Numerical analysis of temperature field and thermal stress associated with dual-phase-lag heat conduction

被引:6
作者
Li, Jine [1 ]
Wang, Baolin [2 ]
机构
[1] Jinling Inst Technol, Architectural Engn Inst, Nanjing 211169, Peoples R China
[2] Western Sydney Univ, Ctr Infrastruct Engn Sch Comp Engn & Math, Penrith, NSW, Australia
基金
美国国家科学基金会;
关键词
Dual-phase-lag heat conduction; thermal wave; thermal stress; numerical method; DIFFERENCE SCHEME; SHOCK FRACTURE; MODEL; EQUATION; BEHAVIOR; LEQUATION; ACCURATE; INERTIA; TISSUE;
D O I
10.1080/15376494.2018.1508793
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A numerical method for generalized dual-phase-lag (DPL) heat conduction is proposed. Differential equations including the third-order derivative in time are obtained by using finite element space discretization and are solved by the finite difference method. The backward difference has less numerical oscillation but the central difference can better describe the sharp temperature change near the thermal wave front. In generality, the backward difference is an ideal method for the transient solution of the temperature field associated with the DPL model. However, the time step must be small enough so that the temperature field near the thermal wave front can be obtained accurately.
引用
收藏
页码:1304 / 1311
页数:8
相关论文
共 43 条
[1]   Transient Heat Conduction in a Functionally Graded Cylindrical Panel Based on the Dual Phase Lag Theory [J].
Akbarzadeh, A. H. ;
Chen, Z. T. .
INTERNATIONAL JOURNAL OF THERMOPHYSICS, 2012, 33 (06) :1100-1125
[2]   Thermal behavior of a multi-layered thin slab carrying periodic signals under the effect of the dual-phase-lag heat conduction model [J].
Al-Nimr, MA ;
Naji, M ;
Abdallah, RI .
INTERNATIONAL JOURNAL OF THERMOPHYSICS, 2004, 25 (03) :949-966
[3]   Effect of dual-phase-lag heat conduction on ignition of a solid [J].
Antaki, PJ .
JOURNAL OF THERMOPHYSICS AND HEAT TRANSFER, 2000, 14 (02) :276-278
[4]   A finite element method for non-Fourier heat conduction in strong thermal shock environments [J].
Wang B.-L. ;
Han J.-C. .
Frontiers of Materials Science in China, 2010, 4 (3) :226-233
[5]   FEMTOSECOND ELECTRONIC HEAT-TRANSPORT DYNAMICS IN THIN GOLD-FILMS [J].
BRORSON, SD ;
FUJIMOTO, JG ;
IPPEN, EP .
PHYSICAL REVIEW LETTERS, 1987, 59 (17) :1962-1965
[6]  
CATTANEO C, 1958, CR HEBD ACAD SCI, V247, P431
[7]   Transient thermal conduction analysis of a rectangular plate with multiple insulated cracks by the alternating method [J].
Chang, CY ;
Ma, CC .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2001, 44 (13) :2423-2437
[8]   A hybrid transform technique for the hyperbolic heat conduction problems [J].
Chen, Tzer-Ming .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2013, 65 :274-279
[9]   A hybrid Green's function method for the hyperbolic heat conduction problems [J].
Chen, Tzer-Ming .
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2009, 52 (19-20) :4273-4278
[10]   SECOND SOUND IN SOLIDS [J].
CHESTER, M .
PHYSICAL REVIEW, 1963, 131 (05) :2013-&