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Inner–outer interactions in a turbulent boundary layer overlying complex roughness
Phys. Rev. Fluids 2, 044603 – Published 24 April, 2017
DOI: https://doi.org/10.1103/PhysRevFluids.2.044603
Abstract
Hot-wire measurements were performed in a zero-pressure-gradient turbulent boundary layer overlying both a smooth and a rough wall for the purpose of investigating the details of inner–outer flow interactions. The roughness considered embodies a broad range of topographical scales arranged in an irregular manner and reflects the topographical complexity often encountered in practical flow systems. Single-probe point-wise measurements with a traversing probe were made at two different regions of the rough-wall flow, which was previously shown to be heterogeneous in the spanwise direction, to investigate the distribution of streamwise turbulent kinetic energy and large scale–small scale interactions. In addition, two-probe simultaneous measurements were conducted enabling investigation of inner–outer interactions, wherein the large scales were independently sampled in the outer layer. Roughness-induced changes to the near-wall behavior were investigated, particularly by contrasting the amplitude and frequency modulation effects of inner–outer interactions in the rough-wall flow with well-established smooth-wall flow phenomena. It was observed that the rough-wall flow exhibits both amplitude and frequency modulation features close to the wall in a manner very similar to smooth-wall flow, though the correlated nature of these effects was found to be more intense in the rough-wall flow. In particular, frequency modulation was found to illuminate these enhanced modulation effects in the rough-wall flow. The two-probe measurements helped in evaluating the suitability of the interaction-schematic recently proposed by Baars et al., Exp. Fluids 56, 1 (2015) for rough-wall flows. This model was found to be suitable for the rough-wall flow considered herein, and it was found that frequency modulation is a “cleaner” measure of the inner–outer modulation interactions for this rough-wall flow.
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References (55)
- F. H. Clauser, The turbulent boundary layer, Adv. Appl. Mech. 4, 1 (1956).
- S. J. Kline, W. C. Reynolds, F. A. Schraub, and P. W. Runstadler, The structure of turbulent boundary layers, J. Fluid Mech. 30, 741 (1967).
- J. Jiménez and A. Pinelli, The autonomous cycle of near-wall turbulence, J. Fluid Mech. 389, 335 (1999).
- R. L. Panton, Overview of the self-sustaining mechanisms of wall turbulence, Progr. Aerospace Sci. 37, 341 (2001).
- K. C. Kim and R. J. Adrian, Very large-scale motion in the outer layer, Phys. Fluids 11, 417 (1999).
- B. J. Balakumar and R. J. Adrian, Large-and very-large-scale motions in channel and boundary-layer flows, Phil. T. Roy. Soc. A 365, 665 (2007).
- H. C. H. Ng, J. P. Monty, N. Hutchins, M. S. Chong, and I. Marusic, Comparison of turbulent channel and pipe flows with varying Reynolds number, Exp. Fluids 51, 1261 (2011).
- N. Hutchins and I. Marusic, Evidence of very long meandering features in the logarithmic region of turbulent boundary layers, J. Fluid Mech. 579, 1 (2007).
- K. T. Christensen and R. J. Adrian, Statistical evidence of hairpin vortex packets in wall turbulence, J. Fluid Mech. 431, 433 (2001).
- B. Ganapathisubramani, E. K. Longmire, and I. Marusic, Characteristics of vortex packets in turbulent boundary layers, J. Fluid Mech. 478, 35 (2003).
- V. K. Natrajan and K. T. Christensen, The role of coherent structures in subgrid-scale energy transfer within the log layer of wall turbulence, Phys. Fluids 18, 065104 (2006).
- N. Hutchins and I. Marusic, Large-scale influences in near-wall turbulence, Phil. T. Roy. Soc. A 365, 647 (2007).
- K. N. Rao, R. Narasimha, and M. A. Narayanan, The bursting phenomenon in a turbulent boundary layer, J. Fluid Mech. 48, 339 (1971).
- P. R. Bandyopadhyay and A. K. M. F. Hussain, The coupling between scales in shear flows, Phys. Fluids 27, 2221 (1984).
