Dual-phase-lagging heat conduction based on Boltzmann transport equation

Mingtian Xu; Liqiu Wang

doi:10.1016/j.ijheatmasstransfer.2005.05.040

Dual-phase-lagging heat conduction based on Boltzmann transport equation

Mingtian Xu, Liqiu Wang

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

91 Citations (Scopus)

Abstract

In this work, the dual-phase-lagging model of the microscale heat conduction is re-derived analytically from the Boltzmann transport equation. Based on this model, the delay/advanced partial differential equations governing the microscale heat conduction are established. The method of separation of variables is applied to solve such delay/advanced partial differential equations. Finally, the oscillation of the microscale heat conduction is investigated.

Original language	English
Pages (from-to)	5616-5624
Number of pages	9
Journal	International Journal of Heat and Mass Transfer
Volume	48
Issue number	25-26
DOIs	https://doi.org/10.1016/j.ijheatmasstransfer.2005.05.040
Publication status	Published - Dec 2005
Externally published	Yes

ASJC Scopus subject areas

Condensed Matter Physics
Mechanical Engineering
Fluid Flow and Transfer Processes

More information

10.1016/j.ijheatmasstransfer.2005.05.040

Cite this

@article{d43aebe1741f4d298df4228ef7082242,

title = "Dual-phase-lagging heat conduction based on Boltzmann transport equation",

abstract = "In this work, the dual-phase-lagging model of the microscale heat conduction is re-derived analytically from the Boltzmann transport equation. Based on this model, the delay/advanced partial differential equations governing the microscale heat conduction are established. The method of separation of variables is applied to solve such delay/advanced partial differential equations. Finally, the oscillation of the microscale heat conduction is investigated.",

author = "Mingtian Xu and Liqiu Wang",

year = "2005",

month = dec,

doi = "10.1016/j.ijheatmasstransfer.2005.05.040",

language = "English",

volume = "48",

pages = "5616--5624",

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

issn = "0017-9310",

publisher = "Elsevier Ltd",

number = "25-26",

}

TY - JOUR

T1 - Dual-phase-lagging heat conduction based on Boltzmann transport equation

AU - Xu, Mingtian

AU - Wang, Liqiu

PY - 2005/12

Y1 - 2005/12

N2 - In this work, the dual-phase-lagging model of the microscale heat conduction is re-derived analytically from the Boltzmann transport equation. Based on this model, the delay/advanced partial differential equations governing the microscale heat conduction are established. The method of separation of variables is applied to solve such delay/advanced partial differential equations. Finally, the oscillation of the microscale heat conduction is investigated.

AB - In this work, the dual-phase-lagging model of the microscale heat conduction is re-derived analytically from the Boltzmann transport equation. Based on this model, the delay/advanced partial differential equations governing the microscale heat conduction are established. The method of separation of variables is applied to solve such delay/advanced partial differential equations. Finally, the oscillation of the microscale heat conduction is investigated.

UR - http://www.scopus.com/inward/record.url?scp=27844449530&partnerID=8YFLogxK

U2 - 10.1016/j.ijheatmasstransfer.2005.05.040

DO - 10.1016/j.ijheatmasstransfer.2005.05.040

M3 - Journal article

AN - SCOPUS:27844449530

SN - 0017-9310

VL - 48

SP - 5616

EP - 5624

JO - International Journal of Heat and Mass Transfer

JF - International Journal of Heat and Mass Transfer

IS - 25-26

ER -

Dual-phase-lagging heat conduction based on Boltzmann transport equation

Abstract

ASJC Scopus subject areas

More information

Other files and links

Fingerprint

Cite this