Non-Fourier heat conduction studying on high-power short-pulse laser ablation considering heat source effect

Zhang, D. M.; Li, L.; Li, Zhenghe; Guan, Li; Tan, Xiaotian; Liu, D.

doi:10.1051/epjap:2006007

Cited by 13 publications

(6 citation statements)

References 17 publications

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“…This is in agreement with the results obtained by Banerjee et al [ 15 ] in a modeling study of laser ablation with pulsed heating. Similar behavior was also partially observed in a modeling study comparing a non-Fourier heat conduction model to the Fourier heat conduction model [ 16 ].…”

Section: Discussionsupporting

confidence: 79%

“…2 ), we think that the differences between the two equations could be higher in the case of pulsed power due to the accumulated differences (pulse by pulse) between the temperatures obtained from each heat transfer equation. In fact, the hyperbolic heat transfer equation has been specially employed for heating techniques based on short energy pulses [ 15 , 16 ]. Finally, future experimental work should be conducted to accurately measure the thermal relaxation time ( τ ) of different biological tissues under different conditions.…”

Section: Future Researchmentioning

confidence: 99%

See 1 more Smart Citation

Assessment of Hyperbolic Heat Transfer Equation in Theoretical Modeling for Radiofrequency Heating Techniques

López-Molina¹,

Rivera²,

Trujillo³

et al. 2008

TOBEJ

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Theoretical modeling is a technique widely used to study the electrical-thermal performance of different surgical procedures based on tissue heating by use of radiofrequency (RF) currents. Most models employ a parabolic heat transfer equation (PHTE) based on Fourier’s theory, which assumes an infinite propagation speed of thermal energy. We recently proposed a one-dimensional model in which the electrical-thermal coupled problem was analytically solved by using a hyperbolic heat transfer equation (HHTE), i.e. by considering a non zero thermal relaxation time. In this study, we particularized this solution to three typical examples of RF heating of biological tissues: heating of the cornea for refractive surgery, cardiac ablation for eliminating arrhythmias, and hepatic ablation for destroying tumors. A comparison was made of the PHTE and HHTE solutions. The differences between their temperature profiles were found to be higher for lower times and shorter distances from the electrode surface. Our results therefore suggest that HHTE should be considered for RF heating of the cornea (which requires very small electrodes and a heating time of 0.6 s), and for rapid ablations in cardiac tissue (less than 30 s).

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Section: Discussionsupporting

confidence: 79%

Section: Future Researchmentioning

confidence: 99%

Assessment of Hyperbolic Heat Transfer Equation in Theoretical Modeling for Radiofrequency Heating Techniques

López-Molina¹,

Rivera²,

Trujillo³

et al. 2008

TOBEJ

View full text Add to dashboard Cite

show abstract

“…Figure 4(b) shows the target temperature distribution for analytical and numerical solutions under heat flux boundary condition. 29) Under both constant temperature and heat flux boundary conditions, the numerical results agree well with the analytical data.…”

Section: Validationsupporting

confidence: 65%

Numerical investigation on plume expansion, components evolution and ionization of polytetrafluoroethylene (PTFE) irradiated by nanosecond laser

Zhang¹,

Wu²,

Ou³

et al. 2020

Jpn. J. Appl. Phys.

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To investigate the plume expansion, components evolution and ionization in the laser ablation pulsed plasma thruster, which is difficult to obtain from experiments, the non-Fourier heat conduction model, fluid dynamics model and thermochemical model are established. The non-Fourier heat conduction model is established to calculate the propellant ablation, taking into account temperature dependent material properties, phase transition, depolymerization of polytetrafluoroethylene propellant, the reflection of the laser beam at the surface of the propellant, and non-Fourier effect. The fluid dynamics model is established to calculate the plume expansion, taking into account plume absorption and shielding. The thermochemical model is established to calculate the components evolution and ionization, taking into account nine chemical and ionization reactions with 12 components. By coupling the three models, the thermochemical characteristics, plume expansion and ionization of polytetrafluoroethylene irradiated by a nanosecond laser are numercially calculated.

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“…The rapid development of modern science and technology poses two challenges to the traditional theory of heat transfer, such as: (1) the classical Fourier's heat conduction law is no longer valid under the ultrafast laser heating and nanoscale conditions Bishri, 1999;Herwig and Beckert, 2000;Zhou et al, 2008;Mohajer et al, 2016;Guo and Xu, 1992;Shiomi and Maruyama, 2006;Zhang et al, 2006); (2) thermodynamic optimization method based on minimum entropy generation principle is not suitable for heat transfer problems without heat to work conversion (Bertola and Cafaro, 2008;Kjelstrup et al, 2000;Prigogine, 1967;Bejan, 1977;Bejan, 1979;Bejan, 1982;Bejan, 2002;Hesselgreaves, 2000;Pandey and Nema, 2011;Sekulic, 1986). In order to solve the first challenge, unlike the existing approaches to meet the first challenge, they all revise the existing Fourier's law of heat conduction (Tzou, 1996;Rukolaine, 2014;Chen et al, 2006;Cattaneo, 1948;Vernotte, 1958).…”

Section: Introductionmentioning

confidence: 99%

Physical Heat Transfer

Wang¹,

Guo²

2019

Frontiers in Heat and Mass Transfer

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The classical heat transfer theory is established on the empirical models of Fourier's heat conduction law and Newton's cooling law. Although the classical theory has been successfully used in a wide range of industrial engineering applications, it lacks deep understanding of the physical mechanisms for energy transport and analytical methodology based on solid mathematical and mechanical principles. The rapid development of modern science and technology challenges the traditional heat transfer theory in two aspects: (1) Fourier's law of heat conduction is no longer valid under the ultra-fast laser heating or nanoscale conditions; (2) The optimization principle minimizing entropy generation is not suitable for heat transfer problems without heat to work conversion. In order to solve the first challenge, we reexamined the nature of heat and introduced new physical quantities, such as thermomass, thermomass velocity, thermomass energy. Then the heat transfer problems can be analyzed in the framework of vectorial fluid mechanics, and the thermomass momentum conservation equation has been established and known as a general law of heat transfer. For the second challenge, we introduced new physical quantities, entransy and entransy dissipation, by analogy between the heat conduction process and the electric conduction process. Unlike entropy as the core physical quantity in thermodynamics dealing with energy conversion, entransy is the quantity to represent the ability of heat transfer in an incompressible system. The entransy dissipation represents the irreversibility of heat transfer process. On this basis, the least action principle to minimize entransy dissipation can be used to optimize the heat transfer process and enhance energy efficiency. Because the physical essence of entransy is the thermomass potential energy, the entransy-based variational method is actually the energy method in heat transfer. All the new physical quantities, principles and methods form a new and independent knowledge system in heat transfer, which may be named "Physical heat transfer".

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Non-Fourier heat conduction studying on high-power short-pulse laser ablation considering heat source effect

Cited by 13 publications

References 17 publications

Assessment of Hyperbolic Heat Transfer Equation in Theoretical Modeling for Radiofrequency Heating Techniques

Assessment of Hyperbolic Heat Transfer Equation in Theoretical Modeling for Radiofrequency Heating Techniques

Numerical investigation on plume expansion, components evolution and ionization of polytetrafluoroethylene (PTFE) irradiated by nanosecond laser

Physical Heat Transfer

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