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Bubbles and drops in the vicinity of turbulent/non-turbulent interface in turbulent boundary layers

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Abstract

The properties of low-vorticity pockets within the turbulent region (named as bubbles) and high-vorticity pockets within the potential flow region (named as drops) in the vicinity of turbulent/non-turbulent (T/NT) interface in turbulent boundary layers are first experimentally investigated using two-dimensional time-resolved particle image velocimetry. The T/NT interface is detected with a turbulent kinetic energy (TKE) criterion. The bubbles and drops which enlarge the T/NT interface area will promote the entrainment process. A detailed study revealed that the T/NT interface above bubbles is generally higher than the mean interface position, whereas the T/NT interface below drops is lower. Due to different sizes of bubbles and drops, though the temporal probability of bubbles is much larger than drops, the spatial probability is similar. Moreover, the conditional mean velocity distribution and the convection speed of the bubbles and drops are first obtained, especially in experiments. The streamwise velocity of fluids in bubbles at different Reynolds number is larger than surrounding turbulent flow, while in drops, the streamwise velocity is smaller than surrounding free-stream. The conditional mean streamwise velocity difference can be well scaled with respective friction velocity. Besides, bubbles and drops will convect downstream with the velocity of surrounding fluids.

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References

  • Agrawal A, Prasad AK (2004) Evolution of a turbulent jet subjected to volumetric heating. J Fluid Mech 511(511):95–123

    Article  MATH  Google Scholar 

  • Anand R, Boersma BJ, Agrawal A (2009) Detection of turbulent/non-turbulent interface for an axisymmetric turbulent jet: evaluation of known criteria and proposal of a new criterion. Exp Fluids 47(6):995–1007

    Article  Google Scholar 

  • Bisset DK, Hunt JCR, Rogers MM (2002) The turbulent/non-turbulent interface bounding a far wake. J Fluid Mech 451(451):383–410

    Article  MathSciNet  MATH  Google Scholar 

  • Borrell G, Jiménez J (2016) Properties of the turbulent/non-turbulent interface in boundary layers. J Fluid Mech 801:554–596

    Article  MathSciNet  Google Scholar 

  • Champagnat F, Plyer A, Le Besnerais G, Leclaire B, Davoust S, Le Sant Y (2011) Fast and accurate piv computation using highly parallel iterative correlation maximization. Exp Fluids 50(4):1169–1182

    Article  Google Scholar 

  • Chauhan K, Nagib H, Monkewitz P (2007) On the composite logarithmic profile in zero pressure gradient turbulent boundary layers. In: 45th AIAA Aerospace Sciences Meeting and Exhibit, p 532

  • Chauhan K, Philip J, de Silva CM, Marusic I (2014) The turbulent/non-turbulent interface and entrainment in a boundary layer. J Fluid Mech 742:119–151

    Article  Google Scholar 

  • Chauhan K, Philip J, Marusic I (2014) Scaling of the turbulent/non-turbulent interface in boundary layers. J Fluid Mech 751:298–328

    Article  Google Scholar 

  • Chen CHP, Blackwelder RF (1978) Large-scale motion in a turbulent boundary layer: a study using temperature contamination. J Fluid Mech 89:1–31

    Article  MATH  Google Scholar 

  • Chin C, Örlü R, Monty JP, Hutchins N, Ooi A, Schlatter P (2017) Simulation of a large-eddy-break-up device (LEBU) in a moderate Reynolds number turbulent boundary layer, Flow. Turbul Combust 98:445–460

    Article  Google Scholar 

  • Corrsin S, Kistler AL (1955) Free-stream boundaries of turbulent flows. Naca Tech. Rep. TN-1244.

  • da Silva CB, dos Reis RJN (2011) The role of coherent vortices near the turbulent/non-turbulent interface in a planar jet. Philos Trans R Soc A 369:738–753

    Article  MathSciNet  MATH  Google Scholar 

  • da Silva CB, dos Reis RJN, Pereira JCF (2011) The intense vorticity structures near the turbulent/non-turbulent interface in a jet. J Fluid Mech 685:165–190

    Article  MATH  Google Scholar 

  • da Silva CB, Hunt JCR, Eames I, Westerweel J (2014a) Interfacial layers between regions of different turbulent intensity. Annu Rev Fluid Mech 46:567–590

    Article  MATH  Google Scholar 

  • da Silva CB, Taveira RR, Borrell G (2014b) Characteristics of the turbulent/non-turbulent interface in boundary layers, jets and shear-free turbulence. J Phys Conference Series 506:012015

    Article  Google Scholar 

  • de Silva CM, Philip J, Chauhan K, Meneveau C, Marusic I (2013) Multiscale geometry and scaling of the turbulent/non-turbulent interface in high Reynolds number boundary layers. Phys Rev Lett 111:044501

    Article  Google Scholar 

  • Deng S, Pan C, Wang JJ, He GS (2018) On the spatial organization of hairpin packets in a turbulent boundary layer at low-to-moderate Reynolds number. J Fluid Mech 844:635–668

    Article  MathSciNet  MATH  Google Scholar 

  • Dimotakis PE (2000) The mixing transition in turbulent flows. J Fluid Mech 409:69–98

    Article  MathSciNet  MATH  Google Scholar 

  • Eisma J, Westerweel J, Ooms G, Elsinga GE (2015) Interfaces and internal layers in a turbulent boundary layer. Phys Fluids 27(5):055103

    Article  Google Scholar 

  • Gampert M, Boschung J, Hennig F, Gauding M, Peters N (2014) The vorticity versus the scalar criterion for the detection of the turbulent/non-turbulent interface. J Fluid Mech 750:578–596

