Implicit modular coupled heat transfer analysis for functionally graded materials using the SVC-FMC method

Functionally graded materials have found extensive applications in the aerospace industry and solar energy systems due to their excellent performance in enhancing heat transfer/insulation. Developing corresponding theoretical frameworks for the coupled radiation and conduction heat transfer (CRCHT)...

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Main Authors: Ze-Yu Zhu, Bao-Hai Gao, Zhi-Tian Niu, Ya-Tao Ren, Ming-Jian He, Hong Qi
Format: Article
Language:English
Published: Elsevier 2024-11-01
Series:Case Studies in Thermal Engineering
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Online Access:http://www.sciencedirect.com/science/article/pii/S2214157X24014242
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author Ze-Yu Zhu
Bao-Hai Gao
Zhi-Tian Niu
Ya-Tao Ren
Ming-Jian He
Hong Qi
author_facet Ze-Yu Zhu
Bao-Hai Gao
Zhi-Tian Niu
Ya-Tao Ren
Ming-Jian He
Hong Qi
author_sort Ze-Yu Zhu
collection DOAJ
description Functionally graded materials have found extensive applications in the aerospace industry and solar energy systems due to their excellent performance in enhancing heat transfer/insulation. Developing corresponding theoretical frameworks for the coupled radiation and conduction heat transfer (CRCHT) is crucial for unlocking their full potential and expanding their applicability in various high-performance and critical applications. Considering the limitations of existing frameworks in addressing CRCHT problems in practical applications, such as the explicit iteration procedure and the linearization assumption, a fully implicit framework as the source value caching function Monte Carlo (SVC-FMC) method is proposed based on the null collision reverse Monte Carlo and the Green's Function Markov Superposition Monte Carlo, which are suitable for solving the radiative transfer equation and the energy equation within non-uniform media. The accuracy of the proposed method is validated with different heat transfer systems. It was observed that the maximum root mean square error during the verification process did not exceed 0.08, thereby demonstrating the efficacy of SVC-FMC in analyzing CRCHT processes involving gradient materials. Results reveal that the material properties that transcend the functional distribution form will augment the strengthening effect of heat transfer/insulation. The scattering characteristics significantly influence the strengthening effect caused by refractive index distribution.
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institution Kabale University
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publishDate 2024-11-01
publisher Elsevier
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series Case Studies in Thermal Engineering
spelling doaj-art-074b42fced4c41e78e57f2a42e1a4a0a2024-11-14T04:32:13ZengElsevierCase Studies in Thermal Engineering2214-157X2024-11-0163105393Implicit modular coupled heat transfer analysis for functionally graded materials using the SVC-FMC methodZe-Yu Zhu0Bao-Hai Gao1Zhi-Tian Niu2Ya-Tao Ren3Ming-Jian He4Hong Qi5School of Energy Science and Engineering, Harbin Institute of Technology, Harbin, 150001, ChinaSchool of Energy Science and Engineering, Harbin Institute of Technology, Harbin, 150001, China; Key Laboratory of Aerospace Thermophysics, Ministry of Industry and Information Technology, Harbin, 150001, China; Corresponding author. School of Energy Science and Engineering, Harbin Institute of Technology, Harbin, 150001, China.College of Metrology Measurement and Instrument, China Jiliang University, Hangzhou 310018, ChinaSchool of Energy Science and Engineering, Harbin Institute of Technology, Harbin, 150001, China; Key Laboratory of Aerospace Thermophysics, Ministry of Industry and Information Technology, Harbin, 150001, China; Corresponding author. School of Energy Science and Engineering, Harbin Institute of Technology, Harbin, 150001, China.School of Energy Science and Engineering, Harbin Institute of Technology, Harbin, 150001, China; Key Laboratory of Aerospace Thermophysics, Ministry of Industry and Information Technology, Harbin, 150001, ChinaSchool of Energy Science and Engineering, Harbin Institute of Technology, Harbin, 150001, China; Key Laboratory of Aerospace Thermophysics, Ministry of Industry and Information Technology, Harbin, 150001, ChinaFunctionally graded materials have found extensive applications in the aerospace industry and solar energy systems due to their excellent performance in enhancing heat transfer/insulation. Developing corresponding theoretical frameworks for the coupled radiation and conduction heat transfer (CRCHT) is crucial for unlocking their full potential and expanding their applicability in various high-performance and critical applications. Considering the limitations of existing frameworks in addressing CRCHT problems in practical applications, such as the explicit iteration procedure and the linearization assumption, a fully implicit framework as the source value caching function Monte Carlo (SVC-FMC) method is proposed based on the null collision reverse Monte Carlo and the Green's Function Markov Superposition Monte Carlo, which are suitable for solving the radiative transfer equation and the energy equation within non-uniform media. The accuracy of the proposed method is validated with different heat transfer systems. It was observed that the maximum root mean square error during the verification process did not exceed 0.08, thereby demonstrating the efficacy of SVC-FMC in analyzing CRCHT processes involving gradient materials. Results reveal that the material properties that transcend the functional distribution form will augment the strengthening effect of heat transfer/insulation. The scattering characteristics significantly influence the strengthening effect caused by refractive index distribution.http://www.sciencedirect.com/science/article/pii/S2214157X24014242Functionally graded materialCoupled radiation and conduction heat transferEnergy equationradiative heat transferMonte Carlo method
spellingShingle Ze-Yu Zhu
Bao-Hai Gao
Zhi-Tian Niu
Ya-Tao Ren
Ming-Jian He
Hong Qi
Implicit modular coupled heat transfer analysis for functionally graded materials using the SVC-FMC method
Case Studies in Thermal Engineering
Functionally graded material
Coupled radiation and conduction heat transfer
Energy equation
radiative heat transfer
Monte Carlo method
title Implicit modular coupled heat transfer analysis for functionally graded materials using the SVC-FMC method
title_full Implicit modular coupled heat transfer analysis for functionally graded materials using the SVC-FMC method
title_fullStr Implicit modular coupled heat transfer analysis for functionally graded materials using the SVC-FMC method
title_full_unstemmed Implicit modular coupled heat transfer analysis for functionally graded materials using the SVC-FMC method
title_short Implicit modular coupled heat transfer analysis for functionally graded materials using the SVC-FMC method
title_sort implicit modular coupled heat transfer analysis for functionally graded materials using the svc fmc method
topic Functionally graded material
Coupled radiation and conduction heat transfer
Energy equation
radiative heat transfer
Monte Carlo method
url http://www.sciencedirect.com/science/article/pii/S2214157X24014242
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