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Fractal properties of inertial-range turbulence with implications for aircraft response

Published online by Cambridge University Press:  04 July 2016

J. G. Jones ,
G. W. Foster  and
A. Haynes
J. G. Jones
Affiliation:
Royal Aerospace Establishment, Farnborough
G. W. Foster
Affiliation:
Royal Aerospace Establishment, Bedford
A. Haynes
Affiliation:
Royal Aerospace Establishment, Bedford
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Summary

Fractal geometry provides a method for modelling the scale dependence of fluctuations in atmospheric-turbulence velocity. In this paper the basic concepts are outlined and illustrated by a method of data analysis which, for a fractal process, displays measured probability distributions in scale-invariant form. To a first approximation the data exhibit statistical self-similarity, consistent with the classical theory of Kolmogorov. However, on more detailed analysis, the more intense fluctuations show systematic departures from self-similarity, consistent with recent theoretical estimates of the fractal dimension of the support of turbulence. Implications for aircraft gust response are discussed.

Type
Research Article
Information
The Aeronautical Journal , Volume 92 , Issue 918 , October 1988 , pp. 301 - 308
Copyright
Copyright © Royal Aeronautical Society 1988 

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