Hybrid Lattice Boltzmann Scheme for Conductive-convective-radiative Heat Transfer
This paper presents the hybrid lattice Boltzmann model to study the interaction of conduction, natural convection and surface radiation. A square air-filled cavity with finite thickness walls is considered. The heat source is fixed at the top solid-fluid interface. The boundary conditions of the fir...
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Shahid Chamran University of Ahvaz
2025-10-01
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| Series: | Journal of Applied and Computational Mechanics |
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| Online Access: | https://jacm.scu.ac.ir/article_19456_3777c1b5f242d5c766e9afeb4b6c6354.pdf |
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| author | Alexander Nee |
| author_facet | Alexander Nee |
| author_sort | Alexander Nee |
| collection | DOAJ |
| description | This paper presents the hybrid lattice Boltzmann model to study the interaction of conduction, natural convection and surface radiation. A square air-filled cavity with finite thickness walls is considered. The heat source is fixed at the top solid-fluid interface. The boundary conditions of the first, second, third and fourth kind are used to describe the problem under. The fluid flow and heat transfer under the Boussinesq approximation are analyzed by means of the lattice Boltzmann and energy equations discretized by the single relaxation time approximation and implicit finite difference schemes, respectively. Surface thermal radiation is computed in terms of the radiosity/irradiation model solved by the Gaussian elimination method. An in-house MATLAB code was carefully validated against three typical benchmark problems. For the first time, the full 2D conduction-convection-radiation coupling is numerically analyzed by the hybrid lattice Boltzmann (HLB) method. It is found that the HLB model reproduces the same conjugate heat transfer and fluid flow patterns as the vorticity-stream function (VS) formulation. For the first time, a comparative study of computational efficiency of the HLB and VS models is carried out. It is shown that the VS model outperforms the HLB scheme with a low grid resolution. However, the hybrid lattice Boltzmann model is faster than the vorticity-stream function formulation when using the mesh points more than 3612. With this regard, the HLB scheme is preferable to use in problems where the steep velocity or temperature gradients should be accurately resolved. |
| format | Article |
| id | doaj-art-5fd56dbc8d184f5ba2157fdb26484c86 |
| institution | DOAJ |
| issn | 2383-4536 |
| language | English |
| publishDate | 2025-10-01 |
| publisher | Shahid Chamran University of Ahvaz |
| record_format | Article |
| series | Journal of Applied and Computational Mechanics |
| spelling | doaj-art-5fd56dbc8d184f5ba2157fdb26484c862025-08-20T03:12:15ZengShahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45362025-10-011141149116110.22055/jacm.2025.47928.484819456Hybrid Lattice Boltzmann Scheme for Conductive-convective-radiative Heat TransferAlexander Nee0Research School of High-Energy Physics, National Research Tomsk Polytechnic University, Tomsk, RussiaThis paper presents the hybrid lattice Boltzmann model to study the interaction of conduction, natural convection and surface radiation. A square air-filled cavity with finite thickness walls is considered. The heat source is fixed at the top solid-fluid interface. The boundary conditions of the first, second, third and fourth kind are used to describe the problem under. The fluid flow and heat transfer under the Boussinesq approximation are analyzed by means of the lattice Boltzmann and energy equations discretized by the single relaxation time approximation and implicit finite difference schemes, respectively. Surface thermal radiation is computed in terms of the radiosity/irradiation model solved by the Gaussian elimination method. An in-house MATLAB code was carefully validated against three typical benchmark problems. For the first time, the full 2D conduction-convection-radiation coupling is numerically analyzed by the hybrid lattice Boltzmann (HLB) method. It is found that the HLB model reproduces the same conjugate heat transfer and fluid flow patterns as the vorticity-stream function (VS) formulation. For the first time, a comparative study of computational efficiency of the HLB and VS models is carried out. It is shown that the VS model outperforms the HLB scheme with a low grid resolution. However, the hybrid lattice Boltzmann model is faster than the vorticity-stream function formulation when using the mesh points more than 3612. With this regard, the HLB scheme is preferable to use in problems where the steep velocity or temperature gradients should be accurately resolved.https://jacm.scu.ac.ir/article_19456_3777c1b5f242d5c766e9afeb4b6c6354.pdfconjugate heat transfersurface radiation, natural convection, hybrid lattice boltzmann method, finite difference method |
| spellingShingle | Alexander Nee Hybrid Lattice Boltzmann Scheme for Conductive-convective-radiative Heat Transfer Journal of Applied and Computational Mechanics conjugate heat transfer surface radiation, natural convection, hybrid lattice boltzmann method, finite difference method |
| title | Hybrid Lattice Boltzmann Scheme for Conductive-convective-radiative Heat Transfer |
| title_full | Hybrid Lattice Boltzmann Scheme for Conductive-convective-radiative Heat Transfer |
| title_fullStr | Hybrid Lattice Boltzmann Scheme for Conductive-convective-radiative Heat Transfer |
| title_full_unstemmed | Hybrid Lattice Boltzmann Scheme for Conductive-convective-radiative Heat Transfer |
| title_short | Hybrid Lattice Boltzmann Scheme for Conductive-convective-radiative Heat Transfer |
| title_sort | hybrid lattice boltzmann scheme for conductive convective radiative heat transfer |
| topic | conjugate heat transfer surface radiation, natural convection, hybrid lattice boltzmann method, finite difference method |
| url | https://jacm.scu.ac.ir/article_19456_3777c1b5f242d5c766e9afeb4b6c6354.pdf |
| work_keys_str_mv | AT alexandernee hybridlatticeboltzmannschemeforconductiveconvectiveradiativeheattransfer |