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Basic Problems of Non-Fourier Heat Conduction

2019
In this chapter, the non-Fourier heat conduction equations along with the boundary and initial conditions are solved for one-dimensional (1D) media with semi-infinite or finite dimensions in Cartesian, cylindrical, and spherical coordinates.
Zengtao Chen, Abdolhamid Akbarzadeh
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Non-Fourier Heat Conduction in an Exponentially Graded Slab

Прикладная механика и техническая физика, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Temperature in nonequilibrium states and non-Fourier heat conduction

Physical Review E, 2013
Macroscopic models beyond Fourier's law for fast-transient heating and heat transport in nanosystems have been proposed. Consequently, some basic quantities such as entropy and temperature need to be modified. From the viewpoint of the thermomass theory, we show that in nonequilibrium systems where heat conduction occurs, the static pressure of ...
Yuan Dong, Bing-Yang Cao, Zeng-Yuan Guo
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Thermomass Theory for Non-Fourier Heat Conduction

2014
With the rapid development of femtosecond laser and micro/nano processing techniques, researchers face great challenges in thermal management and analysis under the extreme conditions. As the theoretical basis of heat transfer, Fourier’s law may break down at femtosecond temporal scales and nanometer spatial scales. In 1822, Fourier stated in his book “
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Non-Fourier Heat Conduction Modeling in a Finite Medium

International Journal of Thermophysics, 2004
A novel, simple iterative algorithm is used to calculate the temperature distribution in a finite medium for the case of non-Fourier (hyperbolic) heat conduction. In this algorithm the temperature is calculated explicitly in one simple calculation that is repeated for each time step as the heat wave propagates through the medium with constant speed ...
J. Gembarovic, J. Gembarovic
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Nonequilibrium Temperature in Non-Fourier Heat Conduction

2015
The definition of temperature is the foundation of thermodynamics. In extended irreversible thermodynamics (EIT) which goes beyond the classical one to be compatible with the non-Fourier heat conduction, the nonequilibrium temperature is defined. Based on the thermomass theory, it is shown that the static and stagnant pressures of the thermomass flow ...
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Molecular Dynamics Simulation of Non-Fourier Heat Conduction

First International Conference on Integration and Commercialization of Micro and Nanosystems, Parts A and B, 2007
Unsteady heat conduction is known to deviate significantly from Fourier’s law when the system time and length scales are within certain temporal and spatial windows of relaxation. Classical molecular dynamics simulations were used to investigate unsteady heat conduction in argon thin films with a sudden temperature increase at one surface to study the ...
Qi-Xin Liu, Pei-Xue Jiang, Heng Xiang
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Numerical simulation of fractional non-Fourier heat conduction in skin tissue

Journal of Thermal Biology, 2019
In this paper, a fractional non-Fourier heat conduction model is employed to simulate the heat diffusion through the skin tissue, as a biological system, upon immediate contact with a heat source. In order to study skin models and different boundary aspects, two problems: the three-layer skin tissue in contact with a hot water source and a single-layer
P, Goudarzi, A, Azimi
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Non-Fourier heat conduction in 2D thermal metamaterials

Materials Today Communications, 2023
Zheng-Yang Li   +9 more
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Equation of motion of a phonon gas and non-Fourier heat conduction

Journal of Applied Physics, 2007
Heat conduction in solids is due to the motion of the phonon gas. A more general description of the heat transport in solids includes consideration of the mass, pressure, and inertial force of the phonon gas. The mass of the phonon gas refers to the equivalent mass of its energy based on Einstein’s mass-energy relation.
Bing-Yang Cao, Zeng-Yuan Guo
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