Monte Carlo Method for Calculating View Factor of Truncated Cone Radiators
To address radiative heat transfer problems, the determination of view factors is crucial. In this study, the focus is placed on the calculation of the view factor using the Monte Carlo method, specifically for truncated cone radiators. Although reference books offer theoretical relations for comput...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Semnan University
2023-11-01
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| Series: | Journal of Heat and Mass Transfer Research |
| Subjects: | |
| Online Access: | https://jhmtr.semnan.ac.ir/article_8321_6f716767dcd451c68cfcf174cfc772ab.pdf |
| _version_ | 1797259565921730560 |
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| author | Mojtaba Mirhosseini Amirpouya Hosseini |
| author_facet | Mojtaba Mirhosseini Amirpouya Hosseini |
| author_sort | Mojtaba Mirhosseini |
| collection | DOAJ |
| description | To address radiative heat transfer problems, the determination of view factors is crucial. In this study, the focus is placed on the calculation of the view factor using the Monte Carlo method, specifically for truncated cone radiators. Although reference books offer theoretical relations for computing the view factor, a new approach employing the Monte Carlo method is utilized to ensure the accuracy of the general solution. To measure the accuracy, three types of cases are considered: positive, negative, and zero-angle truncated cones with a fixed disk (ring) at the base of the cone. The results are presented for various ratios between the height of the truncated cone and the radii of the ring and base side of the cone. Additionally, the impact of different angles of the truncated cone on the view factor is investigated. In the zero-angle case, five different L/r1 are examined, in the positive angle case, seven different positive angles in two different L/r1 are studied, and in the negative angle case, three negative angles in three different L/r1 are studied. For positive angles, the maximum difference between the results of Monte Carlo method and theoretical method is 42.81% and occurred in L/r1 equal to 5 and 40 degrees. While for zero-angle the maximum difference is 30.16% and occurred in L/r1 equal to 10. In the negative angle case, the maximum difference is 36.66% and occurred in L/r1 equal to 0.2 and -15 degrees. |
| first_indexed | 2024-04-24T23:11:27Z |
| format | Article |
| id | doaj.art-55fe84f604214523a91c4eed110bac79 |
| institution | Directory Open Access Journal |
| issn | 2345-508X 2383-3068 |
| language | English |
| last_indexed | 2024-04-24T23:11:27Z |
| publishDate | 2023-11-01 |
| publisher | Semnan University |
| record_format | Article |
| series | Journal of Heat and Mass Transfer Research |
| spelling | doaj.art-55fe84f604214523a91c4eed110bac792024-03-17T08:04:46ZengSemnan UniversityJournal of Heat and Mass Transfer Research2345-508X2383-30682023-11-0110226927810.22075/jhmtr.2023.30700.14448321Monte Carlo Method for Calculating View Factor of Truncated Cone RadiatorsMojtaba Mirhosseini0Amirpouya Hosseini1School of Advanced Technologies, Iran University of Science and Technology, Tehran, IranSchool of Advanced Technologies, Iran University of Science and Technology, Tehran, IranTo address radiative heat transfer problems, the determination of view factors is crucial. In this study, the focus is placed on the calculation of the view factor using the Monte Carlo method, specifically for truncated cone radiators. Although reference books offer theoretical relations for computing the view factor, a new approach employing the Monte Carlo method is utilized to ensure the accuracy of the general solution. To measure the accuracy, three types of cases are considered: positive, negative, and zero-angle truncated cones with a fixed disk (ring) at the base of the cone. The results are presented for various ratios between the height of the truncated cone and the radii of the ring and base side of the cone. Additionally, the impact of different angles of the truncated cone on the view factor is investigated. In the zero-angle case, five different L/r1 are examined, in the positive angle case, seven different positive angles in two different L/r1 are studied, and in the negative angle case, three negative angles in three different L/r1 are studied. For positive angles, the maximum difference between the results of Monte Carlo method and theoretical method is 42.81% and occurred in L/r1 equal to 5 and 40 degrees. While for zero-angle the maximum difference is 30.16% and occurred in L/r1 equal to 10. In the negative angle case, the maximum difference is 36.66% and occurred in L/r1 equal to 0.2 and -15 degrees.https://jhmtr.semnan.ac.ir/article_8321_6f716767dcd451c68cfcf174cfc772ab.pdfradiationray tracing methodmonte carlo methodconfiguration factorfrustumcone angle |
| spellingShingle | Mojtaba Mirhosseini Amirpouya Hosseini Monte Carlo Method for Calculating View Factor of Truncated Cone Radiators Journal of Heat and Mass Transfer Research radiation ray tracing method monte carlo method configuration factor frustum cone angle |
| title | Monte Carlo Method for Calculating View Factor of Truncated Cone Radiators |
| title_full | Monte Carlo Method for Calculating View Factor of Truncated Cone Radiators |
| title_fullStr | Monte Carlo Method for Calculating View Factor of Truncated Cone Radiators |
| title_full_unstemmed | Monte Carlo Method for Calculating View Factor of Truncated Cone Radiators |
| title_short | Monte Carlo Method for Calculating View Factor of Truncated Cone Radiators |
| title_sort | monte carlo method for calculating view factor of truncated cone radiators |
| topic | radiation ray tracing method monte carlo method configuration factor frustum cone angle |
| url | https://jhmtr.semnan.ac.ir/article_8321_6f716767dcd451c68cfcf174cfc772ab.pdf |
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