A Note on the Steady Navier–Stokes Equations Derived from an ES–BGK Model for a Polyatomic Gas
The two-temperature Navier–Stokes equations derived from an ellipsoidal Bhatnagar-Gross-Krook (ES-BGK) model for a polyatomic gas (<i>Phys. Rev. E</i><b>102</b>, 023104 (2020)) are considered in regimes where bulk viscosity is much greater than the shear viscosity. Possible e...
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| Format: | Article |
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MDPI AG
2021-01-01
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| Series: | Fluids |
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| Online Access: | https://www.mdpi.com/2311-5521/6/1/32 |
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| author | Kazuo Aoki Marzia Bisi Maria Groppi Shingo Kosuge |
| author_facet | Kazuo Aoki Marzia Bisi Maria Groppi Shingo Kosuge |
| author_sort | Kazuo Aoki |
| collection | DOAJ |
| description | The two-temperature Navier–Stokes equations derived from an ellipsoidal Bhatnagar-Gross-Krook (ES-BGK) model for a polyatomic gas (<i>Phys. Rev. E</i><b>102</b>, 023104 (2020)) are considered in regimes where bulk viscosity is much greater than the shear viscosity. Possible existence of a shock-wave solution for the steady version of these hydrodynamic equations is investigated resorting to the qualitative theory of dynamical systems. Stability properties of upstream and downstream equilibria are discussed for varying parameters. |
| first_indexed | 2024-03-09T05:31:52Z |
| format | Article |
| id | doaj.art-0338814e280949cea7d094839d7c2f4e |
| institution | Directory Open Access Journal |
| issn | 2311-5521 |
| language | English |
| last_indexed | 2024-03-09T05:31:52Z |
| publishDate | 2021-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fluids |
| spelling | doaj.art-0338814e280949cea7d094839d7c2f4e2023-12-03T12:31:21ZengMDPI AGFluids2311-55212021-01-01613210.3390/fluids6010032A Note on the Steady Navier–Stokes Equations Derived from an ES–BGK Model for a Polyatomic GasKazuo Aoki0Marzia Bisi1Maria Groppi2Shingo Kosuge3Department of Mathematics, National Cheng Kung University, Tainan 70101, TaiwanDepartment of Mathematical, Physical and Computer Sciences, University of Parma, 43124 Parma, ItalyDepartment of Mathematical, Physical and Computer Sciences, University of Parma, 43124 Parma, ItalyInstitute for Liberal Arts and Sciences, Kyoto University, Kyoto 606-8501, JapanThe two-temperature Navier–Stokes equations derived from an ellipsoidal Bhatnagar-Gross-Krook (ES-BGK) model for a polyatomic gas (<i>Phys. Rev. E</i><b>102</b>, 023104 (2020)) are considered in regimes where bulk viscosity is much greater than the shear viscosity. Possible existence of a shock-wave solution for the steady version of these hydrodynamic equations is investigated resorting to the qualitative theory of dynamical systems. Stability properties of upstream and downstream equilibria are discussed for varying parameters.https://www.mdpi.com/2311-5521/6/1/32Navier–Stokes equationsshock-wave solutionspolyatomic gases |
| spellingShingle | Kazuo Aoki Marzia Bisi Maria Groppi Shingo Kosuge A Note on the Steady Navier–Stokes Equations Derived from an ES–BGK Model for a Polyatomic Gas Fluids Navier–Stokes equations shock-wave solutions polyatomic gases |
| title | A Note on the Steady Navier–Stokes Equations Derived from an ES–BGK Model for a Polyatomic Gas |
| title_full | A Note on the Steady Navier–Stokes Equations Derived from an ES–BGK Model for a Polyatomic Gas |
| title_fullStr | A Note on the Steady Navier–Stokes Equations Derived from an ES–BGK Model for a Polyatomic Gas |
| title_full_unstemmed | A Note on the Steady Navier–Stokes Equations Derived from an ES–BGK Model for a Polyatomic Gas |
| title_short | A Note on the Steady Navier–Stokes Equations Derived from an ES–BGK Model for a Polyatomic Gas |
| title_sort | note on the steady navier stokes equations derived from an es bgk model for a polyatomic gas |
| topic | Navier–Stokes equations shock-wave solutions polyatomic gases |
| url | https://www.mdpi.com/2311-5521/6/1/32 |
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