A Kinetic Perspective on k - ϵ Turbulence Model and Corresponding Entropy Production
In this paper, we present an alternative derivation of the entropy production in turbulent flows, based on a formal analogy with the kinetic theory of rarefied gas. This analogy allows for proving that the celebrated k - ϵ model for turbulent flows is nothing more than a set of coupled BGK (Bhatnaga...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2016-03-01
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| Series: | Entropy |
| Subjects: | |
| Online Access: | http://www.mdpi.com/1099-4300/18/4/121 |
| _version_ | 1828154087076528128 |
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| author | Pietro Asinari Matteo Fasano Eliodoro Chiavazzo |
| author_facet | Pietro Asinari Matteo Fasano Eliodoro Chiavazzo |
| author_sort | Pietro Asinari |
| collection | DOAJ |
| description | In this paper, we present an alternative derivation of the entropy production in turbulent flows, based on a formal analogy with the kinetic theory of rarefied gas. This analogy allows for proving that the celebrated k - ϵ model for turbulent flows is nothing more than a set of coupled BGK (Bhatnagar–Gross–Krook)-like equations with a proper forcing. This opens a novel perspective on this model, which may help in sorting out the heuristic assumptions essential for its derivation, such as the balance between turbulent kinetic energy production and dissipation. The entropy production is an essential condition for the design and optimization of devices where turbulent flows are involved. |
| first_indexed | 2024-04-11T22:34:13Z |
| format | Article |
| id | doaj.art-d5194149719a406c893b767e879e9bd8 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-11T22:34:13Z |
| publishDate | 2016-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-d5194149719a406c893b767e879e9bd82022-12-22T03:59:15ZengMDPI AGEntropy1099-43002016-03-0118412110.3390/e18040121e18040121A Kinetic Perspective on k - ϵ Turbulence Model and Corresponding Entropy ProductionPietro Asinari0Matteo Fasano1Eliodoro Chiavazzo2Department of Energy, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, ItalyDepartment of Energy, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, ItalyDepartment of Energy, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, ItalyIn this paper, we present an alternative derivation of the entropy production in turbulent flows, based on a formal analogy with the kinetic theory of rarefied gas. This analogy allows for proving that the celebrated k - ϵ model for turbulent flows is nothing more than a set of coupled BGK (Bhatnagar–Gross–Krook)-like equations with a proper forcing. This opens a novel perspective on this model, which may help in sorting out the heuristic assumptions essential for its derivation, such as the balance between turbulent kinetic energy production and dissipation. The entropy production is an essential condition for the design and optimization of devices where turbulent flows are involved.http://www.mdpi.com/1099-4300/18/4/121thermodynamics of irreversible processes (TIP)turbulence modelingReynolds averagingentropy productionsecond law |
| spellingShingle | Pietro Asinari Matteo Fasano Eliodoro Chiavazzo A Kinetic Perspective on k - ϵ Turbulence Model and Corresponding Entropy Production Entropy thermodynamics of irreversible processes (TIP) turbulence modeling Reynolds averaging entropy production second law |
| title | A Kinetic Perspective on k - ϵ Turbulence Model and Corresponding Entropy Production |
| title_full | A Kinetic Perspective on k - ϵ Turbulence Model and Corresponding Entropy Production |
| title_fullStr | A Kinetic Perspective on k - ϵ Turbulence Model and Corresponding Entropy Production |
| title_full_unstemmed | A Kinetic Perspective on k - ϵ Turbulence Model and Corresponding Entropy Production |
| title_short | A Kinetic Perspective on k - ϵ Turbulence Model and Corresponding Entropy Production |
| title_sort | kinetic perspective on k ϵ turbulence model and corresponding entropy production |
| topic | thermodynamics of irreversible processes (TIP) turbulence modeling Reynolds averaging entropy production second law |
| url | http://www.mdpi.com/1099-4300/18/4/121 |
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