Numerical Study of the Effect of Viscous Heat Dissipation and Compression Work on Microscale Rayleigh–Bénard Convection Based on a Coupled Thermal Lattice Boltzmann Method
In the present work, an improved double-distribution-function thermal lattice Boltzmann method (LBM) is developed for analyzing the effect of viscous heat dissipation and compression work on microscale Rayleigh–Bénard convection. In the proposed method a temperature change is introduced into the LB...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MULTIPHYSICS
2018-06-01
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| Series: | International Journal of Multiphysics |
| Online Access: | http://journal.multiphysics.org/index.php/IJM/article/view/380 |
| _version_ | 1797721928767635456 |
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| author | X Ren F Liu S Wang S Wei |
| author_facet | X Ren F Liu S Wang S Wei |
| author_sort | X Ren |
| collection | DOAJ |
| description | In the present work, an improved double-distribution-function thermal lattice Boltzmann method (LBM) is developed for analyzing the effect of viscous heat dissipation and compression work on microscale Rayleigh–Bénard convection. In the proposed method a temperature change is introduced into the LB momentum equation in the form of a momentum source to realize the coupling between the momentum and the energy fields; two sets of evolution equations are established, one for the mass and momentum conservation and the other for the total energy that incorporates viscous heat dissipation and compression work. Numerical results show that the effect of viscous heat dissipation and compression work on the temperature distribution, flow distribution, and average Nusselt number at some Rayleigh numbers and aspect ratios is significant. |
| first_indexed | 2024-03-12T09:40:50Z |
| format | Article |
| id | doaj.art-7d2e67900f394886a4e0e2327bfb68be |
| institution | Directory Open Access Journal |
| issn | 1750-9548 2048-3961 |
| language | English |
| last_indexed | 2024-03-12T09:40:50Z |
| publishDate | 2018-06-01 |
| publisher | MULTIPHYSICS |
| record_format | Article |
| series | International Journal of Multiphysics |
| spelling | doaj.art-7d2e67900f394886a4e0e2327bfb68be2023-09-02T13:16:49ZengMULTIPHYSICSInternational Journal of Multiphysics1750-95482048-39612018-06-0112210.21152/1750-9548.12.2.101357Numerical Study of the Effect of Viscous Heat Dissipation and Compression Work on Microscale Rayleigh–Bénard Convection Based on a Coupled Thermal Lattice Boltzmann MethodX Ren0F Liu1S Wang2S Wei3School of Control Science and Engineering, Shandong University, ChinaSchool of Control Science and Engineering, Shandong University, ChinaSchool of Civil Engineering, Shandong University, ChinaSchool of Control Science and Engineering, Shandong University,ChinaIn the present work, an improved double-distribution-function thermal lattice Boltzmann method (LBM) is developed for analyzing the effect of viscous heat dissipation and compression work on microscale Rayleigh–Bénard convection. In the proposed method a temperature change is introduced into the LB momentum equation in the form of a momentum source to realize the coupling between the momentum and the energy fields; two sets of evolution equations are established, one for the mass and momentum conservation and the other for the total energy that incorporates viscous heat dissipation and compression work. Numerical results show that the effect of viscous heat dissipation and compression work on the temperature distribution, flow distribution, and average Nusselt number at some Rayleigh numbers and aspect ratios is significant.http://journal.multiphysics.org/index.php/IJM/article/view/380 |
| spellingShingle | X Ren F Liu S Wang S Wei Numerical Study of the Effect of Viscous Heat Dissipation and Compression Work on Microscale Rayleigh–Bénard Convection Based on a Coupled Thermal Lattice Boltzmann Method International Journal of Multiphysics |
| title | Numerical Study of the Effect of Viscous Heat Dissipation and Compression Work on Microscale Rayleigh–Bénard Convection Based on a Coupled Thermal Lattice Boltzmann Method |
| title_full | Numerical Study of the Effect of Viscous Heat Dissipation and Compression Work on Microscale Rayleigh–Bénard Convection Based on a Coupled Thermal Lattice Boltzmann Method |
| title_fullStr | Numerical Study of the Effect of Viscous Heat Dissipation and Compression Work on Microscale Rayleigh–Bénard Convection Based on a Coupled Thermal Lattice Boltzmann Method |
| title_full_unstemmed | Numerical Study of the Effect of Viscous Heat Dissipation and Compression Work on Microscale Rayleigh–Bénard Convection Based on a Coupled Thermal Lattice Boltzmann Method |
| title_short | Numerical Study of the Effect of Viscous Heat Dissipation and Compression Work on Microscale Rayleigh–Bénard Convection Based on a Coupled Thermal Lattice Boltzmann Method |
| title_sort | numerical study of the effect of viscous heat dissipation and compression work on microscale rayleigh benard convection based on a coupled thermal lattice boltzmann method |
| url | http://journal.multiphysics.org/index.php/IJM/article/view/380 |
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