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Properties of synthetic and natural streamwise vortex pairs in the near-wall region of turbulent boundary layers
Phys. Rev. Fluids 10, 034601 – Published 3 March, 2025
DOI: https://doi.org/10.1103/PhysRevFluids.10.034601
Abstract
A low-friction-Reynolds-number () turbulent boundary layer perturbed by additional streamwise vortices is investigated using wall-resolved large-eddy simulation. To better understand how one might passively mimic and/or manipulate the formation of streamwise vortex pairs (SVPs) that naturally occur as part of the near-wall cycle, SVPs are artificially produced by small vortex generators (of height ) within the near-wall region. Thus, the present study contrasts the more typical large vortex generators used in turbulent boundary layer manipulation and separation control. Analyses employing a triple decomposition of velocity and pressure and its extension to the incompressible Navier-Stokes equation is used to better understand the coherent and turbulence fields associated with the synthetic and naturally occurring SVPs. Overall, it is observed that the near-wall synthetic and natural streamwise vortices have similar interactions with the surrounding turbulent field, and exhibit similarities in statistical structure. In particular, it is found that the synthetic SVPs exhibit a remarkably similar signature of kinetic energy transport with their natural counterparts. Through the comparisons with the ensemble-averaged natural SVPs, it is found that the natural and synthetic SVPs are identified to own similar spatial scales and evolution characteristics such that when they are inner scaled they exhibit similar magnitudes at comparable streamwise stations. This indicates that the wall response to SVPs may in fact constitute a generic mechanism underlying turbulent transport near the wall. These similarities suggest that embedded small synthetic streamwise vortices are self-contained in the near-wall region and directly interact with the structures in this area to influence the associated turbulent transport.
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References (53)
- O. Reynolds, An experimental investigation of the circumstances which determine whether the motion of water shall be direct or sinuous, and of the law of resistance in parallel channels, Proc. R. Soc. London A 174, 935 (1883).
- S. K. Robinson, Coherent motions in the turbulent boundary layer, Annu. Rev. Fluid Mech. 23, 601 (1991).
- R. L. Panton, Self-Sustaining Mechanisms of Wall Turbulence (Computational Mechanics Publications, Southampton, UK, 1997).
- J. C. Klewicki, Reynolds number dependence, scaling, and dynamics of turbulent boundary layers, J. Fluids Eng. 132, 094001 (2010).
- A. J. Smits, B. J. McKeon, and I. Marusic, High-Reynolds number wall turbulence, Annu. Rev. Fluid Mech. 43, 353 (2011).
- A. Bobke, R. Vinuesa, R. Örlü, and P. Schlatter, History effects and near equilibrium in adverse-pressure-gradient turbulent boundary layers, J. Fluid Mech. 820, 667 (2017).
- M. Yoon, J. Hwang, and H. J. Sung, Contribution of large-scale motions to the skin friction in a moderate adverse pressure gradient turbulent boundary layer, J. Fluid Mech. 848, 288 (2018).
- M. Bross, T. Fuchs, and C. J. Kähler, Interaction of coherent flow structures in adverse pressure gradient turbulent boundary layers, J. Fluid Mech. 873, 287 (2019).
- M. Yoon, J. Hwang, J. Yang, and H. J. Sung, Wall-attached structures of streamwise velocity fluctuations in an adverse-pressure-gradient turbulent boundary layer, J. Fluid Mech. 885, A12 (2020).
- S. Romero, S. Zimmerman, J. Philip, C. White, and J. Klewicki, Properties of the inertial sublayer in adverse pressure-gradient turbulent boundary layers, J. Fluid Mech. 937, A30 (2022).
- W. Anderson, J. M. Barros, K. T. Christensen, and A. Awasthi, Numerical and experimental study of mechanisms responsible for turbulent secondary flows in boundary layer flows over spanwise heterogeneous roughness, J. Fluid Mech. 768, 316 (2015).
- K. Kevin, J. P. Monty, H. 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).
