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Refinement of a Previous Hypothesis of the Lyapunov Analysis of Isotropic Turbulence
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-31
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Abstract EN
The purpose of this paper is to improve a hypothesis of the previous work of N.
de Divitiis (2011) dealing with the finite-scale Lyapunov analysis of isotropic turbulence.
There, the analytical expression of the structure function of the longitudinal velocity difference Δur is derived through a statistical analysis of the Fourier transformed Navier-Stokes equations and by means of considerations regarding the scales of the velocity fluctuations, which arise from the Kolmogorov theory.
Due to these latter considerations, this Lyapunov analysis seems to need some of the results of the Kolmogorov theory.
This work proposes a more rigorous demonstration which leads to the same structure function, without using the Kolmogorov scale.
This proof assumes that pair and triple longitudinal correlations are sufficient to determine the statistics of Δur and adopts a reasonable canonical decomposition of the velocity difference in terms of proper stochastic variables which are adequate to describe the mechanism of kinetic energy cascade.
American Psychological Association (APA)
de Divitiis, Nicola. 2013. Refinement of a Previous Hypothesis of the Lyapunov Analysis of Isotropic Turbulence. Journal of Engineering،Vol. 2013, no. 2013, pp.1-4.
https://search.emarefa.net/detail/BIM-488498
Modern Language Association (MLA)
de Divitiis, Nicola. Refinement of a Previous Hypothesis of the Lyapunov Analysis of Isotropic Turbulence. Journal of Engineering No. 2013 (2013), pp.1-4.
https://search.emarefa.net/detail/BIM-488498
American Medical Association (AMA)
de Divitiis, Nicola. Refinement of a Previous Hypothesis of the Lyapunov Analysis of Isotropic Turbulence. Journal of Engineering. 2013. Vol. 2013, no. 2013, pp.1-4.
https://search.emarefa.net/detail/BIM-488498
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-488498