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Detection of the persistency of the blockages symmetry influence on the multi-scale cross-correlations of the velocity fields in internal turbulent flows in pipelines

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  • Rodrigues Santos, F.
  • Brito, A.A.
  • de Castro, A.P.N.
  • Almeida, M.P.
  • da Cunha Lima, A.T.
  • Zebende, G.F.
  • da Cunha Lima, I.C.

Abstract

In this paper we analyze the influence of obstacles symmetry on the development of the turbulent flow of a fluid through a pipeline. The analysis is based on the numerical solutions of the Navier–Stokes equations for the velocity field. The influence of the obstacle symmetry on the turbulence is detected by changing their shape while keeping the blockage ratio constant and calculating velocity field cross-correlations on the time series resulting from the simulation. The Detrended Cross-Correlation coefficient (ρDCCA) is applied to obtain two-point correlations located at different regions of the channel: at mid-channel and near the walls (above and below). With this cross-correlation coefficient we quantify how far from the obstructions these coefficients become independent on the obstructions shape, establishing a scale for the obstruction symmetry memory loss.

Suggested Citation

  • Rodrigues Santos, F. & Brito, A.A. & de Castro, A.P.N. & Almeida, M.P. & da Cunha Lima, A.T. & Zebende, G.F. & da Cunha Lima, I.C., 2018. "Detection of the persistency of the blockages symmetry influence on the multi-scale cross-correlations of the velocity fields in internal turbulent flows in pipelines," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 294-301.
    • Handle: RePEc:eee:phsmap:v:509:y:2018:i:c:p:294-301
    DOI: 10.1016/j.physa.2018.06.009
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    References listed on IDEAS

    as
    1. F. Rodrigues Santos & G. da Silva Costa & A. T. da Cunha Lima & M. P. de Almeida & I. C. da Cunha Lima, 2017. "Detection of memory loss of symmetry in the blockage of a turbulent flow within a duct," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 28(06), pages 1-14, June.
    2. Zebende, G.F., 2011. "DCCA cross-correlation coefficient: Quantifying level of cross-correlation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(4), pages 614-618.
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    1. Thiago Pires Santana & Nicole Horta & Catarina Revez & Rui Manuel Teixeira Santos Dias & Gilney Figueira Zebende, 2023. "Effects of Interdependence and Contagion on Crude Oil and Precious Metals According to ρ DCCA : A COVID-19 Case Study," Sustainability, MDPI, vol. 15(5), pages 1-12, February.

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