- R. Mathis, N. Hutchins, and I. Marusic, Large-scale amplitude modulation of the small-scale structures in turbulent boundary layers, J. Fluid Mech. 628, 311 (2009).
- R. Mathis, N. Hutchins, and I. Marusic, A predictive inner–outer model for streamwise turbulence statistics in wall-bounded flows, J. Fluid Mech. 681, 537 (2011).
- I. Marusic, W. J. Baars, and N. Hutchins, An extended view of the inner-outer interaction model for wall-bounded turbulence using spectral linear stochastic estimation, Procedia Eng. 126, 24 (2015).
- R. Mathis, I. Marusic, N. Hutchins, and K. R. Sreenivasan, The relationship between the velocity skewness and the amplitude modulation of the small scale by the large scale in turbulent boundary layers, Phys. Fluids 23, 121702 (2011).
- S. Duvvuri and B. J. McKeon, Triadic scale interactions in a turbulent boundary layer, J. Fluid Mech. 767, R4 (2015).
- M. Bernardini and S. Pirozzoli, Inner/outer layer interactions in turbulent boundary layers: a refined measure for the large-scale amplitude modulation mechanism, Phys. Fluids 23, 061701 (2011).
- M. Guala, M. Metzger, and B. J. McKeon, Interactions within the turbulent boundary layer at high reynolds number, J. Fluid Mech. 666, 573 (2011).
- D. Chung and B. J. McKeon, Large-eddy simulation of large-scale structures in long channel flow, J. Fluid Mech. 661, 341 (2010).
- N. Hutchins, J. P. Monty, B. Ganapathisubramani, H. C. H. Ng, and I. Marusic, Three-dimensional conditional structure of a high-reynolds-number turbulent boundary layer, J. Fluid Mech. 673, 255 (2011).
- I. Jacobi and B. J. McKeon, Phase relationships between large and small scales in the turbulent boundary layer, Exp. Fluids 54, 1 (2013).
- K. M. Talluru, R. Baidya, N. Hutchins, and I. Marusic, Amplitude modulation of all three velocity components in turbulent boundary layers, J. Fluid Mech. 746, R1 (2014).
- R. Mathis, I. Marusic, S. I. Chernyshenko, and N. Hutchins, Estimating wall-shear-stress fluctuations given an outer region input, J. Fluid Mech. 715, 163 (2013).
- D. Fiscaletti, B. Ganapathisubramani, and G. E. Elsinga, Amplitude and frequency modulation of the small scales in a jet, J. Fluid Mech. 772, 756 (2015).
- B. Ganapathisubramani, N. Hutchins, J. P. Monty, D. Chung, and I. Marusic, Amplitude and frequency modulation in wall turbulence, J. Fluid Mech. 712, 61 (2012).
- W. J. Baars, K. M. Talluru, N. Hutchins, and I. Marusic, Wavelet analysis of wall turbulence to study large-scale modulation of small scales, Exp. Fluids 56, 1 (2015).
- N. Hutchins, Large-scale structures in high Reynolds number wall-bounded turbulence, in Progress in Turbulence V (Springer, Berlin, 2014), pp. 75.
- C. Zhang and S. I. Chernyshenko, Quasisteady quasihomogeneous description of the scale interactions in near-wall turbulence, Phys. Rev. Fluids 1, 014401 (2016).
- A. A. Townsend, The Structure of Turbulent Shear Flow (Cambridge University Press, Cambridge, 1976).
- M. R. Raupach, R. A. Antonia, and S. Rajagopalan, Rough-wall turbulent boundary layers, Appl. Mech. Rev. 44, 1 (1991).
- Y. Wu and K. T. Christensen, Outer-layer similarity in the presence of a practical rough-wall topography, Phys. Fluids 19, 85108 (2007).
- Y. Wu and K. T. Christensen, Spatial structure of a turbulent boundary layer with irregular surface roughness, J. Fluid Mech. 655, 380 (2010).
- R. Mejia-Alvarez, Y. Wu, and K. T. Christensen, Observations of meandering superstructures in the roughness sublayer of a turbulent boundary layer, Int. J. Heat Fluid Fl. 48, 43 (2014).
