Thermal gravity-driven convection of near-critical helium in enclosures
The results of numerical simulation of Rayleigh-Benard convection in ³He near the thermodynamic critical point are presented. The mathematical model including the full Navier-Stokes equations with two-scale splitting of the pressure and the van der Waals equation of state is applied. The known exper...
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| Veröffentlicht in: | Физика низких температур |
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| Datum: | 2003 |
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| Sprache: | Englisch |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2003
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/128869 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Thermal gravity-driven convection of near-critical helium in enclosures / V.I. Polezhaev E.B. Soboleva // Физика низких температур. — 2003. — Т. 29, № 6. — С. 648-652. — Бібліогр.: 16 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862722494292557824 |
|---|---|
| author | Polezhaev, E.B. Soboleva, V.I. |
| author_facet | Polezhaev, E.B. Soboleva, V.I. |
| citation_txt | Thermal gravity-driven convection of near-critical helium in enclosures / V.I. Polezhaev E.B. Soboleva // Физика низких температур. — 2003. — Т. 29, № 6. — С. 648-652. — Бібліогр.: 16 назв. — англ. |
| collection | DSpace DC |
| container_title | Физика низких температур |
| description | The results of numerical simulation of Rayleigh-Benard convection in ³He near the thermodynamic critical point are presented. The mathematical model including the full Navier-Stokes equations with two-scale splitting of the pressure and the van der Waals equation of state is applied. The known experimental data on ³He are used in simulations. On the basis of the calibration laws the "real" Rayleigh and Prandtl numbers are estimated. It is shown that one should agree these "real" criteria of similarity in the model and physical media to approach results of simulations to experiments. The Rayleigh number characterising the convection onset is defined from obtained numerical data. This number is shown to be in a good agreement with known experimental and theoretical values.
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| first_indexed | 2025-12-07T18:35:56Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-128869 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0132-6414 |
| language | English |
| last_indexed | 2025-12-07T18:35:56Z |
| publishDate | 2003 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Polezhaev, E.B. Soboleva, V.I. 2018-01-14T11:02:46Z 2018-01-14T11:02:46Z 2003 Thermal gravity-driven convection of near-critical helium in enclosures / V.I. Polezhaev E.B. Soboleva // Физика низких температур. — 2003. — Т. 29, № 6. — С. 648-652. — Бібліогр.: 16 назв. — англ. 0132-6414 PACS: 05.70.Ln https://nasplib.isofts.kiev.ua/handle/123456789/128869 The results of numerical simulation of Rayleigh-Benard convection in ³He near the thermodynamic critical point are presented. The mathematical model including the full Navier-Stokes equations with two-scale splitting of the pressure and the van der Waals equation of state is applied. The known experimental data on ³He are used in simulations. On the basis of the calibration laws the "real" Rayleigh and Prandtl numbers are estimated. It is shown that one should agree these "real" criteria of similarity in the model and physical media to approach results of simulations to experiments. The Rayleigh number characterising the convection onset is defined from obtained numerical data. This number is shown to be in a good agreement with known experimental and theoretical values. The authors gratefully acknowledge Prof. H. Meyer for providing them with the experimental data on the physical properties of ³He and for the careful correspondence. We also would like to thank Dr. A. Lednev for fruitful discussions. The work received financial support from the Russian Foundation for Basic Research (grant 03-01-00682). en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур 3-й Международный семинар по физике низких температур в условиях микрогравитации Thermal gravity-driven convection of near-critical helium in enclosures Article published earlier |
| spellingShingle | Thermal gravity-driven convection of near-critical helium in enclosures Polezhaev, E.B. Soboleva, V.I. 3-й Международный семинар по физике низких температур в условиях микрогравитации |
| title | Thermal gravity-driven convection of near-critical helium in enclosures |
| title_full | Thermal gravity-driven convection of near-critical helium in enclosures |
| title_fullStr | Thermal gravity-driven convection of near-critical helium in enclosures |
| title_full_unstemmed | Thermal gravity-driven convection of near-critical helium in enclosures |
| title_short | Thermal gravity-driven convection of near-critical helium in enclosures |
| title_sort | thermal gravity-driven convection of near-critical helium in enclosures |
| topic | 3-й Международный семинар по физике низких температур в условиях микрогравитации |
| topic_facet | 3-й Международный семинар по физике низких температур в условиях микрогравитации |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/128869 |
| work_keys_str_mv | AT polezhaeveb thermalgravitydrivenconvectionofnearcriticalheliuminenclosures AT sobolevavi thermalgravitydrivenconvectionofnearcriticalheliuminenclosures |