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Efficient Generation of High-Reynolds-Number Homogeneous Turbulence by Disturbances Composed of Two Frequency Components

[+] Author Affiliations
Kotaro Takamure, Shigehira Ozono

University of Miyazaki, Miyazaki, Japan

Paper No. AJKFluids2015-25482, pp. V01AT25A007; 7 pages
  • ASME/JSME/KSME 2015 Joint Fluids Engineering Conference
  • Volume 1A: Symposia, Part 2
  • Seoul, South Korea, July 26–31, 2015
  • Conference Sponsors: Fluids Engineering Division
  • ISBN: 978-0-7918-5721-3
  • Copyright © 2015 by JSME


We attempted to determine the number of frequency components required for efficient turbulence generation using a multi-fan type wind tunnel where 99 fans were driven to generate turbulence. In a previous study, a random-phase mode was applied, where an input signal composed of forty frequency components was fed to each fan with quasi-random phases. Using this driving mode, we achieved high-Reynolds-number homogeneous turbulence of Reλ ∼ 750 in a relatively short distance. In the present study, in order to understand the elementary process of the evolution, one single frequency or two frequencies were used, instead of forty. When using the single frequency, initial dominant spectral peaks remain at lower frequencies over the tunnel length. In the case of two frequencies, f1 and f2 (f1 = n1f0 and f2 = n2f0; n1 < n2), where n1 and n2 are integers, and f0 is defined as the reciprocal of a basic input data period, the turbulence characteristics depend on the relation between n1 and n2. When n1 and n2 are not coprime (i.e., n2 can be divided by n1), dominant spectral peaks remain over the tunnel length as in the case of using a single frequency, but when coprime (i.e., n2 cannot be divided by n1), the spectral shape becomes relatively smooth with the initial dominant peaks disappearing. However, it was found that the development of turbulence is much slower for the two-frequency case than for the forty-frequency case.

Copyright © 2015 by JSME
Topics: Turbulence



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