- D. T. Squire, W. J. Baars, N. Hutchins, and I. Marusic, Inner–outer interactions in rough-wall turbulence, J. Turbul. 17, 1159 (2016).
- K. Blackman and L. Perret, Non-linear interactions in a boundary layer developing over an array of cubes using stochastic estimation, Phys. Fluids 28 (2016).
- M. Nadeem, J. H. Lee, J. Lee, and H. J. Sung, Turbulent boundary layers over sparsely-spaced rod-roughened walls, Int. J. Heat Fluid Flow 56, 16 (2015).
- W. Anderson, Amplitude modulation of streamwise velocity fluctuations in the roughness sublayer: Evidence from large-eddy simulations, J. Fluid Mech. 789, 567 (2016).
- R. Mejia-Alvarez and K. T. Christensen, Low-order representations of irregular surface roughness and their impact on a turbulent boundary layer, Phys. Fluids 22, 015106 (2010).
- R. Mejia-Alvarez and K. T. Christensen, Wall-parallel stereo particle-image velocimetry measurements in the roughness sublayer of turbulent flow overlying highly irregular roughness, Phys. Fluids 25, 115109 (2013).
- J. M. Barros and K. T. Christensen, Observations of turbulent secondary flows in a rough-wall boundary layer, J. Fluid Mech. 748, R1 (2014).
- D. Willingham, W. Anderson, K. T. Christensen, and J. M. Barros, Turbulent boundary layer flow over transverse aerodynamic roughness transitions: Induced mixing and flow characterization, Phys. Fluids 26, 025111 (2014).
- W. Anderson, J. M. Barros, and K. T. Christensen, Numerical and experimental study of mechanisms responsible for turbulent secondary flows in boundary layer flows over spanwise heterogeneous roughness, J. Fluid Mech. 748, 316 (2015).
- R. Mejia Alvarez, Experimental study of low-order models of highly-irregular roughness and their impact on turbulent boundary layers, Ph.D. thesis, University of Illinois at Urbana-Champaign, 2011.
- J. Barros, Cross-plane stereo-PIV measurements of a turbulent boundary layer over highly irregular roughness, Ph.D. thesis, University of Illinois at Urbana-Champaign, 2014.
- B. Nugroho, N. Hutchins, and J. P. Monty, Large-scale spanwise periodicity in a turbulent boundary layer induced by highly ordered and directional surface roughness, Int. J. Heat Fluid Flow 41, 90 (2013).
- K. Kevin, J. P. Monty, H. L. Bai, G. Pathikonda, B. Nugroho, J. M. Barros, K. T. Christensen, and N. Hutchins, Cross-stream stereoscopic particle image velocimetry of a modified turbulent boundary layer over directional surface pattern, J. Fluid Mech. 813, 412 (2017).
- P. H. Alfredsson and R. Örlü, The diagnostic plot—A litmus test for wall bounded turbulence data, Euro. J. Mech. B/Fluids 29, 403 (2010).
- K. Chauhan, H. Nagib, and P. Monkewitz, On the composite logarithmic profile in zero pressure gradient turbulent boundary layers, in Proceedings of the 45th AIAA Aerospace Sciences Meeting and Exhibit, 8-11 January 2007, Reno, Nevada, Paper No. AIAA 2007-532 (AIAA, Reston, VA, 2007), pp. 1–18.
- M. M. Metzger and J. C. Klewicki, A comparative study of near-wall turbulence in high and low reynolds number boundary layers, Phys. Fluids 13, 692 (2001).
- R. Mathis, J. P. Monty, N. Hutchins, and I. Marusic, Comparison of large-scale amplitude modulation in turbulent boundary layers, pipes, and channel flows, Phys. Fluids 21, 111703 (2009).
- S. Duvvuri and B. McKeon, Nonlinear interactions isolated through scale synthesis in experimental wall turbulence, Phys. Rev. Fluids 1, 032401 (2016).
- P. Schlatter and R. Örlü, Quantifying the interaction between large and small scales in wall-bounded turbulent flows: A note of caution, Phys. Fluids 22, 051704 (2010).