- F. Xu, S. Zhong, and S. Zhang, Experimental study on secondary flow in turbulent boundary layer over spanwise heterogeneous microgrooves, Phys. Fluids 32, 035109 (2020).
- D. D. Wangsawijaya and N. Hutchins, Investigation of unsteady secondary flows and large-scale turbulence in heterogeneous turbulent boundary layers, J. Fluid Mech. 934, A40 (2022).
- H. Hattori, K. Hotta, and T. Houra, Characteristics and structures in thermally-stratified turbulent boundary layer with counter diffusion gradient phenomenon, Int. J. Heat Fluid Flow 49, 53 (2014).
- O. Williams, T. Hohman, T. Van Buren, E. Bou-Zeid, and A. J. Smits, The effect of stable thermal stratification on turbulent boundary layer statistics, J. Fluid Mech. 812, 1039 (2017).
- A. Doosttalab, G. Araya, J. Newman, R. J. Adrian, K. Jansen, and L. Castillo, Effect of small roughness elements on thermal statistics of a turbulent boundary layer at moderate Reynolds number, J. Fluid Mech. 787, 84 (2016).
- P. Forooghi, X. I. Yang, and M. Abkar, Roughness-induced secondary flows in stably stratified turbulent boundary layers, Phys. Fluids 32, 105118 (2020).
- 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).
- I. Shabaka, R. Mehta, and P. Bradshaw, Longitudinal vortices imbedded in turbulent boundary layers. Part 1. Single vortex, J. Fluid Mech. 155, 37 (1985).
- R. Mehta and P. Bradshaw, Longitudinal vortices imbedded in turbulent boundary layers. Part 2. Vortex pair with ‘common flow' upwards, J. Fluid Mech. 188, 529 (1988).
- J. Liu, U. Piomelli, and P. R. Spalart, Interaction between a spatially growing turbulent boundary layer and embedded streamwise vortices, J. Fluid Mech. 326, 151 (1996).
- O. Lögdberg, J. H. Fransson, and P. H. Alfredsson, Streamwise evolution of longitudinal vortices in a turbulent boundary layer, J. Fluid Mech. 623, 27 (2009).
- R. Rathnasingham and K. S. Breuer, Active control of turbulent boundary layers, J. Fluid Mech. 495, 209 (2003).
- T. Jukes and K.-S. Choi, On the formation of streamwise vortices by plasma vortex generators, J. Fluid Mech. 733, 370 (2013).
- X. Cheng, C. Wong, F. Hussain, W. Schröder, and Y. Zhou, Flat plate drag reduction using plasma-generated streamwise vortices, J. Fluid Mech. 918, A24 (2021).
- R. Westphal, J. Eaton, and W. Pauley, Interaction between a vortex and a turbulent boundary layer in a streamwise pressure gradient, in Turbulent Shear Flows 5, edited by F. Durst, B. Launder, J. Lumley, F. Schmidt, and J. Whitelaw (Springer, Berlin, 1987), pp. 266–277.
- R. V. Westphal and R. D. Mehta, Interaction of an oscillating vortex with a turbulent boundary layer, Exp. Fluids 7, 405 (1989).
- J. Lin, F. Howard, and G. Selby, Small submerged vortex generators for turbulent flow separation control, J. Spacecr. Rockets 27, 503 (1990).
- J. Lin, Control of turbulent boundary-layer separation using micro-vortex generators, in Proceedings of the 30th Fluid Dynamics Conference (AIAA Press, Reston, VA, 1999), Paper No. 993–404.
- J. Mounts and T. Barber, Numerical analysis of shock-induced separation alleviation using vortex generators, in Proceedings of the 30th Aerospace Sciences Meeting and Exhibit (AIAA Press, Reston, VA, 1992), Paper No. 920–751.
- D. McCormick, Shock/boundary-layer interaction control with vortex generators and passive cavity, AIAA J. 31, 91 (1993).
