Abstract
Turbulent convection velocities in a turbulent boundary layer at a Reynolds number of R e 𝜃 = 2250 are examined via the use of a high repetition rate particle image velocimetry measurement undertaken in a water tunnel. Multiple cameras are used to improve the spatial dynamic range of the measurement and reduce the bias towards large-scale structures while simultaneously capturing a wall-normal domain of 0.06δ to 1.7δ. The impact of measurement noise is minimized via careful temporal and spatial filtering of the velocity fields as guided by the comparison of temporal and spatial velocity power spectra with spatially filtered direct numerical simulation data, enabling an estimation of the effective noise-limited spatial and temporal dynamic range of the present experimental measurement. Space-time correlations and phase-spectra are used to estimate the mean and streamwise wave-number dependent convection velocities at various heights above the wall. Results reveal convection velocities greater than the local mean velocity in the lower log layer, decreasing to a level 3.5 % lower than the mean velocity in the upper log and wake regions. The convection velocity is shown to depend on the streamwise length scale and is found to decrease at higher wave-numbers for all wall-normal locations. Comparison between the measured and reconstructed spatial fields show that Taylor’s hypothesis can only be applied over short streamwise distances of less than 1δ in the buffer and inner log-layer, while larger projection distances (≥3δ) are possible in the outer-log and wake region of the turbulent boundary layer.
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References
Atkinson, C., Buchmann, N.A., Amili, O., Soria, J.: On the appropriate filtering of PIV measurements of turbulent shear flows. Experiments in Fluids 55(1), 1–15 (2013)
de Kat, R., Gan, L., Dawson, J.R., Ganapathisubramani, B.: Limitations of estimating turbulent convection velocities from PIV. In: 16th Int. Symp. App. Laser Techniques to fluid Mech., Lisbon, Portugal, 9-12 July (2012)
del Álamo, J.C., Jiménez, J.: Estimation of turbulent convection velocities and corrections to Taylor’s approximation. J. Fluid Mech. 640, 5–26 (2009)
Dennis, D.J.C., Nickels, T.B.: On the limitations of Taylor’s hypothesis in constructing long structures in a turbulent boundary layer. J. Fluid Mech. 614, 197–206 (2008)
Dennis, D. J.C., Nickels, T.B.: Experimental measurement of large-scale three-dimensional structures in a turbulent boundary layer. part 2. long structures. J. Fluid Mech. 673, 218–244 (2011)
Foucaut, J.M., Carlier, J., Stanislas, M.: PIV optimization for the study of turbulent flow using spectral analysis. Meas. Sci. Technol. 15, 1046–1058 (2004)
Herpin, S., Wong, C.Y., Stanislas, M., Soria, J.: Stereoscopic PIV measurements of a turbulent boundary layer with a large spatial dynamic range. Exp. Fluids 45, 745–763 (2008)
Huang, H.T., Fiedler, H.E., Wang, J.J.: Limitations and improvements of PIV; part II: particle image distortion, a novel technique. Exp. Fluids 15, 263–273 (1993)
Krogstad, P., Kaspersen, J.H., Rimestad, S.: Convection velocities in a turbulent boundary layer. Phys. Fluids 10(4), 949–957 (1998)
Kunkel, G.J., Marusic, I.: Study of the near-wall-turbulent region of the high-reynolds-number boundary layer using atmospheric data. J. Fluid Mech. 548, 375–402 (2006)
LeHew, J., Guala, M., McKeon, B.J.: A study of the three-dimensional spectral energy distribution in a zero pressure gradient turbulent boundary layer. Exp. Fluids 51, 997–1012 (2011)
Lin, C.C.: On Taylor’s hypothesis and the acceleration terms in the navier-stokes equations. Q. Appl. Math. 10(4), 295–306 (1953)
Scarano, F.: Iterative image deformation methods in PIV. Meas. Sci. Technol. 13, R1-R19 (2002)
Schröder, A., Geisler, R., Staack, K., Elsinga, G.E., Scarano, F., Wieneke, B., Henning, A., Poelma, C., Westerweel, J.: Eulerian and lagrangian views of a turbulent boundary layer flow using time-resolved tomographic PIV. Exp. Fluids 50, 1071–1091 (2011)
Soloff, S.M., Adrian, R.J., Liu, Z.C.: Distortion compensation for generalized stereoscopic particle image velocimetry. Meas. Sci. Technol. 8, 144–1454 (1997)
Soria, J.: An investigation of the near wake of a circular cylinder using a video-based digital cross-correlation particle image velocimetry technique. Exp. Therm. Fluid Sci. 12, 221–233 (1996)
Taylor, G.I.: The spectrum of turbulence. Proc. R. Soc. Lond. 164(919), 476–490 (1938)
Townsend, A.A.: The structure of turbulent shear flows. Cambridge University Press, UK (1956)
Westerweel, J., Scarano, F.: Universal outlier detection for PIV data. Exp. Fluids 39, 1096–1100 (2005)
Wills, J.A.B.: Convection velocities in turbulent shear flows. J. Fluid Mech. 20, 417–432 (1964)
Wu, X., Moin, P.: Transitional and turbulent boundary layer with heat transfer. Phys. Fluids 22 085105 (2010)
Zaman, K.B.M.Q., Hussain, A.K.M.F.: Taylor’s hypothesis and large-scale coherent structures. J. Fluid Mech. 112, 379–396 (1981)
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Atkinson, C., Buchmann, N.A. & Soria, J. An Experimental Investigation of Turbulent Convection Velocities in a Turbulent Boundary Layer. Flow Turbulence Combust 94, 79–95 (2015). https://doi.org/10.1007/s10494-014-9582-0
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DOI: https://doi.org/10.1007/s10494-014-9582-0