    Article  Google Scholar 

  • Hwang J, Sung HJ (2018) Wall-attached structures of velocity fluctuations in a turbulent boundary layer. J Fluid Mech 856:958–983

    Article  MathSciNet  MATH  Google Scholar 

  • Jahanbakhshi R, Vaghefi NS, Madnia CK (2015) Baroclinic vorticity generation near the turbulent/non-turbulent interface in a compressible shear layer. Phys Fluids 27(10):567–590

    Article  Google Scholar 

  • Jimenez J, Hoyas S (2008) Turbulent fluctuations above the buffer layer of wall-bounded flows. J Fluid Mech 611(3):215–236

    Article  MATH  Google Scholar 

  • Jimenez J, Hoyas S, Simens MP, Mizuno Y (2010) Turbulent boundary layers and channels at moderate Reynolds number. J Fluid Mech 657:335–360

    Article  MATH  Google Scholar 

  • Kevin K, Monty JP, Bai HL, Pathikonda G, Nugroho B, Barros JM, Hutchins N (2017) Cross-stream stereoscopic particle image velocimetry of a modified turbulent boundary layer over directional surface pattern. J Fluid Mech 813:412–435

    Article  MathSciNet  MATH  Google Scholar 

  • Kim JS, Hwang J, Yoon M, Ahn J, Sung HJ (2017) Influence of a large-eddy breakup device on the frictional drag in a turbulent boundary layer. Phys Fluids 29(6):065103

    Article  Google Scholar 

  • Lee J, Sung HJ, Zaki TA (2017) Signature of large-scale motions on turbulent/non-turbulent interface in boundary layers. J Fluid Mech 819:165–187

    Article  MathSciNet  MATH  Google Scholar 

  • Marusic I, Kunkel GJ (2003) Streamwise turbulence intensity formulation for fat-plate boundary layers. Phys Fluids 15(8):2461–2464

    Article  MATH  Google Scholar 

  • Mathew J, Basu AJ (2002) Some characteristics of entrainment at a cylindrical turbulence boundary. Phys Fluids 14(7):2065–2072

    Article  MathSciNet  MATH  Google Scholar 

  • Mistry D, Philip J, Dawson JR, Marusic I (2016) Entrainment at multi-scales across the turbulent/non-turbulent interface in an axisymmetric jet. J Fluid Mech 802:690–725

    Article  MathSciNet  Google Scholar 

  • Pan C, Xue D, Xu Y, Wang JJ, Wei RJ (2015) Evaluating the accuracy performance of Lucas–Kanade algorithm in the circumstance of piv application. Sci China Phys Mech Astron 58(10):1–16

    Article  Google Scholar 

  • Philip J, Meneveau C, de Silva CM, Marusic I (2014) Multiscale analysis of fluxes at the turbulent/non-turbulent interface in high Reynolds number boundary layers. Phys Fluids 26(1):220–501

    Article  Google Scholar 

  • Prasad RR, Sreenivasan KR (1989) Scalar interfaces in digital images of turbulent flows. Exp Fluids 7(4):259–264

    Article  Google Scholar 

  • Townsend AA (1976) The structure of turbulent shear flow, 2nd edn. Cambridge University Press, Cambridge

    MATH  Google Scholar 

  • Tropea C, Yarin A, Foss JF (2007) Handbook of experimental fluid mechanics, 1st edn. Springer, New York

    Google Scholar 

  • Wang WK, Pan C, Wang JJ (2018) Wall-normal variation of spanwise streak spacing in turbulent boundary layer with low-to-moderate Reynolds number. Entropy 21(1)

  • Watanabe T, Sakai Y, Nagata K, Hayase T (2014) Enstrophy and passive scalar transport near the turbulent/non-turbulent interface in a turbulent planar jet flow. Phys Fluids 26:567

    Google Scholar 

  • Watanabe T, da Silva CB, Sakai Y, Nagata K, Hayase T (2016) Lagrangian properties of the entrainment across turbulent/non-turbulent interface layers. Phys Fluids 28:135–338

    Google Scholar 

  • Watanabe T, Zhang X, Nagata K (2018) Turbulent/non-turbulent interfaces detected in DNS of incompressible turbulent boundary layers. Phys Fluids 30:035102

    Article  Google Scholar 

  • Westerweel J, Fukushima C, Pedersen JM, Hunt JC (2005) Mechanics of the turbulent/non-turbulent interface of a jet. Phys Rev Lett 95:174501

    Article  Google Scholar 

  • Wu Z, Lee J, Meneveau C, Zaki T (2019) Application of a self-organizing map to identify the turbulent-boundary-layer interface in a transitional flow. Phys Rev Fluids 2:023902

    Article  Google Scholar 

  • Wu D, Wang JJ, Cui GY, Pan C (2020) Effects of surface shapes on properties of turbulent/non-turbulent interface in turbulent boundary layers. Sci China Tech Sci 63:214–222

    Article  Google Scholar 

  • Zhou Y, Vassilicos J (2017) Related self-similar statistics of the turbulent/non-turbulent interface and the turbulence dissipation. J Fluid Mech 821:440–457

    Article  MathSciNet  MATH  Google Scholar 

Download references

Acknowledgements

The authors thank the anonymous reviews whose comments and suggestions greatly improved the quality of the manuscript. The authors appreciate the financial support for this study from the National Natural Science Foundation of China (nos. 91852206, 11490552 and 11721202).

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Correspondence to Jinjun Wang.

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Wu, D., Wang, J. & Pan, C. Bubbles and drops in the vicinity of turbulent/non-turbulent interface in turbulent boundary layers. Exp Fluids 61, 240 (2020). https://doi.org/10.1007/s00348-020-03073-8

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  • DOI: https://doi.org/10.1007/s00348-020-03073-8

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