Mesoscopic lattice Boltzmann model for radiative heat transfer in graded-index media
Convection, conduction, and thermal radiation are the three mechanisms of heat transfer in nature. The lattice Boltzmann model (LBM) has already achieved great success in dealing with convection and conduction problems. However, the mature LBM for radiative heat transfer (RHT) is still relatively la...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2022-02-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.4.013125 |
| _version_ | 1827285579886231552 |
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| author | Xiaochuan Liu Si Wu Keyong Zhu Yuepei Cai Yong Huang |
| author_facet | Xiaochuan Liu Si Wu Keyong Zhu Yuepei Cai Yong Huang |
| author_sort | Xiaochuan Liu |
| collection | DOAJ |
| description | Convection, conduction, and thermal radiation are the three mechanisms of heat transfer in nature. The lattice Boltzmann model (LBM) has already achieved great success in dealing with convection and conduction problems. However, the mature LBM for radiative heat transfer (RHT) is still relatively lacking. Here we propose a mesoscopic LBM for RHT in graded-index media, which enables a simple and efficient solution of both transient and steady-state RHT in graded-index media by conducting collision and streaming processes. Via the Chapman-Enskog analysis, the radiative transfer equation of graded-index media is rigorously derived from the proposed LBM. The present LBM is a universal model for RHT in media with arbitrary refractive index distribution, which can naturally handle RHT in homogeneous media with constant refractive index. This model is expected to provide a simple and efficient mesoscopic tool for RHT in complex media and pave the way for establishing a unified framework of LBM for convection, conduction, and thermal radiation heat transfer. |
| first_indexed | 2024-04-24T10:16:08Z |
| format | Article |
| id | doaj.art-53621a345d504f6b8132f5cae0dff985 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:16:08Z |
| publishDate | 2022-02-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-53621a345d504f6b8132f5cae0dff9852024-04-12T17:18:10ZengAmerican Physical SocietyPhysical Review Research2643-15642022-02-014101312510.1103/PhysRevResearch.4.013125Mesoscopic lattice Boltzmann model for radiative heat transfer in graded-index mediaXiaochuan LiuSi WuKeyong ZhuYuepei CaiYong HuangConvection, conduction, and thermal radiation are the three mechanisms of heat transfer in nature. The lattice Boltzmann model (LBM) has already achieved great success in dealing with convection and conduction problems. However, the mature LBM for radiative heat transfer (RHT) is still relatively lacking. Here we propose a mesoscopic LBM for RHT in graded-index media, which enables a simple and efficient solution of both transient and steady-state RHT in graded-index media by conducting collision and streaming processes. Via the Chapman-Enskog analysis, the radiative transfer equation of graded-index media is rigorously derived from the proposed LBM. The present LBM is a universal model for RHT in media with arbitrary refractive index distribution, which can naturally handle RHT in homogeneous media with constant refractive index. This model is expected to provide a simple and efficient mesoscopic tool for RHT in complex media and pave the way for establishing a unified framework of LBM for convection, conduction, and thermal radiation heat transfer.http://doi.org/10.1103/PhysRevResearch.4.013125 |
| spellingShingle | Xiaochuan Liu Si Wu Keyong Zhu Yuepei Cai Yong Huang Mesoscopic lattice Boltzmann model for radiative heat transfer in graded-index media Physical Review Research |
| title | Mesoscopic lattice Boltzmann model for radiative heat transfer in graded-index media |
| title_full | Mesoscopic lattice Boltzmann model for radiative heat transfer in graded-index media |
| title_fullStr | Mesoscopic lattice Boltzmann model for radiative heat transfer in graded-index media |
| title_full_unstemmed | Mesoscopic lattice Boltzmann model for radiative heat transfer in graded-index media |
| title_short | Mesoscopic lattice Boltzmann model for radiative heat transfer in graded-index media |
| title_sort | mesoscopic lattice boltzmann model for radiative heat transfer in graded index media |
| url | http://doi.org/10.1103/PhysRevResearch.4.013125 |
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