Extended Irreversible Thermodynamics and Generalization of the Dual-Phase-Lag Model in Heat Transfer

2003 ◽  
Vol 28 (3) ◽  
Author(s):  
S. I. Serdyukov ◽  
N. M. Voskresenskii ◽  
V. K. Bel'nov ◽  
I. I. Karpov
Keyword(s):  
Heat Transfer ◽  
Irreversible Thermodynamics ◽  
Phase Lag ◽  
Dual Phase ◽  
Extended Irreversible Thermodynamics ◽  
Lag Model

Extended Irreversible Thermodynamics Versus Second Law Analysis of High-Order Dual-Phase-Lag Heat Transfer

2018 ◽  
Vol 140 (8) ◽  
Author(s):  
Hossein Askarizadeh ◽  
Hossein Ahmadikia
Keyword(s):  
Heat Transfer ◽  
Heat Flux ◽  
Heat Flow ◽  
Irreversible Thermodynamics ◽  
High Order ◽  
Second Law ◽  
Phase Lag ◽  
Dual Phase ◽  
Heat Transfer Equation ◽  
Extended Irreversible Thermodynamics

This study introduces an analysis of high-order dual-phase-lag (DPL) heat transfer equation and its thermodynamic consistency. The frameworks of extended irreversible thermodynamics (EIT) and traditional second law are employed to investigate the compatibility of DPL model by evaluating the entropy production rates (EPR). Applying an analytical approach showed that both the first- and second-order approximations of the DPL model are compatible with the traditional second law of thermodynamics under certain circumstances. If the heat flux is the cause of temperature gradient in the medium (over diffused or flux precedence (FP) heat flow), the DPL model is compatible with the traditional second law without any constraints. Otherwise, when the temperature gradient is the cause of heat flux (gradient precedence (GP) heat flow), the conditions of stable solution of the DPL heat transfer equation should be considered to obtain compatible solution with the local equilibrium thermodynamics. Finally, an insight inspection has been presented to declare precisely the influence of high-order terms on the EPRs.

scholarly journals Analysis of non-Fourier thermal behavior for multi-layer skin model

2011 ◽  
Vol 15 (suppl. 1) ◽  
pp. 61-67 ◽  
Author(s):  
Kuo-Chi Liu ◽  
Po-Jen Cheng ◽  
Yan-Nan Wang
Keyword(s):  
Heat Transfer ◽  
Wave Model ◽  
Bioheat Transfer ◽  
Phase Lag ◽  
Dual Phase ◽  
Order Partial Differential Equation ◽  
Transfer Equations ◽  
Lag Model ◽  
Fourier Equation ◽  
Good Agreement

This paper studies the effect of micro-structural interaction on bioheat transfer in skin, which was stratified into epidermis, dermis, and subcutaneous. A modified non-Fourier equation of bio-heat transfer was developed based on the second-order Taylor expansion of dual-phase-lag model and can be simplified as the bio-heat transfer equations derived from Pennes? model, thermal wave model, and the linearized form of dual-phase-lag model. It is a fourth order partial differential equation, and the boundary conditions at the interface between two adjacent layers become complicated. There are mathematical difficulties in dealing with such a problem. A hybrid numerical scheme is extended to solve the present problem. The numerical results are in a good agreement with the contents of open literature. It evidences the rationality and reliability of the present results.

Analysis of Non-Fourier Thermal Behavior in Layered Tissue with Pulse Train Heating

2013 ◽  
Vol 479-480 ◽  
pp. 496-500
Author(s):  
Kuo Chi Liu ◽  
Cheng Chi Wang ◽  
Po Jen Cheng
Keyword(s):  
Heat Transfer ◽  
Thermal Behavior ◽  
Thermal Wave ◽  
Wave Model ◽  
Phase Lag ◽  
Dual Phase ◽  
Order Partial Differential Equation ◽  
Transfer Equations ◽  
Lag Model ◽  
Pennes Model

This paper investigates the thermal behavior in laser-irradiated layered tissue, which was stratified into skin, fat, and muscle. A modified nonFourier equation of bio-heat transfer was developed based on the second-order Taylor expansion of dual-phase lag model. This equation is a fourth order partial differential equation and can be simplified as the bio-heat transfer equations derived from Pennes model, thermal wave model, and the linearized form of dual-phase lag model. The boundary conditions at the interface between two adjacent layers become complicated. There are mathematical difficulties in dealing with such a problem. A hybrid numerical scheme is extended to solve the present problem. The deviations of the results from the bio-heat transfer equations based on Pennes model, thermal wave model and dual-phase lag model are presented and discussed.

scholarly journals Dual-phase lag model of heat transfer between blood vessel and biological tissue

2021 ◽  
Vol 18 (2) ◽  
pp. 1573-1589
Author(s):  
Ewa Majchrzak ◽  
◽  
Mikołaj Stryczyński
Keyword(s):  
Heat Transfer ◽  
Blood Vessel ◽  
Biological Tissue ◽  
Phase Lag ◽  
Dual Phase ◽  
Lag Model
Sign in / Sign up

Export Citation Format

Share Document