Computational radiative transport in complex geometries using orthogonal coordinates

IF 4.3 3区 工程技术 Q1 MECHANICS Journal of Non-Equilibrium Thermodynamics Pub Date : 2023-09-05 DOI:10.1515/jnet-2023-0009
Md. Ershadul Haque, S. Mansoor, B. Yilbas
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Abstract

Abstract Radiative heat transport involving complex geometries is an important area of investigation. The formulation of the transport phenomenon is more involved and consideration of the proper treatment of the irregular geometry becomes necessary for accurate estimation of heat transfer rates. Therefore, the present study focuses on the modeling and the solution of the radiative transfer equation (RTE) in an absorbing, emitting, and isotropically scattering, participating media for complex geometries using the body-fitted coordinates. The RTE in an orthogonal coordinate system is formulated and is then numerically solved in conjunction with a numerically generated, body-fitted, curvilinear coordinate system. The geometries are considered to be opaque and, in the analysis, both the radiative as well as the non-radiative equilibrium cases are considered. The formulation is validated through the previously published results. Notable agreement is observed between the results and those reported earlier for different complex geometries and various properties of the participating media.
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利用正交坐标计算复杂几何中的辐射输运
摘要复杂几何形状的辐射热传输是一个重要的研究领域。传输现象的公式化更为复杂,为了准确估计传热率,有必要考虑对不规则几何形状的适当处理。因此,本研究的重点是使用贴体坐标对复杂几何形状的吸收、发射和各向同性散射参与介质中的辐射传输方程(RTE)进行建模和求解。正交坐标系中的RTE是公式化的,然后与数值生成的贴体曲线坐标系一起进行数值求解。几何结构被认为是不透明的,在分析中,既考虑了辐射平衡情况,也考虑了非辐射平衡情况。该配方通过先前公布的结果进行了验证。对于不同的复杂几何形状和参与介质的各种性质,在结果与先前报道的结果之间观察到显著的一致性。
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来源期刊
CiteScore
9.10
自引率
18.20%
发文量
31
审稿时长
1 months
期刊介绍: The Journal of Non-Equilibrium Thermodynamics serves as an international publication organ for new ideas, insights and results on non-equilibrium phenomena in science, engineering and related natural systems. The central aim of the journal is to provide a bridge between science and engineering and to promote scientific exchange on a) newly observed non-equilibrium phenomena, b) analytic or numeric modeling for their interpretation, c) vanguard methods to describe non-equilibrium phenomena. Contributions should – among others – present novel approaches to analyzing, modeling and optimizing processes of engineering relevance such as transport processes of mass, momentum and energy, separation of fluid phases, reproduction of living cells, or energy conversion. The journal is particularly interested in contributions which add to the basic understanding of non-equilibrium phenomena in science and engineering, with systems of interest ranging from the macro- to the nano-level. The Journal of Non-Equilibrium Thermodynamics has recently expanded its scope to place new emphasis on theoretical and experimental investigations of non-equilibrium phenomena in thermophysical, chemical, biochemical and abstract model systems of engineering relevance. We are therefore pleased to invite submissions which present newly observed non-equilibrium phenomena, analytic or fuzzy models for their interpretation, or new methods for their description.
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