Exact solution of the dual-phase-lag heat conduction model for a one-dimensional system excited with a periodic heat source

被引：17

作者：

Ordonez-Miranda, J. ^{[1
]}

Alvarado-Gil, J. J. ^{[1
]}

机构：

[1] Inst Politecn Nacl, Ctr Invest & Estudios Avanzados, Dept Appl Phys, Unidad Merida, Merida 97310, Yucatan, Mexico

来源：

MECHANICS RESEARCH COMMUNICATIONS | 2010年 / 37卷 / 03期

关键词：

Dual-phase-lag model; Periodic thermal excitation; Thermal waves; Phase and group velocities; Thermal-property determination; WAVES; EQUATION;

D O I：

10.1016/j.mechrescom.2010.03.002

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The one-dimensional thermal wave transport in a semi-infinite medium is studied under the framework of the dual-phase lag model of heat conduction in its exact form considering a modulated thermal excitation for Dirichlet and Neumann boundary conditions. By requiring that the thermal waves have physical meaning, it is shown that their validity is restricted to an interval of permitted modulation frequencies, which depend only on the difference of the time delays corresponding to the medium where the thermal waves propagate. The behavior of characteristic propagation properties of the thermal waves, such as the wavelength, penetration depth, phases and group velocities are discussed. In addition, formulas to determine the difference of the time delays as well as other thermal properties of a semi-infinite layer are obtained. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：276 / 281

页数：6

共 50 条

[1] Heat conduction in one-dimensional functionally graded media based on the dual-phase-lag theory
Akbarzadeh, A. H.
Chen, Z. T.
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE, 2013, 227 (C4) : 744 - 759
[2] Analytical solution of dual-phase-lag heat conduction in a finite medium subjected to a moving heat source
Ma, Jingxuan
Sun, Yuxin
Yang, Jialing
INTERNATIONAL JOURNAL OF THERMAL SCIENCES, 2018, 125 : 34 - 43
[3] Dual-phase-lag heat conduction with microtemperatures
Liu, Zhuangyi
Quintanilla, Ramon
Wang, Yang
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2021, 101 (12):
[4] Unphysical effects of the dual-phase-lag model of heat conduction
Rukolaine, Sergey A.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2014, 78 : 58 - 63
[5] Frequency Analysis of Dual-Phase-Lag Heat Conduction Model
Sobczak, Artur
Jablonski, Grzegorz
Janicki, Marcin
2023 24TH INTERNATIONAL CONFERENCE ON THERMAL, MECHANICAL AND MULTI-PHYSICS SIMULATION AND EXPERIMENTS IN MICROELECTRONICS AND MICROSYSTEMS, EUROSIME, 2023,
[6] One-dimensional thermo-elastic wave analysis for dynamic thermoelasticity coupled with dual-phase-lag heat conduction model
Arai, Masayuki
Masui, Kaito
MECHANICAL ENGINEERING JOURNAL, 2024, 11 (05):
[7] Comparison of Different Formulations for The Dual-Phase-Lag Heat Conduction Model
Sobczak, Artur
Jablonski, Grzegorz
Janicki, Marcin
2022 28TH INTERNATIONAL WORKSHOP ON THERMAL INVESTIGATIONS OF ICS AND SYSTEMS (THERMINIC 2022), 2022,
[8] Qualitative aspects in dual-phase-lag heat conduction
Quintanilla, Ramon
Racke, Reinhard
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2007, 463 (2079): : 659 - 674
[9] A note on stability in dual-phase-lag heat conduction
Quintanilla, R
Racke, R
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2006, 49 (7-8) : 1209 - 1213
[10] Green's Function Solution for Dual-Phase-Lag Heat Conduction Model in Electronic Nanostructures
Janicki, Marcin
Zubert, Mariusz
Samson, Agnieszka
Raszkowski, Tomasz
Napieralski, Andrzej
2015 31ST ANNUAL SEMICONDUCTOR THERMAL MEASUREMENT, MODELING & MANAGEMENT SYMPOSIUM (SEMI-THERM), 2015, : 95 - 98

← 1 2 3 4 5 →