the causal response of non-Fourier heat conduction by introducing a dispersive generalized thermal susceptibility and show it obeys Kramers-Kronig relations. In particular, we discuss the Cattaneo-Vernotte and the dual-phase lag models.
A Camacho de la Rosa, R Esquivel-Sirvent
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Numerical analysis of non-Fourier heat conduction dynamics in the composite layer
Journal of Mechanical Engineering and Sciences, 2023 This paper presents the numerical analysis of non-Fourier heat conduction in thin composite layers under asymmetrical boundary conditions. In the thermal barriers such as steam and gas turbine blades, thin film coating are used to protect the blade from
R. Yuvaraj, R. Senthilkumar
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Case Studies in Thermal Engineering, 2023 In dire situations, such as the restricted spatial scale in nanoparticle systems and the analogous analysis of non-Fourier heat conduction and conventional heat conduction, the transmission of heat and momentum will exhibit non-linear and nonlocal ...
Sohail Rehman +5 more
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Crystals, 2022 Micro/nano-electrical discharge machining is an alternative preparation method for surface micro/nano-structures, but it is difficult to precisely control the size of the micro/nano-structures due to its unclear material removal mechanism.
Zhi Chen +3 more
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