- J. Lin, Review of research on low-profile vortex generators to control boundary-layer separation, Prog. Aerosp. Sci. 38, 389 (2002).
- C. Chan and R. Chin, Investigation of the influence of miniature vortex generators on the large-scale motions of a turbulent boundary layer, J. Fluid Mech. 932, A29 (2022).
- J. Hamilton, J. Kim, and F. Waleffe, Regeneration mechanisms of near-wall turbulence structures, J. Fluid Mech. 287, 317 (1995).
- F. Waleffe and J. Kim, How streamwise rolls and streaks self-sustain in a shear flow, in Self-Sustaining Mechanisms of Wall Turbulence, edited by R. Panton (Computational Mechanics Publications, Southampton, UK, 1997), pp. 309–332.
- J. Jiménez and A. Pinelli, The autonomous cycle of near-wall turbulence, J. Fluid Mech. 389, 335 (1999).
- J. Boris, F. Grinstein, E. Oran, and R. Kolbe, New insights into large eddy simulation, Fluid Dyn. Res. 10, 199 (1992).
- L. Schneiders, C. Günther, M. Meinke, and W. Schröder, An efficient conservative cut-cell method for rigid bodies interacting with viscous compressible flows, J. Comput. Phys. 311, 62 (2016).
- M.-S. Liou and C. J. Steffen, A new flux splitting scheme, J. Comput. Phys. 107, 23 (1993).
- M. Meinke, W. Schröder, E. Krause, and T. Rister, A comparison of second- and sixth-order methods for large-Eddy simulations, Comput. Fluids 31, 695 (2002).
- H. H. Pearcey, Shock induced separation and its prevention by design and boundary-layer control, in Boundary Layer and Flow Control: Its Principles and Application, edited by G. Lachmann (Pergamon Press, New York, 1961), Vol. 2, pp. 1170–1344.
- J. Kim, P. Moin, and R. Moser, Turbulence statistics in fully developed channel flow at low Reynolds number, J. Fluid Mech. 177, 133 (1987).
- B. Roidl, M. Meinke, and W. Schröder, A reformulated synthetic turbulence generation method for a zonal RANS-LES method and its application to zero-pressure gradient boundary layers, Int. J. Heat Fluid Flow 44, 28 (2013).
- R. Vinuesa, C. Prus, P. Schlatter, and H. M. Nagib, Convergence of numerical simulations of turbulent wall-bounded flows and mean cross-flow structure of rectangular ducts, Meccanica 51, 3025 (2016).
- P. Schlatter and R. Örlü, Assessment of direct numerical simulation data of turbulent boundary layers, J. Fluid Mech. 659, 116 (2010).
- C. Smith and S. Metzler, The characteristics of low-speed streaks in the near-wall region of a turbulent boundary layer, J. Fluid Mech. 129, 27 (1983).
- J. C. Klewicki, M. M. Metzger, E. Kelner, and E. Thurlow, Viscous sublayer flow visualizations at 1 500 000, Phys. Fluids 7, 857 (1995).
- L. Chan, M. MacDonald, D. Chung, N. Hutchins, and A. Ooi, Secondary motion in turbulent pipe flow with three-dimensional roughness, J. Fluid Mech. 854, 5 (2018).
- H. Nepf, Flow and transport in regions with aquatic vegetation, Annu. Rev. Fluid Mech. 44, 123 (2012).
- A. J. Smits, N. Matheson, and P. N. Joubert, Low-Reynolds-number turbulent boundary layers in zero and favorable pressure gradients, J. Ship Res. 27, 147 (1983).
- S. Shahinfar, J. H. Fransson, S. Sattarzadeh, and A. Talamelli, Scaling of streamwise boundary layer streaks and their ability to reduce skin-friction drag, J. Fluid Mech. 733, 1 (2013).
- S. Kline, W. Reynolds, F. Schraub, and P. Runstadler, The structure of turbulent boundary layers, J. Fluid Mech. 30, 741 (1967).