### Abstract

Measurements have been made of the probability density function (PDF) of velocity increments u(r) for a wide range of separation distances r. Stretched exponentials provide good working approximations to the tails of the PDF. The stretching exponent varies monotonically from 0.5 for r in the dissipation range to 2 for r in the integral scale range. Theoretical forms based on multifractal notions of turbulence agree well with the measured PDFs. When the largest scales in the velocity u are filtered out, the PDF of u(r) becomes symmetric and, for large r, close to exponential.

Original language | English (US) |
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Pages (from-to) | 2766-2769 |

Number of pages | 4 |

Journal | Physical Review Letters |

Volume | 68 |

Issue number | 18 |

DOIs | |

State | Published - 1992 |

### ASJC Scopus subject areas

- Physics and Astronomy(all)

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## Cite this

Kailasnath, P., Sreenivasan, K. R., & Stolovitzky, G. (1992). Probability density of velocity increments in turbulent flows.

*Physical Review Letters*,*68*(18), 2766-2769. https://doi.org/10.1103/PhysRevLett.68.2766