Numerical simulation of fractional non-Fourier heat transfer in thin metal films under short-pulse laser

Mozafarifard, Milad; Mortazavinejad, Seyyed Mohsen; Toghraie, Davood

doi:10.1016/j.icheatmasstransfer.2020.104607

Cited by 20 publications

(7 citation statements)

References 31 publications

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“…Combining with equation ( 6) and Taylor series expansion of the Caputo fractional derivative yields 34,41…”

Section: Fdpl Heat Conduction Modelmentioning

confidence: 99%

Fractional dual-phase-lag thermal-mechanical response of an functionally graded spherical microshell with size-dependent effect

Peng,

Pan

2024

The Journal of Strain Analysis for Engineering Design

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Functionally graded materials (FGM) have attracted much attention due to their superior thermal shock resistance in extreme thermal environment. In addition, the memory-dependent feature of transient heat transfer progress can’t be reflected in the frame of integer-order heat conduction model due to the inability of depicting the effect of the past states on the current state. It is noticed that the size-dependent effect of elastic deformation has become significant due to the development of micro-devices. To describe the memory-dependent effect and the size-dependent effect in the functionally graded microstructures, the work aims a thermoelastic model by incorporating the fractional dual-phase-lag heat conduction model and the Eringen’s nonlocal model. To illustrate its application values, the modified model is used to investigate the dynamic performance of an functionally graded spherical microshell subjected to a thermal-mechanical loading. Governing equations including the modified parameters are derived and solved by Laplace transformation. The achieved results show that considering the influences of nonlocal effect and ceramic composition will reduce the thermal deformation under ultrafast heating condition.

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“…Combining with equation ( 6) and Taylor series expansion of the Caputo fractional derivative yields 34,41…”

Section: Fdpl Heat Conduction Modelmentioning

confidence: 99%

Fractional dual-phase-lag thermal-mechanical response of an functionally graded spherical microshell with size-dependent effect

Peng,

Pan

2024

The Journal of Strain Analysis for Engineering Design

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“…The heat transfer model can be achieved by substituting the integer time derivative term with fractional order in the Fourier model as follows (Mozafarifard et al 2020 ): where is the Riemann–Liouville fractional derivative.…”

Section: Derivation Of Fractional Cattaneo Pv Modelmentioning

confidence: 99%

“…Moreover, the steam cycle of Montazeri steam power plant is analyzed for each equipment by Ahmadi and Toghraie ( 2016 ) using energy and exergy assessment. The results found that, according to exergy studies, the boiler is the major exergy waster, losing 85.66% of the total exergy entering the cycle Abdalla et al ( 2022 ), Elbar et al ( 2019 ), Mozafarifard et al ( 2020 ), Qi et al ( 2013 ), Yousef et al ( 2016 , 2022 ).…”

Section: Introductionmentioning

confidence: 99%

A new fractional Cattaneo model for enhancing the thermal performance of photovoltaic panels using heat spreader: energy, exergy, economic and enviroeconomic (4E) analysis

El-Gazar,

Hassan,

Rabia

et al. 2023

Environ Sci Pollut Res

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A new fractional non-Fourier (Cattaneo) photovoltaic (PV) model is presented to enhance the thermal performance of a PV system combined with a heat spreader (HS). The fractional Cattaneo model is shown to be effective in examining transient processes across the entirety of a PV system, in contrast to the conventional Fourier model’s inability to predict system performance. Consequently, a comparison is conducted between the classical Fourier model with the fractional Fourier and fractional Cattaneo models for the PV system. The impact of using an aluminum heat spreader, with rectangular and trapezoidal shapes, has been developed under hot and cold climate conditions. The findings show that adding a trapezoidal heat spreader reduced the cell temperature by 20 K in summer and 12 K in winter. The reduction in the PV temperature led to an enhancement in daily average power by approximately 28% and 37% in hot and cold weather, respectively. Moreover, economic, exergoeconomic, and enviroeconomic assessment is introduced. The outcomes revealed that the electrical production costs of the rectangular and trapezoidal HS systems are 0.272 and 0.214 $/kWh, respectively, while about 0.286 $/kWh for the conventional PV panel. Based on the environmental study, the estimated CO2 reduction for PV, PV with rectangular HS, and PV with trapezoidal spreader is 0.5504, 0.7704, and 0.8012 tons, respectively. Finally, real experimental data are used to validate the fractional Cattaneo model. The results demonstrate that there is a great fitting with the measured data, with errors in PV power and exergy efficiency of just 0.628% and 3.84%, respectively, whereas their corresponding values for the classical model are 5.72 and 13.13%.

