Second-law Considerations in Monte Carlo Ray-trace and Discrete Green's Function Analysis of Coupled Radiation and Conduction Heat Transfer

IF 2.8 4区工程技术 Q2 ENGINEERING, MECHANICAL

Journal of Heat Transfer-transactions of The Asme Pub Date : 2023-03-21 DOI:10.1115/1.4062174

B. Vick, J. Mahan, M. Yarahmadi, K. Priestley

{"title":"Second-law Considerations in Monte Carlo Ray-trace and Discrete Green's Function Analysis of Coupled Radiation and Conduction Heat Transfer","authors":"B. Vick, J. Mahan, M. Yarahmadi, K. Priestley","doi":"10.1115/1.4062174","DOIUrl":null,"url":null,"abstract":"\n A new generic Monte Carlo ray-trace (MCRT) engine for computing radiation distribution factors (RDFs) working in tandem with an efficient finite-volume formulation based on discrete Green's functions (DGFs) has facilitated solution of massive (thousands of nodes) coupled radiation and conduction heat transfer problems. The MCRT method produces RDFs whose accuracy depends on the number of rays traced per surface element and the number of surface elements. Solution of pure radiation problems using RDFs is unconditionally stable and the uncertainty of results obtained is well documented in the literature. However, when RDFs are used in conjunction with time-dependent finite-volume conduction formulations based on DGFs, errors result due to local violations of the second law of thermodynamics related to small imbalances in RDF reciprocity. Described is a novel approach to eliminating RDF reciprocity imbalances without violating the first law of thermodynamics. The approach is demonstrated for dynamic thermal analysis of an Earth radiation budget instrument concept composed of 2636 surface elements and a similar number of volume elements.","PeriodicalId":15937,"journal":{"name":"Journal of Heat Transfer-transactions of The Asme","volume":"22 1","pages":""},"PeriodicalIF":2.8000,"publicationDate":"2023-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Heat Transfer-transactions of The Asme","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1115/1.4062174","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, MECHANICAL","Score":null,"Total":0}

引用次数: 0

Abstract

A new generic Monte Carlo ray-trace (MCRT) engine for computing radiation distribution factors (RDFs) working in tandem with an efficient finite-volume formulation based on discrete Green's functions (DGFs) has facilitated solution of massive (thousands of nodes) coupled radiation and conduction heat transfer problems. The MCRT method produces RDFs whose accuracy depends on the number of rays traced per surface element and the number of surface elements. Solution of pure radiation problems using RDFs is unconditionally stable and the uncertainty of results obtained is well documented in the literature. However, when RDFs are used in conjunction with time-dependent finite-volume conduction formulations based on DGFs, errors result due to local violations of the second law of thermodynamics related to small imbalances in RDF reciprocity. Described is a novel approach to eliminating RDF reciprocity imbalances without violating the first law of thermodynamics. The approach is demonstrated for dynamic thermal analysis of an Earth radiation budget instrument concept composed of 2636 surface elements and a similar number of volume elements.

查看原文本刊更多论文

辐射与传导耦合传热的蒙特卡罗射线迹和离散格林函数分析中的第二定律考虑

一种新的通用蒙特卡罗射线追踪(MCRT)引擎用于计算辐射分布因子(RDFs)与基于离散格林函数(DGFs)的有效有限体积公式协同工作，促进了大规模(数千个节点)耦合辐射和传导传热问题的解决。MCRT方法产生的rdf的精度取决于每个表面元素跟踪的射线数量和表面元素的数量。用rdf求解纯辐射问题是无条件稳定的，得到的结果的不确定性在文献中有很好的记载。然而，当RDF与基于dgf的时间相关的有限体积传导公式结合使用时，由于局部违反与RDF互反中的小不平衡有关的热力学第二定律而导致错误。描述了一种在不违反热力学第一定律的情况下消除RDF互反不平衡的新方法。该方法用于由2636个表面单元和相似数量的体积单元组成的地球辐射收支仪概念的动态热分析。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Journal of Heat Transfer-transactions of The Asme 工程技术-工程：机械

自引率

0.00%

发文量

182

审稿时长

4.7 months

期刊介绍： Topical areas including, but not limited to: Biological heat and mass transfer; Combustion and reactive flows; Conduction; Electronic and photonic cooling; Evaporation, boiling, and condensation; Experimental techniques; Forced convection; Heat exchanger fundamentals; Heat transfer enhancement; Combined heat and mass transfer; Heat transfer in manufacturing; Jets, wakes, and impingement cooling; Melting and solidification; Microscale and nanoscale heat and mass transfer; Natural and mixed convection; Porous media; Radiative heat transfer; Thermal systems; Two-phase flow and heat transfer. Such topical areas may be seen in: Aerospace; The environment; Gas turbines; Biotechnology; Electronic and photonic processes and equipment; Energy systems, Fire and combustion, heat pipes, manufacturing and materials processing, low temperature and arctic region heat transfer; Refrigeration and air conditioning; Homeland security systems; Multi-phase processes; Microscale and nanoscale devices and processes.