Global and exponential attractors for mixtures of solids with Fourier’s law

2022 ◽  
Vol 63 ◽  
pp. 103391
Author(s):  
M.M. Freitas ◽  
A.J.A. Ramos ◽  
D.S. Almeida Júnior ◽  
P.T.P. Aum ◽  
J.L.L. Almeida
Keyword(s):  
Fourier’S Law ◽  
Exponential Attractors ◽  
Fourier's Law

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

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

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.

scholarly journals On the probability of violations of Fourier’s law for heat flow in small systems observed for short times

2010 ◽  
Vol 132 (2) ◽  
pp. 024501 ◽  
Author(s):  
Denis J. Evans ◽  
Debra J. Searles ◽  
Stephen R. Williams
Keyword(s):  
Heat Flow ◽  
Fourier’S Law ◽  
Small Systems ◽  
Fourier's Law ◽  
Short Times
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