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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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Nicht-Fouriersche Wärmeleitung (non-Fourier heat conduction)

2000
Es handelt sich um eine Form der Warmeleitung, zu deren Beschreibung die Konstitutive Gleichung — als Materialgleichung — in Form des Fourierschen WArmeleitungsgesetzes in der WArmeleitungsgleichung nicht ausreicht, weil bestimmte EfFekte damit nicht erfast werden konnen.
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Non-Fourier heat conduction in a plane slab with prescribed boundary heat flux

Heat and Mass Transfer, 1996
The non-stationary heat conduction in an infinitely wide plane slab with a prescribed boundary heat flux is studied. An arbitrary time dependent boundary heat flux is considered and a non-vanishing thermal relaxation time is assumed. The temperature and the heat flux density distributions are determined analytically by employing Cattaneo-Vernotte's ...
Barletta A., Zanchini E.
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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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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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Fuel rod model based on Non-Fourier heat conduction equation

Annals of Nuclear Energy, 2009
Abstract In this paper we explore the applicability of a fuel rod mathematical model based on Non-Fourier transient heat conduction as constitutive law for the Light Water Reactors transient analysis (LWRs). In the classical theory of diffusion, Fourier law of heat conduction is used to describe the relation between the heat flux vector and the ...
G. Espinosa-Paredes   +1 more
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Radial integration BEM for solving non-Fourier heat conduction problems

Engineering Analysis with Boundary Elements, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yao, Wei-An, Yao, Hong-Xiao, Yu, Bo
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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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Analysis of non-Fourier heat conduction using smoothed particle hydrodynamics

Applied Thermal Engineering, 2011
Abstract A gridless discretization technique namely smoothed particle hydrodynamics (SPH) is used to analyze non-Fourier heat conduction. First, the technique has been employed to compute the temperature evolution in a slab subjected to an initial non-uniform temperature distribution with both the ends insulated.
V. Vishwakarma, A.K. Das, P.K. Das
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Dynamical Governing Equations of Non-Fourier Heat Conduction

2015
Thermal energy has its corresponding equivalent mass according to Einstein’s mass–energy equivalence, which is termed as thermomass. The thermomass theory established the continuous governing equation for the non-Fourier heat conduction. The mass balance equation of thermomass gives the energy conservation equation while the momentum balance equation ...
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