Abstract
We use the novel hot-wire rake of 143 single wire probes to measure 30 cm thick boundary layer of the large LML wind tunnel at Reynolds number based on momentum thickness of 9800 and 19 100. Multiple-point cross-correlation analysis using the data from the hot-wire rake show that the physical length of the correlation contour in the streamwise direction is about 7 boundary layer thickness. In addition, the shape of the correlations maps obtained from two-point correlations on the streamwise–wall-normal plane retains its shape approximately throughout the entire boundary layer. The data is also used for POD analysis of the boundary layer using only the streamwise turbulent fluctuations. The normalized eigenvalue distribution shows that the first POD mode has more than 40% of the turbulence kinetic energy, while the second one has about 20% of the total turbulence kinetic energy for both of the Reynolds number tested here. It is possible to recover about 90% of the kinetic energy only using the first four POD modes. The reconstructed velocity fluctuations on the spanwise–wall-normal plane show how organized motions of turbulence with significant amounts of energy interact with each other across the boundary layer. It is also possible to observe the strength of the interaction between the inner and outer layer using these reconstructed velocity fields.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Citriniti, J.H., George, W.K.: Reconstruction of the global velocity field in the axisymmetric mixing layer utilizing the proper orthogonal decomposition. J. Fluid Mech. 418, 137–166 (2000)
Johansson, P.B.V., George, W.K.: The far downstream evolution of the high Reynolds number axisymmetric wake behind a disk. Part 2. Slice proper orthogonal decomposition. J. Fluid Mech. 555, 387–408 (2006)
Krogstad, P., Kaspersen, J.H., Rimestad, S.: Convection velocities in a turbulent boundary layer. Phys. Fluids 10(4), 949–957 (1998)
Tutkun, M., Johansson, P.B., George, W.K.: Three-component vectorial proper orthogonal decomposition of axisymmetric wake behind a disk. AIAA J. 46(5), 1118–1134 (2008)
Tutkun, M., George, W.K., Delville, J., Stanislas, M., Johansson, P.B.V., Foucaut, J.M., Coudert, S.: Two-point correlations in high Reynolds number flat plate turbulent boundary layers. J. Turbul. 10(21), 1–23 (2009)
Acknowledgements
This work has been performed under the WALLTURB project. WALLTURB (A European synergy for the assessment of wall turbulence) is funded by the CEC under the 6th framework program (CONTRACT No: AST4-CT-2005-516008). M. Tutkun acknowledges the partial support by the Center of Excellence grant from the Norwegian Research Council to the Center for Biomedical Computing at Simula Research Laboratory.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Springer Science+Business Media B.V.
About this paper
Cite this paper
Tutkun, M., George, W.K., Stanislas, M., Delville, J., Foucaut, JM., Coudert, S. (2011). Two-Point Correlations and POD Analysis of the WALLTURB Experiment Using the Hot-Wire Rake Database. In: Stanislas, M., Jimenez, J., Marusic, I. (eds) Progress in Wall Turbulence: Understanding and Modeling. ERCOFTAC Series, vol 14. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9603-6_10
Download citation
DOI: https://doi.org/10.1007/978-90-481-9603-6_10
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-9602-9
Online ISBN: 978-90-481-9603-6
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)