Establishment of non-Fourier heat conduction model for an accurate transient thermal response in wet fins

Non-Fourier heat conduction model with dual phase lag wave-diffusion model was analyzed by using well-conditioned asymptotic wave evaluation (WCAWE) and finite element method (FEM). The non-Fourier heat conduction has been investigated where the maximum likelihood (ML) and Tikhonov regularization technique were used successfully to predict the accurate and stable temperature responses without the loss of initial nonlinear/high frequency response. To reduce the increased computational time by Tikhonov WCAWE using ML (TWCAWE-ML), another well-conditioned scheme, called mass effect (ME) T-WCAWE, is introduced. TWCAWE with ME (TWCAWE-ME) showed more stable and accurate temperature spectrum in comparison to asymptotic wave evaluation (AWE) and also partial Pade AWE without sacrificing the computational time. However, the TWCAWE-ML remains as the most stable and hence accurate model to analyze the fast transient thermal analysis of non-Fourier heat conduction model.

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Non-Fourier Heat Conduction of a Functionally Graded Cylinder Containing a Cylindrical Crack

Advances in Mathematical Physics ◽

10.1155/2020/8121295 ◽

2020 ◽

Vol 2020 ◽

pp. 1-11 ◽

Cited By ~ 1

Author(s):

Jiawei Fu ◽

Keqiang Hu ◽

Linfang Qian ◽

Zengtao Chen

Keyword(s):

Heat Flux ◽

Heat Conduction ◽

Intensity Factor ◽

Functionally Graded ◽

Conduction Model ◽

Heat Conduction Model ◽

Flux Intensity ◽

Cylindrical Crack ◽

Heat Flux Intensity ◽

Fourier Heat Conduction

The present work investigates the problem of a cylindrical crack in a functionally graded cylinder under thermal impact by using the non-Fourier heat conduction model. The theoretical derivation is performed by methods of Fourier integral transform, Laplace transform, and Cauchy singular integral equation. The concept of heat flux intensity factor is introduced to investigate the heat concentration degree around the crack tip quantitatively. The temperature field and the heat flux intensity factor in the time domain are obtained by transforming the corresponding quantities from the Laplace domain numerically. The effects of heat conduction model, functionally graded parameter, and thermal resistance of crack on the temperature distribution and heat flux intensity factor are studied. This work is beneficial for the thermal design of functionally graded cylinder containing a cylindrical crack.

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THE NON-FOURIER HEAT CONDUCTION MODEL BETWEEN THE CASTING ROLLER AND THE SLAB

Proceedings of the 2015 International conference on Applied Science and Engineering Innovation ◽

10.2991/asei-15.2015.108 ◽

2015 ◽

Author(s):

Yonggang Xiong ◽

Yunyu Liu ◽

Jiping Wu ◽

Wanpeng Tian ◽

Minxian Du ◽

...

Keyword(s):

Heat Conduction ◽

Conduction Model ◽

Heat Conduction Model ◽

Fourier Heat Conduction

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Application of the Reverberation-Ray Matrix to the Non-Fourier Heat Conduction in Functionally Graded Materials

Zeitschrift für Naturforschung A ◽

10.1515/zna-2015-0345 ◽

2016 ◽

Vol 71 (2) ◽

pp. 113-119

Author(s):

Feng-xi Zhou

Keyword(s):

Heat Conduction ◽

Functionally Graded Materials ◽

Thermal Response ◽

Functionally Graded ◽

Conduction Model ◽

Graded Materials ◽

Material Inhomogeneity ◽

Power Law Function ◽

Fourier Heat Conduction ◽

And Diffusion

AbstractThe method of the reverberation-ray matrix has been developed and successfully applied to analyse the wave propagation in a multibranched framed structure or in a layered medium. However, the method is confined to the case of mechanical loads applied at the medium until now. This paper aims to extend the formulation of the reverberation-ray matrix to cases of thermal propagation and diffusion. The thermal response in functionally graded materials (FGM) with the non-Fourier heat conduction model is analysed. In the present work, it is assumed that the material properties of an FG plate vary only in the thickness direction by following the power law function. The effect of non-Fourier and material inhomogeneity in the plate subjected to a periodic thermal disturbance is investigated. The present approach is validated by comparing it with the solutions obtained by other methods.

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A Study of Non-Equilibrium Heat Transfer in Microporous Media

Heat Transfer: Volume 2 ◽

10.1115/ht2003-47385 ◽

2003 ◽

Author(s):

A. G. Agwu Nnanna

Keyword(s):

Heat Conduction ◽

Thermal Diffusivity ◽

Early Stage ◽

Near Field ◽

Heating Process ◽

Conduction Model ◽

Heat Conduction Model ◽

Fourier Heat Conduction ◽

Microporous Media ◽

Non Equilibrium

A numerical study of the non-Fourier heat conduction in microporous media is presented. The governing energy equation is formulated based on the two-equation model and the non-Fourier heat conduction model. This formulation leads to the emergence of three thermal lag-times. These parameters account for the thermal interaction between the fluid and neighboring solid matrix as well as the delay time needed for both phases to approach thermal equilibrium. Numerical experiments were conducted for various microporous media to study the thermal non-equilibrium behavior. Results show that the thermal non-equilibrium phenomena have significant effect on the transient response of the porous media only during the early stage of the heating process and in the near-field region where the heat source is located. The thermal responses of the various microporous media were compared to gain understanding of the effect of thermal diffusivity on thermodynamic non-equilibrium phenomena. It was found that the influence of thermal diffusivity is small especially in the near-field (96–200μm). Also, results obtained using the non-Fourier heat conduction model deviates from the predictions based on the classical Fourier model only during the early stage of the heating process. At large time, results obtained from both models are in good agreement.

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