Preprint Article Version 1 This version is not peer-reviewed

A Novel Simplification of the Reynolds-Chou-Navier-Stokes Turbulence Equations of Incompressible Flow

Version 1 : Received: 30 June 2018 / Approved: 3 July 2018 / Online: 3 July 2018 (08:39:49 CEST)

How to cite: Sun, B. A Novel Simplification of the Reynolds-Chou-Navier-Stokes Turbulence Equations of Incompressible Flow. Preprints 2018, 2018070030 (doi: 10.20944/preprints201807.0030.v1). Sun, B. A Novel Simplification of the Reynolds-Chou-Navier-Stokes Turbulence Equations of Incompressible Flow. Preprints 2018, 2018070030 (doi: 10.20944/preprints201807.0030.v1).

Abstract

Based on author's previous work [Sun, B. The Reynolds Navier-Stokes Turbulence Equations of Incompressible Flow Are Closed Rather Than Unclosed. Preprints 2018, 2018060461 (doi: 10.20944/preprints201806.0461.v1)], this paper proposed an explicit representation of velocity fluctuation and formulated the Reynolds stress tensor in terms of the mean velocity field. The proposed closed Reynolds Navier-Stokes turbulence formulations reveal that the mean vorticity is the key source of producing turbulence.

Subject Areas

turbulence; mean velocity; fluctuation velocity; the Reynolds stress tensor; vorticity; turbulence closure problem

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