Article (Scientific journals)
General constitutive equations of heat transport at small length scales and high frequencies with extension to mass and electrical charge transport
Machrafi, Hatim; Lebon, Georgy
2016In Applied Mathematics Letters, 52, p. 30-37
Peer Reviewed verified by ORBi
 

Files


Full Text
AML2016.pdf
Author postprint (755.24 kB)
Download

All documents in ORBi are protected by a user license.

Send to



Details



Keywords :
Ballistic heat transport; Extended irreversible thermodynamics; High-frequency; Small length-systems; Heat conduction; Heat transfer; Thermodynamics; Electrical charges; Heat transport; Heat transport equation; High frequency HF; Infinite numbers; Short time scale; Temperature boundary; Constitutive equations
Abstract :
[en] A generalized heat transport equation applicable at small length and short time scales is proposed. It is based on extended irreversible thermodynamics with an infinite number of high-order heat fluxes selected as state variables. Extensions of Fick's and Ohm's laws are also formulated. As a numerical illustration, heat conduction in a rigid body subject to fixed and oscillatory temperature boundary conditions is discussed. © 2015 Elsevier Ltd.
Disciplines :
Mathematics
Author, co-author :
Machrafi, Hatim ;  Université de Liège - ULiège > Département d'astrophys., géophysique et océanographie (AGO) > Thermodynamique des phénomènes irréversibles
Lebon, Georgy ;  Université de Liège - ULiège > Relations académiques et scientifiques (Sciences)
Language :
English
Title :
General constitutive equations of heat transport at small length scales and high frequencies with extension to mass and electrical charge transport
Publication date :
2016
Journal title :
Applied Mathematics Letters
ISSN :
0893-9659
Publisher :
Elsevier Ltd
Volume :
52
Pages :
30-37
Peer reviewed :
Peer Reviewed verified by ORBi
Funders :
AO-1999-110, BELSPO, Federaal Wetenschapsbeleid
Available on ORBi :
since 19 November 2017

Statistics


Number of views
30 (1 by ULiège)
Number of downloads
156 (1 by ULiège)

Scopus citations®
 
11
Scopus citations®
without self-citations
5
OpenCitations
 
8

Bibliography


Similar publications



Contact ORBi