The finite element method for the highorder dual-phase-lagging heat conduction model
Keywords:
Heat Transfer, Fourier heat conductionAbstract
The non-Fourier heat conduction theory is appropriate for heat and mass transfer in micro-scale or nano-scale time and space condition. This article first expands the Dual-Phase-Lagging mathematical model to second-order term so as to describe the heat behaviour more accurately. Then dealing with the temperature variation about time and space by finite discretion, the coefficients of stiffness matrix are obtained. Initial and boundary conditions are defined according to practical environment.
References
Cattaneo C. A form of heat conduction equation which eliminate the paradox of instantaneous propagation. Compute Rendus, 1958, 247:431-433
Vernotte P. Some possible complications in the phenomena of thermal conduction. Compute Rendus, 1961, 252:2190-2191
Tzou D Y. A unified approach for heat conduction from macro- to micro-scales. ASME Journal of Heat Transfer, 1995, 117:8-16.
Tzou D Y. The generalized lagging response in smallscale and high-rate heating. Int J Heat and Mass Transfer, 1995, 38:3231-3240
Mohsen Torabi, Kaili Zhang. Multi-dimensional dualphase-lagging heat conduction in cylindrical coordinates: Analytical and numerical solutions. International Journal of Heat and Mass Transfer 78, 2014:960-966
B.L. Wang, J.E. Li. Thermal shock resistance of solids associated with hyperbolic heat conduction theory. Proceedings of the Royal Society. 2013
Mauro Fabrizio, Barbara Lazzari. Stability and Second Law of Thermodynamics in dual phase lagging heat conduction. International Journal of Heat and Mass Transfer 24 (2014): 484-489
R. Quintanilla. Exponential Stability in the DualPhase-Lagging Heat Conduction Theory. J. NonEquillib. Thermodyn 27 (2002): 217-227
J.K. Chen, J.E. BERAUN, D.Y. Tzou. A dual-phaselag diffusion modal for interfacial layer growth in metal matrix composites. Journal of Materials Science 34(1999): 6183-6187
J. Ghazanfarian, A. Abbassi. Effect of boundary phonon scattering on Dual-Phase-Lag model to simulate micro- and nano-scale heat conduction. International Journal of Heat and Mass Transfer 52(2009):3706-3711
M.A.Hader, M.A.Al-Nimr, V.A. Hammoudeh. Transient Thermal Response of a Homogeneous Composite Thin Layer Exposed to a Fluctuating Heating Source under the Effect of the Dual-PhaseLag Heat Conduction Model. International Journal of Thermophysics 27(2006):665-680
Paul J. ANTAKI. Solution for non-Fourier dual phase lag heat conduction in a semi-infinite slab with surface heat flux. International Journal of Heat and Mass Transfer 41(1998): 2253-2258
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