Preprint Article Version 2 This version is not peer-reviewed

On closure problem of incompressible turbulent flow

Version 1 : Received: 31 July 2018 / Approved: 31 July 2018 / Online: 31 July 2018 (12:37:13 CEST)
Version 2 : Received: 22 September 2018 / Approved: 24 September 2018 / Online: 24 September 2018 (13:03:40 CEST)

How to cite: SUN, B. On closure problem of incompressible turbulent flow. Preprints 2018, 2018070622 (doi: 10.20944/preprints201807.0622.v2). SUN, B. On closure problem of incompressible turbulent flow. Preprints 2018, 2018070622 (doi: 10.20944/preprints201807.0622.v2).

Abstract

This paper attempts to clarify an issue regarding the lasting unsolved problem of turbulence, namely the closure problem. This study shows that all perspectives regarding the numbers of un- known quantities in the Reynolds turbulence equations stem from the misunderstandings of physics of the Reynolds stress tensor. The current literatures have a consensus that the Reynolds stress tensor has six unknowns; however, this study shows that the Reynolds stress tensor actually has only three ones, namely the three components of fluctuation velocity. With this new understanding, the closed turbulence equations for incompressible flows are proposed.

Subject Areas

Turbulence, the Reynolds stress tensor, turbulence closure problem

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