On the asymptotic behaviour of intermittency exponents of turbulent palinstrophy

A. Tsinober; H. Vaisburd

doi:10.1016/S0375-9601(05)80006-4

On the asymptotic behaviour of intermittency exponents of turbulent palinstrophy

A. Tsinober^*
, H. Vaisburd

^*Corresponding author for this work

Fluid Mechanics and Heat Transfer

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

Abstract

The asymptotic behaviour of the generalized dimension D_∞ of the field of palinstrophy (curl ω)² is revisited for turbulent grid flow, boundary layer and turbulent jet. A "direct" method based on the evaluation of the scaling exponent of the integral M = ∫_Ω(r) g(x)dx in the regions of extreme values of M was used for obtaining the values of D_+∞ for the field of palinstrophy and D_-∞ for the field of enstrophy from experimental data. These values are in good agreement with those obtained using the method of moments/partition functions.

Original language	English
Pages (from-to)	293-296
Number of pages	4
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	197
Issue number	4
DOIs	https://doi.org/10.1016/S0375-9601(05)80006-4
State	Published - 30 Jan 1995

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N2 - The asymptotic behaviour of the generalized dimension D∞ of the field of palinstrophy (curl ω)2 is revisited for turbulent grid flow, boundary layer and turbulent jet. A "direct" method based on the evaluation of the scaling exponent of the integral M = ∫Ω(r) g(x)dx in the regions of extreme values of M was used for obtaining the values of D+∞ for the field of palinstrophy and D-∞ for the field of enstrophy from experimental data. These values are in good agreement with those obtained using the method of moments/partition functions.

AB - The asymptotic behaviour of the generalized dimension D∞ of the field of palinstrophy (curl ω)2 is revisited for turbulent grid flow, boundary layer and turbulent jet. A "direct" method based on the evaluation of the scaling exponent of the integral M = ∫Ω(r) g(x)dx in the regions of extreme values of M was used for obtaining the values of D+∞ for the field of palinstrophy and D-∞ for the field of enstrophy from experimental data. These values are in good agreement with those obtained using the method of moments/partition functions.

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On the asymptotic behaviour of intermittency exponents of turbulent palinstrophy

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