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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. https://doi.org/10.20944/preprints201807.0030.v1 Sun, B. A Novel Simplification of the Reynolds-Chou-Navier-Stokes Turbulence Equations of Incompressible Flow. Preprints 2018, 2018070030. https://doi.org/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.
Keywords
turbulence; mean velocity; fluctuation velocity; the Reynolds stress tensor; vorticity; 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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