### Abstract

A tentative suggestion is made that the flatness of the velocity derivative could reach an infinite value at finite (though very largo) Reynolds number, with possible implications for the singularities of the Navier-Stokes equations. A direct test of this suggestion requires measurements at Reynolds numbers presently outside the experimental capacity, so an alternative suggestion that can be tested at accessible Reynolds numbers is also made.

Original language | English (US) |
---|---|

Pages (from-to) | 939-945 |

Number of pages | 7 |

Journal | Pramana - Journal of Physics |

Volume | 64 |

Issue number | 6 SPEC. ISS. |

State | Published - Jun 2005 |

### Fingerprint

### Keywords

- Derivative flatness
- High-Reynolds-number turbulence
- Navler-Stokes singularities

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Pramana - Journal of Physics*,

*64*(6 SPEC. ISS.), 939-945.

**Does the flatness of the velocity derivative blow up at a finite Reynolds number?** / Sreenivasan, K. R.; Bershadskii, A.

Research output: Contribution to journal › Article

*Pramana - Journal of Physics*, vol. 64, no. 6 SPEC. ISS., pp. 939-945.

}

TY - JOUR

T1 - Does the flatness of the velocity derivative blow up at a finite Reynolds number?

AU - Sreenivasan, K. R.

AU - Bershadskii, A.

PY - 2005/6

Y1 - 2005/6

N2 - A tentative suggestion is made that the flatness of the velocity derivative could reach an infinite value at finite (though very largo) Reynolds number, with possible implications for the singularities of the Navier-Stokes equations. A direct test of this suggestion requires measurements at Reynolds numbers presently outside the experimental capacity, so an alternative suggestion that can be tested at accessible Reynolds numbers is also made.

AB - A tentative suggestion is made that the flatness of the velocity derivative could reach an infinite value at finite (though very largo) Reynolds number, with possible implications for the singularities of the Navier-Stokes equations. A direct test of this suggestion requires measurements at Reynolds numbers presently outside the experimental capacity, so an alternative suggestion that can be tested at accessible Reynolds numbers is also made.

KW - Derivative flatness

KW - High-Reynolds-number turbulence

KW - Navler-Stokes singularities

UR - http://www.scopus.com/inward/record.url?scp=21544467577&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=21544467577&partnerID=8YFLogxK

M3 - Article

VL - 64

SP - 939

EP - 945

JO - Pramana - Journal of Physics

JF - Pramana - Journal of Physics

SN - 0304-4289

IS - 6 SPEC. ISS.

ER -