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“…With the fractional Fourier model, Jiang and Xu (2010), Yu and Jiang (2019), Warbhe et al (2018), Lizama and Trujillo (2020), Fu et al (2021), Shen et al (2020), Mozafarifard and Toghraie (2020), Žecová and Terpák (2015) investigated the anomalous heat conduction in biological tissues or thin metal films with different heat source. Based on the fractional CV (or single-phase-lag) model, Xu and Wang (2018), Qi et al (2013), Li et al (2019b), Mozafarifard et al (2020, 2021), Li et al (2020) and Goudarzi and Azimi (2019) studied the heat transfer characteristics in a solid structure or tissue under the laser pulse heating. Under the framework of the fractional DPL heat conduction theory, Qiao et al (2021), Wang et al (2020), Kumar et al (2020) analyzed the thermal behavior in living biological tissues during thermal therapy.…”

Section: Introductionmentioning

confidence: 99%

“…However, by summarizing the literature above, it is found that most all studies are limited to specific Caputo fractional Fourier (Fu et al , 2021; Jiang and Xu, 2010; Lizama and Trujillo, 2020; Mozafarifard and Toghraie, 2020; Shen et al , 2020; Warbhe et al , 2018; Yu and Jiang, 2019; Žecová and Terpák, 2015), CV (Goudarzi and Azimi, 2019; Li et al , 2020; Li et al , 2019b; Mozafarifard et al , 2020; Mozafarifard et al , 2021; Qi et al , 2013; Xu and Wang, 2018), DPL (Kumar et al , 2020; Qiao et al , 2021; Li et al , 2021; Wang et al , 2020) and GN (Aldawody et al , 2019; Ezzat and El-Bary, 2018) heat transfer models, there is a lack of a unified fractional heat transfer model to generalize these models. In addition, almost all of the analytical solutions focus on the one-dimensional (1D) fraction heat transfer problem.…”

Section: Introductionmentioning

confidence: 99%

A symplectic approach for the fractional heat transfer and thermal damage in 2D biological tissues

Leng

et al. 2023

HFF

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Purpose This paper aims to focus on the accurate analysis of the fractional heat transfer in a two-dimensional (2D) rectangular monolayer tissue with three different kinds of lateral boundary conditions and the quantitative evaluation of the degree of thermal damage and burn depth. Design/methodology/approach A symplectic method is used to analytically solve the fractional heat transfer dual equation in the frequency domain (s-domain). Explicit expressions of the dual vector can be constructed by superposing the symplectic eigensolutions. The solution procedure is rigorously rational without any trial functions. And the accurate predictions of temperature and heat flux in the time domain (t-domain) are derived through numerical inverse Laplace transform. Findings Comparison study shows that the maximum relative error is less than 0.16%, which verifies the accuracy and effectiveness of the proposed method. The results indicate that the model and heat source parameters have a significant effect on temperature and thermal damage. The pulse duration (Δt) of the laser heat source can effectively control the time to reach the peak temperature and the peak slope of the thermal damage curve. The burn depth is closely correlated with exposure temperature and duration. And there exists the delayed effect of fractional order on burn depth. Originality/value A symplectic approach is presented for the thermal analysis of 2D fractional heat transfer. A unified time-fractional heat transfer model is proposed to describe the anomalous thermal behavior of biological tissue. New findings might provide guidance for temperature prediction and thermal damage assessment of biological tissues during hyperthermia.

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Numerical simulation of fractional non-Fourier heat transfer in thin metal films under short-pulse laser

Cited by 20 publications

References 31 publications

Fractional dual-phase-lag thermal-mechanical response of an functionally graded spherical microshell with size-dependent effect

Fractional dual-phase-lag thermal-mechanical response of an functionally graded spherical microshell with size-dependent effect

A new fractional Cattaneo model for enhancing the thermal performance of photovoltaic panels using heat spreader: energy, exergy, economic and enviroeconomic (4E) analysis

A symplectic approach for the fractional heat transfer and thermal damage in 2D biological tissues

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