Preprint Article Version 2 This version is not peer-reviewed

An Intrinsic Formulation of Incompressible Navier-Stokes Turbulent Flow

Version 1 : Received: 3 August 2018 / Approved: 3 August 2018 / Online: 3 August 2018 (15:44:50 CEST)
Version 2 : Received: 3 October 2018 / Approved: 4 October 2018 / Online: 4 October 2018 (14:43:09 CEST)
Version 3 : Received: 1 July 2019 / Approved: 9 July 2019 / Online: 9 July 2019 (05:00:29 CEST)

How to cite: Sun, B. An Intrinsic Formulation of Incompressible Navier-Stokes Turbulent Flow. Preprints 2018, 2018080071 (doi: 10.20944/preprints201808.0071.v2). Sun, B. An Intrinsic Formulation of Incompressible Navier-Stokes Turbulent Flow. Preprints 2018, 2018080071 (doi: 10.20944/preprints201808.0071.v2).

Abstract

This paper proposed an explicit and simple representation of velocity fluctuation and the Reynolds stress tensor in terms of the mean velocity field. The proposed turbulence equations are closed. The proposed formulations reveal that the mean vorticity is the key source of producing turbulence. It is found that there are no velocity fluctuation and turbulence if there were no vorticity. As a natural consequence, the laminar- turbulence transition condition was obtained in a rational way.

Subject Areas

Turbulence, mean velocity, uctuation velocity, the Reynolds stress tensor, vorticity, turbulence closure problem

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