Volume 123, Number 2, July 2018
|Number of page(s)||6|
|Published online||24 August 2018|
Cross-correlation in a turbulent flow: Analysis of the velocity field using the ρDCCA coefficient
1 Federal Institute of Bahia - Paulo Afonso, Bahia, Brazil
2 Federal Institute of Bahia - Camaçari, Bahia, Brazil
3 Unijorge University Center - Salvador, Bahia, Brazil
4 Federal University of Bahia - Salvador, Bahia, Brazil
5 Computational Modeling Program, SENAI CIMATEC - Salvador, Bahia, Brazil
6 National Institute for Science and Technology - Petroleum Geophysics, INCT-GP - Salvador, Bahia, Brazil
7 Department of Physics, State University of Feira de Santana - Feira de Santana, Bahia, Brazil
8 Earth Sciences and Environment Modeling Program, State University of Feira de Santana Feira de Santana, Bahia, Brazil
9 Pursuelife - Consultancy on Applied Science - Salvador, Bahia, Brazil
Received: 24 May 2018
Accepted: 25 July 2018
The stochastic process of a turbulent flow in a pipeline provides a time series of the velocity field at any point of the domain by solving numerically the Navier-Stokes equation. The turbulent flow was produced by obstacles near the inlet, injecting eddies into the current. Moving downstream, these eddies evolve to a fully turbulent flow. Many length and time scales are involved in this process. We explore the cross-correlations of the velocity field time series at different points and also at different time scales using the detrended cross-correlation coefficient, ρDCCA, designed to analyze the cross-correlations in non-stationary time series. Thus, the results with ρDCCA allow interpreting how these eddies propagate downstream, and also quantify how adherent the velocity fields are with respect to the pipeline position.
PACS: 05.20.Jj – Statistical mechanics of classical fluids / 02.60.-x – Numerical approximation and analysis / 05.45.Tp – Time series analysis
© EPLA, 2018
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