Causality in non-fourier heat conduction

被引：6

作者：

Camacho de la Rosa, A. ^{[1
]}

Esquivel-Sirvent, R. ^{[1
]}

机构：

[1] Univ Nacl Autonoma Mexico, Inst Fis, Apartado Postal 20-364, Cdmx 01000, Mexico

来源：

JOURNAL OF PHYSICS COMMUNICATIONS | 2022年 / 6卷 / 10期

关键词：

causality; non-fourier; heat transport; DUAL-PHASE-LAG; KRAMERS-KRONIG; MODEL; STABILITY; CATTANEO; VERNOTTE;

D O I：

10.1088/2399-6528/ac9774

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present a study of the causal response of non-Fourier heat conduction by introducing a dispersive generalized thermal susceptibility and show it obeys Kramers-Kronig relations. In particular, we discuss the Cattaneo-Vernotte and the dual-phase lag models. The constitutive equations are written as a linear response theory and determine the conditions for which the dual-phase lag model does not satisfy Kramers-Kronig relations. An alternative model is presented to describe non-Fourier transport using the similarity with the causal response of viscoelastic materials to avoid this unphysical issue.

引用

页数：9

共 50 条

[31] Non-Fourier heat conduction in a hollow sphere with periodic surface heat flux
Shirmohammadi, Reza
Moosaie, Amin
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 2009, 36 (08) : 827 - 833
[32] Non-Fourier heat conduction in a plane slab with prescribed boundary heat flux
Barletta, A.
Zanchini, E.
Heat and Mass Transfer/Waerme- und Stoffuebertragung, 1996, 31 (06): : 443 - 450
[33] Non-Fourier heat conduction in a plane slab with prescribed boundary heat flux
Barletta, A
Zanchini, E
HEAT AND MASS TRANSFER, 1996, 31 (06): : 443 - 450
[34] Discussion on the transient of non-Fourier heat conduction law and laser heat treatment
Yu, N.
Hu, M.J.
Pan, J.S.
Gu, J.F.
2001, Editorial Office of Transactions of Materials and Heat Treatment (22):
[35] ANALYTICAL SOLUTIONS OF BIO-HEAT CONDUCTION ON SKIN IN FOURIER AND NON-FOURIER MODELS
Lin, Shueei-Muh
JOURNAL OF MECHANICS IN MEDICINE AND BIOLOGY, 2013, 13 (04)
[36] Mathematical and information-geometrical entropy for phenomenological Fourier and non-Fourier heat conduction
Li, Shu-Nan
Cao, Bing-Yang
PHYSICAL REVIEW E, 2017, 96 (03):
[37] An approximate spectral method for accurate solution of Fourier and non-Fourier heat conduction problems
Rahmani, RK
Keith, TG
Cottam, R
JSME INTERNATIONAL JOURNAL SERIES B-FLUIDS AND THERMAL ENGINEERING, 2003, 46 (04) : 519 - 527
[38] Fuel rod model based on Non-Fourier heat conduction equation
Espinosa-Paredes, G.
Espinosa-Martinez, E-G.
ANNALS OF NUCLEAR ENERGY, 2009, 36 (05) : 680 - 693
[39] Non-Fourier Heat Conduction with Periodic Thermal Condition for Porous Fin
Fariborz Shaahmadi
Majid Mehraban
Mohammad Reza Khosravi-Nikou
Iranian Journal of Science and Technology, Transactions of Mechanical Engineering, 2017, 41 : 209 - 215
[40] Numerical analysis of non-Fourier heat conduction dynamics in the composite layer
Yuvaraj, R.
Senthilkumar, D.
JOURNAL OF MECHANICAL ENGINEERING AND SCIENCES, 2023, 17 (03) : 9597 - 9615

← 1 2 3 4 5 →