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Unsteady pressure-sensitive-paint (PSP) measurement in low-speed flow: characteristic mode decomposition and noise floor analysis

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Abstract

Pressure-sensitive-paint (PSP) measurement was conducted for unsteady phenomena at various frequencies up to the order of kHz in low-speed flow to evaluate measurement accuracy of PSP. Pressure fluctuations on the floor surface induced by the Karman vortex were measured by PSP and unsteady pressure transducer. The dominant frequency of the pressure fluctuations is varied from 0.15 to 1.7 kHz by changing the size of the square cylinder. While regions with large pressure fluctuations could be visualized by calculating root mean square of pressure fluctuations from PSP images, the values significantly differed from those measured by pressure transducer. By applying Fast Fourier Transform (FFT), the power spectral density (PSD) at peak frequencies could be obtained within an error of 20%. Singular-value decomposition (SVD) yields a remarkable improvement in signal-to-noise ratio. However, amplitude of pressure fluctuations is changed depending on the way how to select modes. Three mode-selection methods for SVD filtering/reconstruction analysis are proposed in this study which show good improvement compared with convection method and are proved capable of extracting characteristic behaviors of the flow phenomena even below the noise floor.

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Abbreviations

A :

m × n matrix

A, B :

Stern–Volmer coefficient

D :

Width and depth of square cylinder model

f :

Frequency

f s :

Frame rate of camera

Δf :

Frequency resolution

I :

Intensity of PSP luminescence

L :

Length

N :

Number of images

N FFT :

Number of images for FFT

P :

Pressure

ΔP :

Measurement error of PSP

PtTFPP:

Platinum(II)-5,10,15,20-tetrakis-(2,3,4,5,6-pentafluorphenyl)-porphyrin

POD:

Proper orthogonal decomposition

Re :

Reynolds number

St :

Strouhal number

S XX :

Auto spectral obtained by FFT

s(ω):

Spectral density function

T :

Temperature

U :

Eigenvector matrix of AAT

U :

Velocity

U ∞ :

Free stream velocity

u :

Left singular vectors

V :

Eigenvector matrix of ATA

v :

Right singular vectors

w :

Frequency

x :

x-direction

y :

y-direction

Σ :

Non-zero singular values of matrix A

σ :

Singular values

ave:

Average

fps:

Frame per second

Kulite:

Pressure transducer

MS:

Mode spectral

PC-PSP:

Polymer/Ceramic PSP

PSP:

Pressure-sensitive paint

PSD:

Power spectral density

ref:

Reference condition

reconst:

Reconstructed value/mode

rms/RMS:

Root mean square of pressure fluctuations

SNR:

Signal-to-noise ratio

SVD:

Singular-value decomposition

TS:

Time series

Σ:

Sum

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Acknowledgements

This work and the experiments were conducted in the Lab of Experimental Aerodynamics, Tohoku University, Japan. The support from the Talents Program of the Chinese Academy of Sciences (China), the JSPS KAKENHI (No. 16H04582), and the JST-PREST (No. JPMJPR1678) are gratefully acknowledged by the authors.

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Authors and Affiliations

  1. Department of Aerospace Engineering, Tohoku University, Aoba 6-6, Aramaki-aza, Aoba-ku, Sendai, 980-8579, Japan

    Yosuke Sugioka, Kodai Hiura, Taku Nonomura & Keisuke Asai

  2. Institute of Engineering Thermophysics, Chinese Academy of Sciences, Beijing, 100190, China

    Lin Chen

  3. School of Aeronautics and Astronautics, University of Chinese Academy of Sciences, Beijing, 100049, China

    Lin Chen

  4. Center for Technology Innovation-Mechanical Engineering, Research and Development Group, Hitachi, Ltd, Hitachinaka, Ibaraki, 312-8506, Japan

    Akitoshi Matsui & Kiyoshi Morita

Authors
  1. Yosuke Sugioka
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  2. Kodai Hiura
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  3. Lin Chen
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  4. Akitoshi Matsui
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  5. Kiyoshi Morita
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  6. Taku Nonomura
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  7. Keisuke Asai
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Correspondence to Lin Chen.

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Sugioka, Y., Hiura, K., Chen, L. et al. Unsteady pressure-sensitive-paint (PSP) measurement in low-speed flow: characteristic mode decomposition and noise floor analysis. Exp Fluids 60, 108 (2019). https://doi.org/10.1007/s00348-019-2755-9

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  • DOI: https://doi.org/10.1007/s00348-019-2755-9

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