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Entropy 2016, 18(4), 121; doi:10.3390/e18040121

A Kinetic Perspective on k‒ε Turbulence Model and Corresponding Entropy Production

Department of Energy, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
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Academic Editor: Kevin H. Knuth
Received: 11 February 2016 / Revised: 24 March 2016 / Accepted: 28 March 2016 / Published: 31 March 2016
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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 for proving that the celebrated \(k - \epsilon\) 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. View Full-Text
Keywords: thermodynamics of irreversible processes (TIP); turbulence modeling; Reynolds averaging; entropy production; second law thermodynamics of irreversible processes (TIP); turbulence modeling; Reynolds averaging; entropy production; second law
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Asinari, P.; Fasano, M.; Chiavazzo, E. A Kinetic Perspective on k‒ε Turbulence Model and Corresponding Entropy Production. Entropy 2016, 18, 121.

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