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A simplified \(k-\epsilon\) turbulence model

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Abstract

In this paper, we present a modification in the standard \(k-\epsilon\) turbulence model, together with a new equation to express \(\mu _t\) as a function of k and \(\epsilon\). In this simplified model, new values of the constants \(c_{\epsilon 1}\), \(c_{\epsilon 2}\) and \(\sigma _{\epsilon }\) are provided. Using this model, we find an algebraic equation to express the viscosity in the wall (\(\mu _w\)) so that the flow remains unchanged throughout the domain. Fitting the numerical solution, we find algebraic equations to approximate the k and \(\epsilon\) profiles. Using periodic boundary conditions to solve k and \(\epsilon\) equations, this model was applied to simulate the pollutant dispersion for the unstable Praire Grass experiments, obtaining a good agreement with the experimental data.

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Authors and Affiliations

  1. Institute of Mathematics, Statistics and Physics, FURG, Rio Grande, RS, Brazil- Campus Carreiros: Av. Itália km 8 Bairro Carreiros, Rio Grande, Brazil

    Darci Luiz Savicki, Antonio Goulart & Gabriel Zardo Becker

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  1. Darci Luiz Savicki
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  2. Antonio Goulart
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  3. Gabriel Zardo Becker
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Correspondence to Darci Luiz Savicki.

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Technical Editor: Daniel Onofre de Almeida Cruz.

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Savicki, D.L., Goulart, A. & Becker, G.Z. A simplified \(k-\epsilon\) turbulence model. J Braz. Soc. Mech. Sci. Eng. 43, 384 (2021). https://doi.org/10.1007/s40430-021-03084-4

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  • DOI: https://doi.org/10.1007/s40430-021-03084-4

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