Nonequilibrium Entropy Production Under the Effect of the Dual-Phase-Lag Heat Conduction Model

2000 ◽  
Vol 122 (2) ◽  
pp. 217-223 ◽  
Author(s):  
M. A. Al-Nimr ◽  
M. Naji ◽  
V. S. Arbaci
Keyword(s):  
Heat Conduction ◽  
Entropy Production ◽  
Second Law ◽  
Phase Lag ◽  
Dual Phase ◽  
Conduction Model ◽  
Heat Conduction Model ◽  
Nonequilibrium Entropy ◽  
Phase Lags ◽  
The Difference

In the present work, the nonequilibrium entropy production under the effect of the dual-phase-lag heat conduction model is investigated. It is shown that the entropy production cannot be described using the classical form of the equilibrium entropy production where using this form leads to a violation for the thermodynamics second law. The effect of the phase-lags in temperature and in heat flux on the nonequilibrium entropy production is investigated. Also, the difference between the equilibrium and the nonequilibrium temperatures under the effect of the dual-phase-lag heat conduction model is studied. [S0022-1481(00)01502-4]

scholarly journals Thermal shock fracture mechanics analysis of a semi-infinite medium based on the dual-phase-lag heat conduction model

2015 ◽  
Vol 471 (2174) ◽  
pp. 20140595 ◽  
Author(s):  
B. Wang ◽  
J. E. Li ◽  
C. Yang
Keyword(s):  
Stress Intensity Factor ◽  
Heat Conduction ◽  
Thermal Stress ◽  
Stress Intensity ◽  
Thermal Shock ◽  
Infinite Medium ◽  
Phase Lag ◽  
Dual Phase ◽  
Conduction Model ◽  
Heat Conduction Model

The generalized lagging behaviour in solids is very important in understanding heat conduction in small-scale and high-rate heating. In this paper, an edge crack in a semi-infinite medium subjected to a heat shock on its surface is studied under the framework of the dual-phase-lag (DPL) heat conduction model. The transient thermal stress in the medium without crack is obtained first. This stress is used as the crack surface traction with an opposite sign to formulate the crack problem. Numerical results of thermal stress intensity factor are obtained as the functions of crack length and thermal shock time. Crack propagation predictions are conducted and results based on the DPL model and those based on the classical Fourier heat conduction model are compared. The thermal shock strength that the medium can sustain without catastrophic failure is established according to the maximum local stress criterion and the stress intensity factor criterion.

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