• Corpus ID: 117125527

Secret Hidden in Navier-Stokes Equations: Singularity and Criterion of Turbulent Transition

@article{Dou2014SecretHI,
  title={Secret Hidden in Navier-Stokes Equations: Singularity and Criterion of Turbulent Transition},
  author={Hua-Shu Dou},
  journal={arXiv: Fluid Dynamics},
  year={2014}
}
  • H. Dou
  • Published 30 August 2014
  • Physics
  • arXiv: Fluid Dynamics
A new formulation of the Navier-Stokes equation, in terms of the gradient of the total mechanical energy, is derived for the time-averaged flows, and the singular point possibly existing in the Navier-Stokes equation is exactly found. Transition of a laminar flow to turbulence must be implemented via this singular point. For pressure driven flows, this singular point corresponds to the inflection point on the velocity profile. It is found that the stability of a flow depends on the direction of… 

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