scholarly journals Generalized Fourier's law for nondiffusive thermal transport: Theory and experiment

2019 ◽  
Vol 100 (8) ◽  
Author(s):  
Chengyun Hua ◽  
Lucas Lindsay ◽  
Xiangwen Chen ◽  
Austin J. Minnich
Keyword(s):  
Thermal Transport ◽  
Transport Theory ◽  
Fourier’S Law ◽  
Fourier's Law ◽  
Theory And Experiment

scholarly journals Thermal transport at the nanoscale: A Fourier's law vs. phonon Boltzmann equation study

2017 ◽  
Vol 121 (4) ◽  
pp. 044302 ◽  
Author(s):  
J. Kaiser ◽  
T. Feng ◽  
J. Maassen ◽  
X. Wang ◽  
X. Ruan ◽  
...  
Keyword(s):  
Boltzmann Equation ◽  
Thermal Transport ◽  
Fourier’S Law ◽  
Phonon Boltzmann Equation ◽  
Fourier's Law

scholarly journals Nondiffusive thermal transport and prediction of the breakdown of Fourier’s law in nanograting experiments

AIP Advances ◽  
2017 ◽  
Vol 7 (1) ◽  
pp. 015108 ◽  
Author(s):  
Zhengxian Qu ◽  
Dadong Wang ◽  
Yanbao Ma
Keyword(s):  
Thermal Transport ◽  
Fourier’S Law ◽  
Fourier's Law

scholarly journals Transient in-plane thermal transport in nanofilms with internal heating

2016 ◽  
Vol 472 (2186) ◽  
pp. 20150811 ◽  
Author(s):  
Yu-Chao Hua ◽  
Bing-Yang Cao
Keyword(s):  
Thermal Conductivity ◽  
Effective Thermal Conductivity ◽  
Diffusion Model ◽  
Temperature Rise ◽  
Thermal Transport ◽  
Heat Diffusion ◽  
Internal Heating ◽  
Fourier’S Law ◽  
Nanoscale Thermal Transport ◽  
Fourier's Law

Wide applications of nanofilms in electronics necessitate an in-depth understanding of nanoscale thermal transport, which significantly deviates from Fourier's law. Great efforts have focused on the effective thermal conductivity under temperature difference, while it is still ambiguous whether the diffusion equation with an effective thermal conductivity can accurately characterize the nanoscale thermal transport with internal heating. In this work, transient in-plane thermal transport in nanofilms with internal heating is studied via Monte Carlo (MC) simulations in comparison to the heat diffusion model and mechanism analyses using Fourier transform. Phonon-boundary scattering leads to larger temperature rise and slower thermal response rate when compared with the heat diffusion model based on Fourier's law. The MC simulations are also compared with the diffusion model with effective thermal conductivity. In the first case of continuous internal heating, the diffusion model with effective thermal conductivity under-predicts the temperature rise by the MC simulations at the initial heating stage, while the deviation between them gradually decreases and vanishes with time. By contrast, for the one-pulse internal heating case, the diffusion model with effective thermal conductivity under-predicts both the peak temperature rise and the cooling rate, so the deviation can always exist.

scholarly journals Fractional model for MHD flow of Casson fluid with cadmium telluride nanoparticles using the generalized Fourier’s law

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Nadeem Ahmad Sheikh ◽  
Dennis Ling Chuan Ching ◽  
Ilyas Khan ◽  
Hamzah Bin Sakidin ◽  
Muhammad Jamil ◽  
...  
Keyword(s):  
Energy Equation ◽  
Volume Fraction ◽  
Mhd Flow ◽  
Integral Transforms ◽  
Casson Fluid ◽  
Physical Parameters ◽  
Fourier’S Law ◽  
Fractional Model ◽  
Laplace Transformations ◽  
Fourier's Law

AbstractThe present work used fractional model of Casson fluid by utilizing a generalized Fourier’s Law to construct Caputo Fractional model. A porous medium containing nanofluid flowing in a channel is considered with free convection and electrical conduction. A novel transformation is applied for energy equation and then solved by using integral transforms, combinedly, the Fourier and Laplace transformations. The results are shown in form of Mittag-Leffler function. The influence of physical parameters have been presented in graphs and values in tables are discussed in this work. The results reveal that heat transfer increases with increasing values of the volume fraction of nanoparticles, while the velocity of the nanofluid decreases with the increasing values of volume fraction of these particles.

Stationary nonequilibrium states by molecular dynamics. Fourier's law

1982 ◽  
Vol 25 (5) ◽  
pp. 2778-2787 ◽  
Author(s):  
Alexander Tenenbaum ◽  
Giovanni Ciccotti ◽  
Renato Gallico
Keyword(s):  
Molecular Dynamics ◽  
Fourier’S Law ◽  
Stationary Nonequilibrium States ◽  
Nonequilibrium States ◽  
Fourier's Law

THE INFLUENCE OF THICKNESS ON THE MEASURED THERMAL CONDUCTIVITY OF FIBREBOARD AND ROCK WOOL

1938 ◽  
Vol 16a (4) ◽  
pp. 82-87
Author(s):  
J. D. Babbitt
Keyword(s):  
Thermal Conductivity ◽  
Surface Effects ◽  
Fourier’S Law ◽  
Hot Plate ◽  
Fourier's Law ◽  
Rock Wool ◽  
Measured Thermal Conductivity ◽  
Plate Apparatus

The thermal conductivity of samples of rock wool and fibreboard of various thicknesses (0.5 to 2.0 in.) was measured by means of a hot-plate apparatus. It was found that when surface effects were eliminated the conductivity obeyed Fourier's law.

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