Golden Ratio Phenomenon of Random Data Obeying von Karman Spectrum
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-10-02
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
von Karman originally deduced his spectrum of wind speed fluctuation based on the Stokes-Navier equation.
Taking into account, the practical issues of measurement and/or computation errors, we suggest that the spectrum can be described from the point of view of the golden ratio.
We call it the golden ratio phenomenon of the von Karman spectrum.
To depict that phenomenon, we derive the von Karman spectrum based on fractional differential equations, which bridges the golden ratio to the von Karman spectrum and consequently provides a new outlook of random data following the von Karman spectrum in turbulence.
In addition, we express the fractal dimension, which is a measure of local self-similarity, using the golden ratio, of random data governed by the von Karman spectrum.
American Psychological Association (APA)
Li, Ming& Zhao, Wei. 2013. Golden Ratio Phenomenon of Random Data Obeying von Karman Spectrum. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-1008492
Modern Language Association (MLA)
Li, Ming& Zhao, Wei. Golden Ratio Phenomenon of Random Data Obeying von Karman Spectrum. Mathematical Problems in Engineering No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-1008492
American Medical Association (AMA)
Li, Ming& Zhao, Wei. Golden Ratio Phenomenon of Random Data Obeying von Karman Spectrum. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-1008492
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1008492