3D hybrid finite element enthalpy for anisotropic thermal conduction analysis

Erchiqui, Fouad; Annasabi, Z.

doi:10.1016/j.ijheatmasstransfer.2019.02.096

Cited by 21 publications

(3 citation statements)

References 14 publications

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“…Good accuracy of the POD-FEM solver has been observed on solving linear and nonlinear transient heat conduction problems [11]. An approach using a Cartesian reference system to treat the anisotropic thermal conduction of problems for which the solid medium is characterized by a set of tensors of thermal conductivity of different natures (Cartesian and/or cylindrical and/or spherical), with or without phase change has been made [12]. A more specific study can be carried out in terms of specific boundary condition, such as circular enclosure and a sinusoidal cylinder [13], a heated microcantilever and a surrounding air environment [14], etc.…”

Section: Literature Reviewmentioning

confidence: 99%

Finite element analysis on heat convection effect on air temperature distribution in a heated room

Chen

2023

TNS

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Using the finite element method to solve heat transfer problem in solid medium has been popular since last century, but heat convection effect in fluid medium makes the problem cumbersome to solve efficiently. Thermal transfer calculation of fluid medium is complicated, because solving heat convection and Navier-Stokes equation is hard. By making proper assumptions, intricate equations can be skipped, and it is possible to give rough estimate of heat transfer result through a simple and efficient calculation. Which is significant for design and verifiction of heating system for physicists and engineers. The study aims to solve the temperature distribution of a certain heat system, using finite elment method and with given assumpted air circumfluence. In the calculation, the room domain is subdivided into finite elments, and the boundary condition is given according to the heat influx and emmision, air circumfluence is introduced to simulate the effect of convection. The simplified model illustrated that the finite element method is effective in giving quantitative result of heat transfer calculation. It also qualitatively showcased the significance of heat convection, when the result is compared to calculation without any air flow.

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Section: Literature Reviewmentioning

confidence: 99%

Finite element analysis on heat convection effect on air temperature distribution in a heated room

Chen

2023

TNS

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“…However, the approach proposed to model the heat equation in terms of anisotropic enthalpy of volume is, in our opinion, very robust and applicable, a priori, to any type of wood product (frozen or unfrozen). However, in cases where the product to be treated by microwaves is a multi-material with multi-orientation of the thermal conductivity matrices, it is then appropriate to use more appropriate approaches such as the one presented in (Erchiqui and Annasabi 2019). Moreover, this new approach, coupled with Maxwell's equations, is under development.…”

Section: Aspen Tremblingmentioning

confidence: 99%

Towards Sustainable Buildings with Free-Form Geometries: Development and Application of Flexible NFRP in Load-Bearing Structures

Dahy

2021

Biocomposite Materials

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“…For example, crystals can be grouped into seven distinct systems; as a result, there is a specific thermal conductivity tensor associated with each system [28]. If we consider that an anisotropic sample is placed between two isothermal contacts, then according to Duhamel's generalization [29] of the Fourier's law of heat conduction the local heat flux under a 3D orthogonal coordinate system (x,y,z) is given by…”

Section: Analytical Approach and Application To Experimental Lattice ...mentioning

confidence: 99%

Anisotropic thermal conductivity in lattice transition thermal rectifiers

Alvarez-Quintana

2021

J. Phys. D: Appl. Phys.

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Lattice transition materials can exist in two phases with different thermal conductivities. Because of this, phase change materials (PCMs) are considered as promising next-generation thermal rectifying materials. The performance of a thermal rectifier known as rectification factor (R) is evaluated by the ratio between the heat that preferentially flows in the forward direction and that in the reverse one. In this work, taking into consideration that PCMs have the striking characteristic of high anisotropy, we propose an analytical framework based on the thermal conductivity tensor theory for predicting the R of lattice transition thermal rectifiers. Because of lattice symmetries, model unveils that the rectification factor is ruled, as well as limited by the ratio of the principal thermal conductivity tensor components present in each phase and the thermal conductivity of the invariant phase material. Furthermore, to validate our predictions the model is applied to the existing experimental systems in the literature, providing accurately truthfulness on observed R. Hence, the analytical model is promising from both theoretical and experimental points of view to understand the effects which allow developing a procedure for engineering an enhanced performance thermal rectifying device.

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3D hybrid finite element enthalpy for anisotropic thermal conduction analysis

Cited by 21 publications

References 14 publications

Finite element analysis on heat convection effect on air temperature distribution in a heated room

Finite element analysis on heat convection effect on air temperature distribution in a heated room

Towards Sustainable Buildings with Free-Form Geometries: Development and Application of Flexible NFRP in Load-Bearing Structures

Anisotropic thermal conductivity in lattice transition thermal rectifiers

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