Phase-lag heat conduction in multilayered cellular media with imperfect bonds

Thermodynamical consistency of the dual-phase-lag heat conduction equation

“…[26,27,28,29,30,31]. Based on a fractal approach, the idea behind the dual phase lag concept is further extended by Ezzat et al to a three phase lag approach [32] and applied by Akbarzadeh and Pasini along with the DPL model [33]. These generalizations show how easy to apply these ideas.…”

Transient responses of bi-layered structure based on generalized thermoelasticity: Interfacial conditions

“…The thermal wave model was used by Khadrawi et al [39] to study the thermal behavior of perfect and imperfect contact composite slabs with a constant interfacial thermal resistance. Akbarzadeh and Pasini [40] studied the thermal responses of one-dimensional multilayered systems, functionally graded solid media, and porous materials under alternative heat conduction theories. To display the variations of the stress and temperature fields, a step-by-step algorithm was proposed by Atarashi and Minagawa [41] to give the solutions in each layer of the plate, under the boundary conditions at the outer surfaces and the interfaces between layers, but the mechanical bonding was perfect.…”

Thermal wave: from nonlocal continuum to molecular dynamics

“…The model, however, lacks a physical basis, violates the second-law of thermodynamics, and cannot accurately describe the experimental data of heat transport. [22][23][24] In addition, the C-V model of heat conduction overlooks the effects of microstructure on the heat transport process. To consider the non-equilibrium thermodynamics process of heat transport during the ultrafast laser heating and micro-macro interactions of heat carriers, a hyperbolic, two-step, phenomenological model was derived by Qiu and Tien 25,26 by solving the Boltzmann equation.…”

“…Alternative parabolic and hyperbolic types of heat conduction can be developed by Taylor series expansion of eqn (4) with respect to time. 24,29 The hyperbolic models of non-Fourier heat conduction can predict thermal wave propagation through a medium subjected to abrupt thermal disturbances. Nonetheless, the hyperbolic models suffer from the unrealistic singularity of temperature gradient across thermal wavefront.…”