Heat flow: Difference between revisions

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(New page: ==Fourier's law of conduction== :<math>{\mathbf Q}=-k(T) \nabla T</math> where <math>{\mathbf Q}</math> is the heat current, ''T'' is the temperature, and ''k(T)'' is the heat conduc...)
 
(Added a recent publication + slight tidy.)
 
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{{stub-general}}
==Fourier's law of conduction==
==Fourier's law of conduction==
:<math>{\mathbf Q}=-k(T)  \nabla T</math>
:<math>{\mathbf Q}=-k(T)  \nabla T</math>


where <math>{\mathbf Q}</math> is the heat current, ''T'' is the [[temperature]], and ''k(T)'' is the heat conductivity tensor of the  
where <math>{\mathbf Q}</math> is the [[heat]] current, <math>T</math> is the [[temperature]], and <math>k(T)</math> is the [[thermal conductivity ]]tensor of the  
material.
material.
==Heat flow in one dimension==
==Heat flow in one dimension==
*[http://dx.doi.org/10.1038/421327a Roberto Livi and Stefano Lepri "Heat in one dimension", Nature '''421''' p. 327 (2003)]
<ref>[http://dx.doi.org/10.1103/PhysRevLett.89.200601 Onuttom Narayan and Sriram Ramaswamy "Anomalous Heat Conduction in One-Dimensional Momentum-Conserving Systems", Physical Review Letters '''89''' 200601 (2002)]</ref>
*[http://dx.doi.org/10.1103/PhysRevLett.89.200601 Onuttom Narayan and Sriram Ramaswamy "Anomalous Heat Conduction in One-Dimensional Momentum-Conserving Systems", Physical Review Letters '''89''' 200601 (2002)]
<ref>[http://dx.doi.org/10.1038/421327a Roberto Livi and Stefano Lepri "Heat in one dimension", Nature '''421''' p. 327 (2003)]</ref>
==References==
==References==
<references/>
;Related reading
*[http://dx.doi.org/10.1063/1.4914872  Luciano C. Lapas, Rogelma M. S. Ferreira, J. Miguel Rubí, and Fernando A. Oliveira "Anomalous law of cooling", Journal of Chemical Physics '''142''' 104106 (2015)]
[[category: non-equilibrium thermodynamics]]
[[category: non-equilibrium thermodynamics]]

Latest revision as of 19:15, 16 March 2015

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Fourier's law of conduction[edit]

where is the heat current, is the temperature, and is the thermal conductivity tensor of the material.

Heat flow in one dimension[edit]

[1] [2]

References[edit]

Related reading