Heat transfer in a dense gas between two parallel plates
Time-dependent heat transfer in a dense gas between two parallel plates, which is initiated by an abrupt change in temperature of one plate, is numerically investigated on the basis of the Enskog equation under the diffuse reflection boundary condition. Numerical computation is carried out by a fini...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIP Publishing LLC
2022-05-01
|
| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/5.0091390 |
| _version_ | 1828515226443579392 |
|---|---|
| author | Masanari Hattori Soichi Tanaka Shigeru Takata |
| author_facet | Masanari Hattori Soichi Tanaka Shigeru Takata |
| author_sort | Masanari Hattori |
| collection | DOAJ |
| description | Time-dependent heat transfer in a dense gas between two parallel plates, which is initiated by an abrupt change in temperature of one plate, is numerically investigated on the basis of the Enskog equation under the diffuse reflection boundary condition. Numerical computation is carried out by a finite-difference scheme combined with the Fourier spectral method for the efficient computation of the collision term of the Enskog equation. As a result, macroscopic quantities of the gas, such as heat flux and temperature, are obtained for various Knudsen numbers and ratios of the molecular diameter to the distance between plates. Compared to the case of an ideal gas, the heat flux in the stationary state is enhanced due to an effect of the finite size of molecules for not only small but also intermediate Knudsen numbers. The results imply that the finite-size effect also affects the propagation of disturbances in the initial stage, particularly for small Knudsen numbers. |
| first_indexed | 2024-12-11T18:10:24Z |
| format | Article |
| id | doaj.art-0f95dc9d898a4cbf9449f1f247dade43 |
| institution | Directory Open Access Journal |
| issn | 2158-3226 |
| language | English |
| last_indexed | 2024-12-11T18:10:24Z |
| publishDate | 2022-05-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj.art-0f95dc9d898a4cbf9449f1f247dade432022-12-22T00:55:35ZengAIP Publishing LLCAIP Advances2158-32262022-05-01125055220055220-810.1063/5.0091390Heat transfer in a dense gas between two parallel platesMasanari Hattori0Soichi Tanaka1Shigeru Takata2Department of Aeronautics and Astronautics, Graduate School of Engineering, Kyoto University, Kyoto 615-8540, JapanDepartment of Aeronautics and Astronautics, Graduate School of Engineering, Kyoto University, Kyoto 615-8540, JapanDepartment of Aeronautics and Astronautics, Graduate School of Engineering, Kyoto University, Kyoto 615-8540, JapanTime-dependent heat transfer in a dense gas between two parallel plates, which is initiated by an abrupt change in temperature of one plate, is numerically investigated on the basis of the Enskog equation under the diffuse reflection boundary condition. Numerical computation is carried out by a finite-difference scheme combined with the Fourier spectral method for the efficient computation of the collision term of the Enskog equation. As a result, macroscopic quantities of the gas, such as heat flux and temperature, are obtained for various Knudsen numbers and ratios of the molecular diameter to the distance between plates. Compared to the case of an ideal gas, the heat flux in the stationary state is enhanced due to an effect of the finite size of molecules for not only small but also intermediate Knudsen numbers. The results imply that the finite-size effect also affects the propagation of disturbances in the initial stage, particularly for small Knudsen numbers.http://dx.doi.org/10.1063/5.0091390 |
| spellingShingle | Masanari Hattori Soichi Tanaka Shigeru Takata Heat transfer in a dense gas between two parallel plates AIP Advances |
| title | Heat transfer in a dense gas between two parallel plates |
| title_full | Heat transfer in a dense gas between two parallel plates |
| title_fullStr | Heat transfer in a dense gas between two parallel plates |
| title_full_unstemmed | Heat transfer in a dense gas between two parallel plates |
| title_short | Heat transfer in a dense gas between two parallel plates |
| title_sort | heat transfer in a dense gas between two parallel plates |
| url | http://dx.doi.org/10.1063/5.0091390 |
| work_keys_str_mv | AT masanarihattori heattransferinadensegasbetweentwoparallelplates AT soichitanaka heattransferinadensegasbetweentwoparallelplates AT shigerutakata heattransferinadensegasbetweentwoparallelplates |