Assessing Local Turbulence Strength from a Time Series | Zendy

Mayer Humi | Zendy

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Assessing Local Turbulence Strength from a Time Series

Author(s) -

Mayer Humi

Publication year - 2010

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2010/316841

Subject(s) - turbulence , series (stratigraphy) , exponent , chaotic , invariant (physics) , flow (mathematics) , mathematics , scale invariance , constant (computer programming) , statistical physics , conjecture , scale (ratio) , plane (geometry) , mathematical analysis , physics , mechanics , geometry , computer science , pure mathematics , geology , statistics , mathematical physics , paleontology , linguistics , philosophy , quantum mechanics , artificial intelligence , programming language

We study the possible link between “local turbulence strength” in a flow which is represented by a finite time series and a “chaotic invariant”, namely, the leading Lyaponuv exponent that characterizes this series. To validate a conjecture about this link, we analyze several time series of measurements taken by a plane flying at constant height in the upper troposphere. For each of these time series we estimate the leading Lyaponuv exponent which we then correlate with the structure constants for the temperature. In addition, we introduce a quantitative technique to educe the scale contents of the flow and a methodology to validate its spectrum

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