Statistical laws of random strained vortices in turbulence

Nozomu Hatakeyama, Tsutomu Kambe

Research output: Contribution to journalArticlepeer-review

43 Citations (Scopus)


Statistical properties of random distribution of strained vortices (Burgers’ vortices) in turbulence are studied, and the scaling behavior of structure functions is investigated. It is found within the scale range of interest (corresponding to the inertial range) that the third-order structure function is negative and the scaling exponent is nearly unity in accordance with Kolmogorov’s four-fifths law. The inertial-range scaling exponents are estimated up to the 25th order, which are in good agreement with those obtained from experiments and direct numerical simulations once the probability distribution of the vortex strength is taken into account.

Original languageEnglish
Pages (from-to)1257-1260
Number of pages4
JournalPhysical Review Letters
Issue number7
Publication statusPublished - 1997 Jan 1


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