Well-posedness and solution structure of dual-phase-lagging heat conduction

Liqiu Wang; Mingtian Xu; Xuesheng Zhou

doi:10.1016/S0017-9310(00)00229-5

Well-posedness and solution structure of dual-phase-lagging heat conduction

Liqiu Wang, Mingtian Xu, Xuesheng Zhou

Research output: Journal article publication › Journal article › Academic research › peer-review

69 Citations (Scopus)

Abstract

The dual-phase-lagging heat conduction equation is shown to be well-posed in a finite 1D region under Dirichlet, Neumann or Robin boundary conditions. Two solution structure theorems are developed for dual-phase-lagging heat conduction equations under linear boundary conditions. These theorems express contributions (to the temperature field) of the initial temperature distribution and the source term by that of the initial time-rate change of the temperature. This reveals the structure of the temperature field and considerably simplifies the development of solutions of dual-phase-lagging heat conduction equations.

Original language	English
Pages (from-to)	1659-1669
Number of pages	11
Journal	International Journal of Heat and Mass Transfer
Volume	44
Issue number	9
DOIs	https://doi.org/10.1016/S0017-9310(00)00229-5
Publication status	Published - May 2001
Externally published	Yes

ASJC Scopus subject areas

Condensed Matter Physics
Mechanical Engineering
Fluid Flow and Transfer Processes

More information

10.1016/S0017-9310(00)00229-5

Cite this

@article{7da99e7c5dfd4cc4be235e370da5c563,

title = "Well-posedness and solution structure of dual-phase-lagging heat conduction",

abstract = "The dual-phase-lagging heat conduction equation is shown to be well-posed in a finite 1D region under Dirichlet, Neumann or Robin boundary conditions. Two solution structure theorems are developed for dual-phase-lagging heat conduction equations under linear boundary conditions. These theorems express contributions (to the temperature field) of the initial temperature distribution and the source term by that of the initial time-rate change of the temperature. This reveals the structure of the temperature field and considerably simplifies the development of solutions of dual-phase-lagging heat conduction equations.",

author = "Liqiu Wang and Mingtian Xu and Xuesheng Zhou",

note = "Funding Information: This work was supported by the CRCG, the University of Hong Kong.",

year = "2001",

month = may,

doi = "10.1016/S0017-9310(00)00229-5",

language = "English",

volume = "44",

pages = "1659--1669",

journal = "International Journal of Heat and Mass Transfer",

issn = "0017-9310",

publisher = "Elsevier Ltd",

number = "9",

}

TY - JOUR

T1 - Well-posedness and solution structure of dual-phase-lagging heat conduction

AU - Wang, Liqiu

AU - Xu, Mingtian

AU - Zhou, Xuesheng

N1 - Funding Information: This work was supported by the CRCG, the University of Hong Kong.

PY - 2001/5

Y1 - 2001/5

N2 - The dual-phase-lagging heat conduction equation is shown to be well-posed in a finite 1D region under Dirichlet, Neumann or Robin boundary conditions. Two solution structure theorems are developed for dual-phase-lagging heat conduction equations under linear boundary conditions. These theorems express contributions (to the temperature field) of the initial temperature distribution and the source term by that of the initial time-rate change of the temperature. This reveals the structure of the temperature field and considerably simplifies the development of solutions of dual-phase-lagging heat conduction equations.

AB - The dual-phase-lagging heat conduction equation is shown to be well-posed in a finite 1D region under Dirichlet, Neumann or Robin boundary conditions. Two solution structure theorems are developed for dual-phase-lagging heat conduction equations under linear boundary conditions. These theorems express contributions (to the temperature field) of the initial temperature distribution and the source term by that of the initial time-rate change of the temperature. This reveals the structure of the temperature field and considerably simplifies the development of solutions of dual-phase-lagging heat conduction equations.

UR - http://www.scopus.com/inward/record.url?scp=0035916812&partnerID=8YFLogxK

U2 - 10.1016/S0017-9310(00)00229-5

DO - 10.1016/S0017-9310(00)00229-5

M3 - Journal article

AN - SCOPUS:0035916812

SN - 0017-9310

VL - 44

SP - 1659

EP - 1669

JO - International Journal of Heat and Mass Transfer

JF - International Journal of Heat and Mass Transfer

IS - 9

ER -

Well-posedness and solution structure of dual-phase-lagging heat conduction

Abstract

ASJC Scopus subject areas

More information

Other files and links

Fingerprint

Cite this