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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, 2007Unsteady 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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Non-Fourier Heat Conduction Modeling in a Finite Medium
International Journal of Thermophysics, 2004A 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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Temperature in nonequilibrium states and non-Fourier heat conduction
Physical Review E, 2013Macroscopic 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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Numerical simulation of fractional non-Fourier heat conduction in skin tissue.
Journal of Thermal Biology, 2019In 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 an Exponentially Graded Slab
Прикладная механика и техническая физика, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Non-Fourier heat conduction in oil-in-water emulsions
International Journal of Heat and Mass Transfer, 2019Abstract Emulsions have widely been used in various application, e.g. in energy system as a potential second refrigerant. However, there is a lack of comprehensive study on extraordinary effective thermal conductivity enhancement in the oil-in-water (O/W) emulsions, and effects of temperature and droplet size were not considered in the widely used ...
Fang Liu +5 more
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Nonequilibrium Temperature in Non-Fourier Heat Conduction
2015The 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)
2000Es 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, 1996The 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
2014With 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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