Startseite Technik Application of the Proper Orthogonal Decomposition Method in Analyzing Active Separation Control With Periodic Vibration Wall
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Application of the Proper Orthogonal Decomposition Method in Analyzing Active Separation Control With Periodic Vibration Wall

  • Jin-Chun Wang , Xin Fu EMAIL logo , Guo-Ping Huang , Shu-Li Hong und Yuan-Chi Zou
Veröffentlicht/Copyright: 27. September 2017
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Abstract

The proper orthogonal decomposition (POD) method is employed to analyze the unsteady flow control mechanism because it is a good approach to decouple the spatial and temporal structures of unsteady flow fields. The results showed that the main effect of the periodic excitation is reallocating the energy of each mode, and selectively strengthening or weakening certain modes. Under proper amplitude and frequency of periodic excitation, the energy in higher modes will be transferred to the first mode and the translation of the modal energy is coming from the reconstructing of spatial flow structures and the ordering of modal evolution characteristics. The best control effect will be achieved when the total energy ratio of the first mode is the highest and the excitation frequency reaches the separation vortex frequency at the same time. In order to quantitatively analyze the order degree of the unsteady flow field, the maximum Lyapunov exponent was introduced. The results showed that with the energy in higher modes transferred to the lower modes, the flow field transfers from a disordered pattern to an ordered one.

PACS: 2010; 47.11.-j

Funding statement: This work was supported by the National Science Foundation for Young Scientists of China (51306089) and National Science Foundation of China (51176072).

Acknowledgments

The authors wish to express their gratitude to Jiangsu Province Key Laboratory of Aerospace Power System (affiliated to College of Energy and Power Engineering, Nanjing University of Aeronautics and Astronautics) for technical support.

Nomenclature

F+

non-dimensional frequency

St

strouhal number

P

total pressure

ck

total energy ratio

λk

eigenvalue

f0

separation vortex frequency

fvir

vibration frequency

L

non-dimensional vibration amplitude

L

characteristic scale

A

vibration amplitude

m

mach number

η

total pressure loss coefficient

ν

velocity

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Received: 2017-08-15
Accepted: 2017-09-05
Published Online: 2017-09-27
Published in Print: 2019-05-27

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Heruntergeladen am 19.1.2026 von https://www.degruyterbrill.com/document/doi/10.1515/tjj-2017-0031/pdf
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