Thermal oscillation and resonance in dual-phase-lagging heat conduction

Mingtian Xu; Liqiu Wang

doi:10.1016/S0017-9310(01)00199-5

Thermal oscillation and resonance in dual-phase-lagging heat conduction

Mingtian Xu, Liqiu Wang

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

91 Citations (Scopus)

Abstract

We examine thermal oscillation and resonance (with respect to time) described by the dual-phase-lagging heat-conduction equations analytically. Conditions and features of underdamped, critically damped and overdamped oscillations are obtained and compared with those described by the classical parabolic heat-conduction equation and the hyperbolic heat-conduction equation. Also derived is the condition for the thermal resonance. Both the underdamped oscillation and the critically damped oscillation cannot appear if the phase lag of the temperature gradient τ_T is larger than that of the heat flux τ_q. The modes of underdamped thermal oscillation are limited to a region fixed by two relaxation distances defined by the case of τ_T > 0, and by one relaxation distance 2 √ατ_q for the case of τ_T = 0. Here α is the thermal diffusivity of the medium.

Original language	English
Pages (from-to)	1055-1061
Number of pages	7
Journal	International Journal of Heat and Mass Transfer
Volume	45
Issue number	5
DOIs	https://doi.org/10.1016/S0017-9310(01)00199-5
Publication status	Published - 8 Jan 2002
Externally published	Yes

ASJC Scopus subject areas

Condensed Matter Physics
Mechanical Engineering
Fluid Flow and Transfer Processes

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10.1016/S0017-9310(01)00199-5

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title = "Thermal oscillation and resonance in dual-phase-lagging heat conduction",

abstract = "We examine thermal oscillation and resonance (with respect to time) described by the dual-phase-lagging heat-conduction equations analytically. Conditions and features of underdamped, critically damped and overdamped oscillations are obtained and compared with those described by the classical parabolic heat-conduction equation and the hyperbolic heat-conduction equation. Also derived is the condition for the thermal resonance. Both the underdamped oscillation and the critically damped oscillation cannot appear if the phase lag of the temperature gradient τT is larger than that of the heat flux τq. The modes of underdamped thermal oscillation are limited to a region fixed by two relaxation distances defined by the case of τT > 0, and by one relaxation distance 2 √ατq for the case of τT = 0. Here α is the thermal diffusivity of the medium.",

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AU - Wang, Liqiu

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PY - 2002/1/8

Y1 - 2002/1/8

N2 - We examine thermal oscillation and resonance (with respect to time) described by the dual-phase-lagging heat-conduction equations analytically. Conditions and features of underdamped, critically damped and overdamped oscillations are obtained and compared with those described by the classical parabolic heat-conduction equation and the hyperbolic heat-conduction equation. Also derived is the condition for the thermal resonance. Both the underdamped oscillation and the critically damped oscillation cannot appear if the phase lag of the temperature gradient τT is larger than that of the heat flux τq. The modes of underdamped thermal oscillation are limited to a region fixed by two relaxation distances defined by the case of τT > 0, and by one relaxation distance 2 √ατq for the case of τT = 0. Here α is the thermal diffusivity of the medium.

AB - We examine thermal oscillation and resonance (with respect to time) described by the dual-phase-lagging heat-conduction equations analytically. Conditions and features of underdamped, critically damped and overdamped oscillations are obtained and compared with those described by the classical parabolic heat-conduction equation and the hyperbolic heat-conduction equation. Also derived is the condition for the thermal resonance. Both the underdamped oscillation and the critically damped oscillation cannot appear if the phase lag of the temperature gradient τT is larger than that of the heat flux τq. The modes of underdamped thermal oscillation are limited to a region fixed by two relaxation distances defined by the case of τT > 0, and by one relaxation distance 2 √ατq for the case of τT = 0. Here α is the thermal diffusivity of the medium.

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Thermal oscillation and resonance in dual-phase-lagging heat conduction

Abstract

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