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Wake behavior analysis for two circular cylinders placed at several angles to the flow

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Abstract

This paper presents an experimental study performed in an aerodynamic channel using hot-wire anemometers and flow visualization by injection of dye in water in a hydraulic channel of the flow on two rigid cylinders placed at several angular positions to the flow, from 0° (side-by-side) to 90° (tandem). The main objective is to analyze the effects of the angular positions on the wake flow and the occurrence of bistability. Signal analysis was performed by means of Fourier and discrete and continuous wavelets transform. Time series of the angle of the flow emanating from the cylinder gap related to the main flow direction were obtained from flow visualization analysis to track the flow mode change in the water flow. Results from the aerodynamic channel showed the presence of bistability only for side-by-side configuration, and some attempts to modify the flow mode for 2.5° and 5° while through the flow visualization the flow mode changes were present for side-by-side and for 2.5° configurations. For the other angles investigated, the presence of a narrow and a wide wake without flow mode changes was observed. The difference between the results for 2.5° suggests that the scales and inertia involved in bistability phenomenon may affect the phenomenon. For 75°, the wide wake is so vigorous that it overwhelmed the narrow wake, displacing it downwards, and increasing the amplitude of the vertical component of the wake compared to smaller angles. The phenomena analyzed can be seen as two-dimensional for all cases, but the presence of vertical components shows that the resulting flow is three-dimensional.

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Abbreviations

a,b :

Wavelet parameters

B e :

Bandwidth (Hz)

CWT:

Constant wavelet transform (–)

d :

Cylinder diameter (mm)

Db20:

Daubechies wavelet

DWT:

Discrete wavelet transform (–)

f :

Frequency (Hz)

Fs :

Sampling frequency (Hz)

j :

Dilation coefficient (–)

J :

Wavelet bandwidth coefficient (–)

k :

Translation coefficient (–)

L :

Longitudinal distance between cylinders (mm)

L/D :

Longitudinal spacing ratio (–)

p :

Pitch, distance between cylinders center (mm)

p/d :

Spacing ratio

\(P_{xx} \left( {a,b} \right)\) :

Spectrogram [(m/s)2/Hz]

R i :

Analyzed result (–)

St :

Strouhal number (–)

T :

Transversal distance between cylinders (mm)

T/D :

Transversal spacing ratio (–)

x(t):

Generic function in time domain (–)

x i :

Uncertainty for measured variable (–)

α i :

Flow incidence angle (°)

δ :

Deflection angle, flow emanating from the cylinders (°)

\(\delta R_{i}\) :

Measurement uncertainty for the respective variable (–)

ε :

Statistical error (%)

\(\phi_{J,k} \left( t \right)\) :

Scaling function associated with the wavelet function (−)

\(\tilde{X}\left( {a,b} \right)\) :

Generic function in the wavelet domain (−)

\(\tilde{X}\left( {j,k} \right)\) :

Wavelet series (−)

\(\psi_{a,b} \left( t \right), \psi_{j,k} \left( t \right)\) :

Generic wavelet function (−)

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Acknowledgements

This study was financed in part by the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior—Brasil (CAPES)—Finance Code 001. Patrick B. Habowski thanks CAPES for granting him a fellowship. Authors gratefully acknowledge the continuous support by CNPq, Conselho Nacional de Desenvolvimento Científico e Tecnológico, Brazil (BPP Program), Grant 303054/2017-4.

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Authors and Affiliations

  1. Programa de Pós-Graduação em Engenharia Mecânica (PROMEC/UFRGS), Universidade Federal do Rio Grande do Sul, Rua Sarmento Leite, 425, Porto Alegre, CEP 90050-170, Brazil

    Patrick Batista Habowski & Sergio Viçosa Möller

  2. Departamento de Engenharia Mecânica (DEMEC/UFRGS), Universidade Federal do Rio Grande do Sul, Rua Sarmento Leite 425, Porto Alegre, CEP 90050-170, Brazil

    Alexandre Vagtinski de Paula

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  1. Patrick Batista Habowski
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Correspondence to Sergio Viçosa Möller.

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Technical Editor: Erick Franklin, Ph.D..

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Habowski, P.B., de Paula, A.V. & Möller, S.V. Wake behavior analysis for two circular cylinders placed at several angles to the flow. J Braz. Soc. Mech. Sci. Eng. 42, 441 (2020). https://doi.org/10.1007/s40430-020-02528-7

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  • DOI: https://doi.org/10.1007/s40430-020-02528-7

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