Analysis of dual-phase-lag heat conduction in a two-dimensional slab heated by a moving annular laser pulse

Shen, Jie; Zhang, Xiaohui

doi:10.1016/j.apm.2021.12.024

Cited by 13 publications

(6 citation statements)

References 46 publications

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“…As described in many studies [9,11,14], the phase lag parameters are important factors affecting the temperature distribution in the DPL model. The 3D profile and the contour temperature of the top surface, as well as the contour temperature of interior with 2 / 2 W   when 8   and 1 K   are presented in Figure 3.…”

Section: Resultsmentioning

confidence: 99%

“…As used in the reference [9,11], Green's function approach is employed to find the analytical solution of the underlying DPL model equation (6)(7)(8). At first, Green's function can be expressed as ( , , , | , , , ) ( , , , | , , , ),…”

Section: Analytical Solution Of the Dpl Modelmentioning

confidence: 99%

“…The DPL model has been successfully applied in fields such as engineering and biology in recent years. Many researchers have used the DPL model for heat transfer analysis of the medium when it is subjected to a moving heat source for both metallic and non-metallic materials [9][10][11][12][13][14]. Depending on the practical application, the heat source can be modeled as a point, line, surface or volumetric shaped heat source that can be changed in shape and motion to meet the needs of different fields.…”

Section: Introductionmentioning

confidence: 99%

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Theoretical analysis of a three-dimensional medium heated by a moving volumetric laser heat source under the dual-phase-lag heat transfer model

Chen,

Fan,

et al. 2024

International Conference on Mechatronic Engineering and Artificial Intelligence (MEAI 2023)

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The dual-phase-lag model has attracted increasing attention on account of its better heat transfer performance among many existing non-Fourier models. In this paper, we focus on the dual-phase-lag heat transfer process in a three-dimensional medium heated by a moving volumetric laser heat source. A series solution for the temperature distribution has been derived analytically by Green's function approach. According to this solution, the effect of the phase lag parameters and the heat source moving speed on the temperature distribution are investigated. The present results show the temperature variation not only on the top surface but also inside the medium, which can help us better understand the obvious non-Fourier temperature response of the three-dimensional medium.

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Section: Resultsmentioning

confidence: 99%

Section: Analytical Solution Of the Dpl Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Theoretical analysis of a three-dimensional medium heated by a moving volumetric laser heat source under the dual-phase-lag heat transfer model

Chen,

Fan,

et al. 2024

International Conference on Mechatronic Engineering and Artificial Intelligence (MEAI 2023)

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“…We will explain more in detail in a future paper how to deduce a general cooling effect associated with the propagation of thermal waves on a rotating conductor by a time-delayed D'Alembertian equation, which generalizes either the Wilson Equation (22) or the telegraph Equation (35). We want, finally, to illustrate how to deduce a naïve estimate of the average negative temperature gradient ΔT at the border of a rotating conductive platform, which could be tested in modern Laboratories and compared with a similar cooling effect caused by a rotating laser source investigated recently [21].…”

Section: Outlook and Perspectivesmentioning

confidence: 99%

A Thermal Analogue of the Zel’Dovich Effect

Bei

2023

JAMP

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We analyze in this work anisotropic heat conduction induced by a harmonically oscillating laser source incident on rotating conductors, exploiting an analogy with an effect discovered long ago, called the Zel'dovich effect. We re-covered the main results of a recently published paper that predicts the translational Doppler frequency shift of a thermal wave induced on a sample moving with uniform rectilinear motion. We extend then this framework to take into account the frequency shift of a thermal field propagating on a rotating platform. We show that it coincides with the rotational frequency shift which has been recently observed on surface acoustic waves and hydrodynamic surface waves, called rotational superradiance. Finally, we use an analogy with the Tolman effect to deduce a simple estimate of the average temperature gradient induced by rotation, showing the existence of a new cooling effect associated with heat torque transfer.

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“…The SPL model introduces a solitary thermal delay, whereas the DPL model incorporates two, thereby providing a more precise depiction of how tissues respond to laserinduced heating. The incorporation of porosity models, as explored by Chen et al [7], is of utmost importance when dealing with tissues that possess intricate structures. Collectively, these models play a pivotal role in guiding the development of laser technology, facilitating treatment planning, and ensuring safety assessments, ultimately leading to continuous enhancements in laser treatments for achieving optimal clinical outcomes.…”

Section: Introductionmentioning

confidence: 99%

Bio-Thermal Non-Equilibrium Dynamics and Thermal Damage in Biological Tissues Induced by Multiple Pulse-Lasers Irradiations

Jawo,

Hassan

2024

Preprint

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Background: Laser therapy offers precise medical treatment by directing focused light beams to specific areas without harming surrounding tissue. This precision is particularly valuable in tissue treatment, including cancer therapy, where minimizing collateral damage is critical. The current study focuses on bio-thermal dynamics and thermal damage in biological tissues induced by multiple pulse-laser irradiations. Model: To examine the thermal behavior, the Local Thermal Non-Equilibrium (LTNE) bioheat Transfer model with porosity and dual lag effects is developed. The model contains partial differential equations and is solved by numerical method. Results: Obtained results demonstrate temperature variations and thermal damage in tissues, influenced by factors like laser intensity, incident duration, and tissue porosity. Higher intensity of laser and longer laser durations increase the temperature distribution and thermal damage as well. Porosity inversely affects temperature distribution, with higher porosity leading to decreased distribution. Novelty: This study introduces the application of multi-time lasers, a novel approach that has not been previously explored in the literature. By investigating the impact of laser parameters and tissue characteristics, it enhances understanding and guides the development of effective laser therapies for medical applications.

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Analysis of dual-phase-lag heat conduction in a two-dimensional slab heated by a moving annular laser pulse

Cited by 13 publications

References 46 publications

Theoretical analysis of a three-dimensional medium heated by a moving volumetric laser heat source under the dual-phase-lag heat transfer model

Theoretical analysis of a three-dimensional medium heated by a moving volumetric laser heat source under the dual-phase-lag heat transfer model

A Thermal Analogue of the Zel’Dovich Effect

Bio-Thermal Non-Equilibrium Dynamics and Thermal Damage in Biological Tissues Induced by Multiple Pulse-Lasers Irradiations

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