Article
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On the Reynolds-Averaged Navier-Stokes Equations
Version 1
: Received: 30 June 2019 / Approved: 2 July 2019 / Online: 2 July 2019 (09:53:19 CEST)
How to cite: Sun, B. On the Reynolds-Averaged Navier-Stokes Equations. Preprints 2019, 2019070038. https://doi.org/10.20944/preprints201907.0038.v1 Sun, B. On the Reynolds-Averaged Navier-Stokes Equations. Preprints 2019, 2019070038. https://doi.org/10.20944/preprints201907.0038.v1
Abstract
This paper attempts to clarify an long-standing issue about the number of unknowns in the Reynolds-Averaged Navier-Stokes equations (RANS). This study shows that all perspectives regarding the numbers of unknowns in the RANS stem from the misinterpretation of the Reynolds stress tensor. The current literature consider that the Reynolds stress tensor has six unknown components; however, this study shows that the Reynolds stress tensor actually has only three unknown components, namely the three components of fluctuation velocity. This understanding might shed a light to understand the well-known closure problem of turbulence.
Keywords
turbulence; the Reynolds stress tensor; turbulence closure problem
Subject
Physical Sciences, Fluids and Plasmas Physics
Copyright: 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.
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