Self-similarity and probability distributions of turbulent intermittency

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Abstract
Turbulent intermittency is analyzed in terms of statistics of breakdown coefficients, an alternative to the multifractal formalism. The processing of experimental data at a very large Reynolds number shows a persistent influence of the local Reynolds number up to a sufficiently large value. The data also indicate that the breakdown process is nonhomogeneous. Scale similarity is approximately valid, but, in the present data, a logarithmic correction is depicted. A probability distribution inside the family of infinitely divisible distributions is presented that compares well with experimental data. © 1996 The American Physical Society.