The validity of using the microscopic hyperbolic heat conduction model under a harmonic fluctuating boundary heating source

被引:18
|
作者
Naji, M [1 ]
Al-Nimr, MA [1 ]
Hader, M [1 ]
机构
[1] Jordan Univ Sci & Technol, Dept Mech Engn, Irbid 22110, Jordan
关键词
hyperbolic microscopic model; hyperbolic two-step heat conduction model; macroscopic heat conduction; microscopic heat conduction; two-step heat conduction model;
D O I
10.1023/A:1022984324606
中图分类号
O414.1 [热力学];
学科分类号
摘要
The validity of using the microscopic hyperbolic heat conduction model under a harmonic fluctuating boundary heating source is investigated. It is found that using the microscopic hyperbolic heat conduction model is essential when (omega) over barC(l)/G > 0.1. The phase shift between the electron-gas and solid-lattice temperatures is found to be tan(-1)((omega) over barC(l)/G). This phase shift reaches a fixed value of 1.5708 rad at very large values of (omega) over barC(l)/G. It is found that the use of the microscopic hyperbolic heat conduction model is essential when (omega) over bar > 1 x 10(9) rad . s(-1) for most metallic layers independent of their thickness.
引用
收藏
页码:545 / 557
页数:13
相关论文
共 50 条
  • [41] Singularities of constructing a mathematical model of transient heat conduction under conditions of highly intensive heating
    Erokhina, AD
    Kuvyrkin, GN
    HIGH TEMPERATURE, 1999, 37 (03) : 498 - 501
  • [42] The Dual-Phase-Lag Heat Conduction Model in Thin Slabs Under a Fluctuating Volumetric Thermal Disturbance
    M. A. Hader
    M. A. Al-Nimr
    B. A. Abu Nabah
    International Journal of Thermophysics, 2002, 23 : 1669 - 1680
  • [43] The dual-phase-lag heat conduction model in thin slabs under a fluctuating volumetric thermal disturbance
    Hader, MA
    Al-Nimr, MA
    Abu Nabah, BA
    INTERNATIONAL JOURNAL OF THERMOPHYSICS, 2002, 23 (06) : 1669 - 1680
  • [44] Effective Thermal Properties of Layered Systems Under the Parabolic and Hyperbolic Heat Conduction Models Using Pulsed Heat Sources
    Ordonez-Miranda, J.
    Alvarado-Gil, J. J.
    JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 2011, 133 (09):
  • [45] Analytic Modeling of Two-Dimensional Transient Heat Conduction With Heat Source Under Mixed Boundary Constraints by Symplectic Superposition
    Xu, Dian
    Li, Jinbao
    Wang, Zixuan
    Xiong, Sijun
    He, Qianqiang
    Li, Rui
    ASME JOURNAL OF HEAT AND MASS TRANSFER, 2024, 146 (12):
  • [46] Non-linear finite element formulation applied to thermoelectric materials under hyperbolic heat conduction model
    Palma, R.
    Perez-Aparicio, J. L.
    Taylor, R. L.
    COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2012, 213 : 93 - 103
  • [47] Model reduction for heat conduction with radiative boundary conditions using the modal identification method
    Balima, O.
    Favennec, Y.
    Petit, D.
    NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, 2007, 52 (02) : 107 - 130
  • [48] Thermoelastic response of a heated thin composite plate using the hyperbolic heat conduction model: lumped analysis
    Al-Huniti, NS
    Al-Nimr, MA
    INTERNATIONAL JOURNAL OF THERMAL SCIENCES, 2004, 43 (10) : 959 - 965
  • [49] Isogeometric boundary element for analyzing steady-state heat conduction problems under spatially varying conductivity and internal heat source
    Zang, Quansheng
    Liu, Jun
    Ye, Wenbin
    Lin, Gao
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2020, 80 (07) : 1767 - 1792
  • [50] Analytical Solution of the Hyperbolic Heat Conduction Equation for Moving Semi-Infinite Medium under the Effect of Time-Dependent Laser Heat Source
    Al-Khairy, R. T.
    AL-Ofey, Z. M.
    JOURNAL OF APPLIED MATHEMATICS, 2009,