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Structure Functions in Complex Flows
Authors:O.B. Mahjoub   J.M. Redondo  A. Babiano
Affiliation:(1) Departamento Física Aplicada, Universidad Politècnica de Catalunya, Barcelona, Spain;(2) LMD, Ecole Normale Supérieure, 24 rue Lhomond, F-75005 Paris, France
Abstract:The turbulence in the ocean and atmosphere is most of the time non-homogeneous in nature. These spatial changes could affect the structure of the turbulence. In this work a classification is proposed to determine the intermittency and mixing ability. The variation of the structure functions and the scaling exponent in decaying non-homogeneous turbulence produced by a grid and by a jet is measured with a sonic velocimeter SONTEK3-D. We use Extended Self Similarity (ESS) to obtain better estimates of the scaling exponents of the structure functions of order up to the 6th. We study the variation of the absolute scaling exponents zetap and relative scaling exponents ¯zetap as a function of distance from the source of turbulence. In most cases, the absolute scaling exponent zeta3 is shown to vary as function of the separation distance l. On the other hand the relative scaling exponents ¯zetap depend on the location of the flow and in most cases the deviations from the Kolmogorov 1941 scaling are related to the intermittency.
Keywords:intermittency  scaling laws  non-homogeneous turbulence
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