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 proving that the celebrated k-epsilon model for turbulent flows is nothing more than a set of coupled BGK-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.

A kinetic perspective on k-epsilon turbulence model and corresponding entropy production / Asinari, Pietro; Fasano, Matteo; Chiavazzo, Eliodoro. - In: ENTROPY. - ISSN 1099-4300. - ELETTRONICO. - 18:4(2016), pp. 121-134. [10.3390/e18040121]

A kinetic perspective on k-epsilon turbulence model and corresponding entropy production

ASINARI, PIETRO;FASANO, MATTEO;CHIAVAZZO, ELIODORO
2016

Abstract

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 proving that the celebrated k-epsilon model for turbulent flows is nothing more than a set of coupled BGK-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.
2016
File in questo prodotto:
File Dimensione Formato  
Turbulence_v6.pdf

accesso aperto

Descrizione: pre-print
Tipologia: 1. Preprint / submitted version [pre- review]
Licenza: Creative commons
Dimensione 757.16 kB
Formato Adobe PDF
757.16 kB Adobe PDF Visualizza/Apri
entropy-18-00121.pdf

accesso aperto

Descrizione: A kinetic perspective on k-epsilon turbulence model and corresponding entropy production
Tipologia: 2. Post-print / Author's Accepted Manuscript
Licenza: Creative commons
Dimensione 749.96 kB
Formato Adobe PDF
749.96 kB Adobe PDF Visualizza/Apri
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2638624
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo