1932

Abstract

We review some fundamentals of turbulent drag reduction and the turbulent drag reduction techniques using streamwise traveling waves of blowing/suction from the wall and wall deformation. For both types of streamwise traveling wave controls, their significant drag reduction capabilities have been well confirmed by direct numerical simulation at relatively low Reynolds numbers. The drag reduction mechanisms by these streamwise traveling waves are considered to be the combination of direct effects due to pumping and indirect effects of the attenuation of velocity fluctuations due to reduced receptivity. Prediction of their drag reduction capabilities at higher Reynolds numbers and attempts at experimental validation are also intensively ongoing toward their practical implementation.

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2024-01-19
2024-04-24
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Literature Cited

  1. Abbas A, De Vicente J, Valero E. 2013. Aerodynamic technologies to improve aircraft performance. Aerosp. Sci. Technol. 28:100–32
    [Google Scholar]
  2. Atzori M, Vinuesa R, Stroh A, Gatti D, Frohnapfel B, Schlatter P. 2021. Uniform blowing and suction applied to nonuniform adverse-pressure-gradient wing boundary layers. Phys. Rev. Fluids 6:113904
    [Google Scholar]
  3. Bejan AE. 1978. General criterion for rating heat-exchanger performance. Int. J. Heat Mass Transfer 21:655–58
    [Google Scholar]
  4. Bewley TR. 2001. Flow control: new challenges for a new renaissance. Prog. Aerosp. Sci. 37:21–58
    [Google Scholar]
  5. Bewley TR. 2009. A fundamental limit on the balance of power in a transpiration-controlled channel flow. J. Fluid Mech. 632:443–46
    [Google Scholar]
  6. Busse A, Sandham ND. 2012. Influence of an anisotropic slip-length boundary condition on turbulent channel flow. Phys. Fluids 24:055111
    [Google Scholar]
  7. Choi H, Moin P, Kim J. 1994. Active turbulence control for drag reduction in wall-bounded flows. J. Fluid Mech. 262:75–110
    [Google Scholar]
  8. Elnahhas A, Johnson PL. 2022. On the enhancement of boundary layer skin friction by turbulence: an angular momentum approach. J. Fluid Mech. 940:A36
    [Google Scholar]
  9. Frohnapfel B, Hasegawa Y, Quadrio M. 2012. Money versus time: evaluation of flow control in terms of energy consumption and convenience. J. Fluid Mech. 700:406–18
    [Google Scholar]
  10. Fukagata K, Iwamoto K, Kasagi N. 2002. Contribution of Reynolds stress distribution to the skin friction in wall-bounded flows. Phys. Fluids 14:L73–76
    [Google Scholar]
  11. Fukagata K, Kasagi N, Koumoutsakos P. 2006. A theoretical prediction of friction drag reduction in turbulent flow by superhydrophobic surfaces. Phys. Fluids 18:051703
    [Google Scholar]
  12. Fukagata K, Kasagi N, Sugiyama K. 2005. Feedback control achieving sublaminar friction drag. Proceedings of the 6th Symposium on the Smart Control of Turbulence143–48. https://www.nmri.go.jp/archives/turbulence/PDF/symposium/FY2004/Fukagata.pdf
    [Google Scholar]
  13. Fukagata K, Sugiyama K, Kasagi N. 2009. On the lower bound of net driving power in controlled duct flows. Physica D 238:1082–86
    [Google Scholar]
  14. Gad-el-Hak M. 1996. Modern developments in flow control. Appl. Mech. Rev. 49:365–79
    [Google Scholar]
  15. Gatti D, Cimarelli A, Hasegawa Y, Frohnapfel B, Quadrio M. 2018. Global energy fluxes in fully-developed turbulent channels with flow control. J. Fluid Mech. 857:345–73
    [Google Scholar]
  16. Geankoplis CJ. 2018. Transport Processes and Separation Process Principles Boston: Pearson. , 5th ed..
  17. Gomez T, Flutet V, Sagaut P. 2009. Contribution of Reynolds stress distribution to the skin friction in compressible turbulent channel flows. Phys. Rev. E 79:035301
    [Google Scholar]
  18. Hasegawa Y, Kasagi N. 2011. Dissimilar control of momentum and heat transfer in a fully developed turbulent channel flow. J. Fluid Mech. 683:57–93
    [Google Scholar]
  19. Hasegawa Y, Quadrio M, Frohnapfel B. 2014. Numerical simulation of turbulent duct flows with constant power input. J. Fluid Mech. 750:191–209
    [Google Scholar]
  20. Higashi K, Mamori H, Fukagata K. 2011. Simultaneous control for friction drag reduction and heat transfer augmentation by traveling wave-like blowing/suction. Comput. Therm. Sci. 3:521–30
    [Google Scholar]
  21. Hœpffner J, Fukagata K. 2009. Pumping or drag reduction?. J. Fluid Mech. 635:171–87
    [Google Scholar]
  22. Hou Y, Sommandepalli VSR, Mungal MG. 2006. A technique to determine total shear stress and polymer stress profiles in drag reduced boundary layer flows. Exp. Fluids 40:589–600
    [Google Scholar]
  23. Iwamoto K, Fukagata K, Kasagi N, Suzuki Y. 2005. Friction drag reduction achievable by near-wall turbulence manipulation at high Reynolds numbers. Phys. Fluids 17:011702
    [Google Scholar]
  24. Jovanović MR. 2021. From bypass transition to flow control and data-driven turbulence modeling: an input–output viewpoint. Annu. Rev. Fluid Mech. 53:311–45
    [Google Scholar]
  25. Jung WJ, Mangiavacchi N, Akhavan R. 1992. Suppression of turbulence in wall-bounded flows by high-frequency spanwise oscillations. Phys. Fluids A 4:1605–7
    [Google Scholar]
  26. Kaithakkal AJ, Kametani Y, Hasegawa Y. 2020. Dissimilarity between turbulent heat and momentum transfer induced by a streamwise travelling wave of wall blowing and suction. J. Fluid Mech. 886:A29
    [Google Scholar]
  27. Kametani Y, Fukagata K. 2011. Direct numerical simulation of spatially developing turbulent boundary layers with uniform blowing or suction. J. Fluid Mech. 681:154–72
    [Google Scholar]
  28. Kang S, Choi H. 2000. Active wall motions for skin-friction drag reduction. Phys. Fluids 12:3301–4
    [Google Scholar]
  29. Karniadakis GE, Choi KS. 2003. Mechanisms on transverse motions in turbulent wall flows. Annu. Rev. Fluid Mech. 35:45–62
    [Google Scholar]
  30. Kasagi N, Hasegawa Y, Fukagata K, Iwamoto K. 2012. Control of turbulent transport: less friction and more heat transfer. J. Heat Transf. 134:031009
    [Google Scholar]
  31. Kasagi N, Suzuki Y, Fukagata K. 2009. Microelectromechanical system-based feedback control of turbulence for skin friction reduction. Annu. Rev. Fluid Mech. 41:231–51
    [Google Scholar]
  32. Kim J. 2003. Control of turbulent boundary layers. Phys. Fluids 15:1093–105
    [Google Scholar]
  33. Kim J, Bewley TR. 2007. A linear systems approach to flow control. Annu. Rev. Fluid Mech. 39:383–417
    [Google Scholar]
  34. Koganezawa S, Mitsuishi A, Shimura T, Iwamoto K, Mamori H, Murata A. 2019. Pathline analysis of traveling wavy blowing and suction control in turbulent pipe flow for drag reduction. Int. J. Heat Fluid Flow 77:388–401
    [Google Scholar]
  35. Kornilov VI. 2015. Current state and prospects of researches on the control of turbulent boundary layer by air blowing. Prog. Aerosp. Sci. 76:1–23
    [Google Scholar]
  36. Kühnen J, Song B, Scarselli D, Budanur NB, Riedl M et al. 2018. Destabilizing turbulence in pipe flow. Nat. Phys. 14:386–90
    [Google Scholar]
  37. Lee C, Min T, Kim J. 2008. Stability of a channel flow subject to wall blowing and suction in the form of a traveling wave. Phys. Fluids 20:101513
    [Google Scholar]
  38. Lieu BK, Moarref R, Jovanović. 2010. Controlling the onset of turbulence by streamwise travelling waves. Part 2. Direct numerical simulation. J. Fluid Mech. 663:100–19
    [Google Scholar]
  39. Lighthill J. 1978. Acoustic streaming. J. Sound Vib. 61:391–418
    [Google Scholar]
  40. Luchini P. 2008. Acoustic streaming and lower-than-laminar drag in controlled channel flow. Progress in Industrial Mathematics at ECMI 2006 LL Bonilla, M Moscoso, G Platero, JM Vega 169–77. Berlin: Springer
    [Google Scholar]
  41. Mamori H, Fukagata K, Hœpffner J. 2010. The phase relationship in laminar channel flow controlled by traveling wave-like blowing or suction. Phys. Rev. E 81:046304
    [Google Scholar]
  42. Mamori H, Iwamoto K, Murata A. 2014. Effect of the parameters of traveling waves created by blowing and suction on the relaminarization phenomena in fully developed turbulent channel flow. Phys. Fluids 26:015101
    [Google Scholar]
  43. Marensi E, Ricco P. 2017. Growth and wall-transpiration control of nonlinear unsteady Görtler vortices forced by free-stream vortical disturbances. Phys. Fluids 29:114106
    [Google Scholar]
  44. Marusic I, Joseph DD, Mahesh K. 2007. Laminar and turbulent comparisons for channel flow and flow control. J. Fluid Mech. 570:467–77
    [Google Scholar]
  45. Min T, Kang SM, Speyer JL, Kim J. 2006. Sustained sub-laminar drag in a fully developed channel flow. J. Fluid Mech. 558:309–18
    [Google Scholar]
  46. Min T, Kim J. 2004. Effects of hydrophobic surface on skin-friction drag. Phys. Fluids 16:L55–58
    [Google Scholar]
  47. Miura S, Ohashi M, Fukagata K, Tokugawa N. 2021. Drag reduction by uniform blowing on the pressure surface of an airfoil. AIAA J. 60:2241–50
    [Google Scholar]
  48. Moarref R, Jovanović MR. 2010. Controlling the onset of turbulence by streamwise travelling waves. Part 1. Receptivity analysis. J. Fluid Mech. 663:70–99
    [Google Scholar]
  49. Modesti D, Pirozzoli S, Orlandi P, Grasso F. 2018. On the role of secondary motions in turbulent square duct flow. J. Fluid Mech. 847:R1
    [Google Scholar]
  50. Moin P, Bewley T. 1994. Feedback control of turbulence Appl. Mech. Rev. 47:S3–13
    [Google Scholar]
  51. Monte S, Sagaut P, Gomez T. 2011. Analysis of turbulent skin friction generated in flow along a cylinder. Phys. Fluids 23:065106
    [Google Scholar]
  52. Nabae Y, Kawai K, Fukagata K. 2020. Prediction of drag reduction effect by streamwise traveling wave-like wall deformation in turbulent channel flow at practically high Reynolds numbers. Int. J. Heat Fluid Flow 82:108550
    [Google Scholar]
  53. Nakanishi R, Mamori H, Fukagata K. 2012. Relaminarization of turbulent channel flow using traveling wave-like wall deformation. Int. J. Heat Fluid Flow 35:152–59
    [Google Scholar]
  54. Pamiès M, Garnier E, Merlen A, Sagaut P. 2007. Response of a spatially developing turbulent boundary layer to active control strategies in the framework of opposition control. Phys. Fluids 19:108102
    [Google Scholar]
  55. Peet Y, Sagaut P. 2009. Theoretical prediction of turbulent skin friction on geometrically complex surfaces. Phys. Fluids 21:105105
    [Google Scholar]
  56. Quadrio M. 2011. Drag reduction in turbulent boundary layers by in-plane wall motion. Philos. Trans. R. Soc. A 369:1428–42
    [Google Scholar]
  57. Renard N, Deck S. 2016. A theoretical decomposition of mean skin friction generation into physical phenomena across the boundary layer. J. Fluid Mech. 790:339–67
    [Google Scholar]
  58. Ricco P, Skote M. 2022. Integral relations for the skin-friction coefficient of canonical flows. J. Fluid Mech. 943:A50
    [Google Scholar]
  59. Ricco P, Skote M, Leschziner MA. 2021. A review of turbulent skin-friction drag reduction by near-wall transverse forcing. Prog. Aerosp. Sci. 123:100713
    [Google Scholar]
  60. Riley N. 2001. Steady streaming. Annu. Rev. Fluid Mech. 33:43–65
    [Google Scholar]
  61. Robinson SK. 1991. Coherent motions in the turbulent boundary layer. Annu. Rev. Fluid Mech. 23:601–39
    [Google Scholar]
  62. Rothstein JP. 2010. Slip on superhydrophobic surfaces. Annu. Rev. Fluid Mech. 42:89–109
    [Google Scholar]
  63. Sbragaglia M, Sugiyama K. 2007. Boundary induced nonlinearities at small Reynolds numbers. Physica D 228:140–47
    [Google Scholar]
  64. Shen L, Zhang X, Yue DKP, Triantafyllou MS. 2003. Turbulent flow over a flexible wall undergoing a streamwise traveling wave motion. J. Fluid Mech. 484:197–221
    [Google Scholar]
  65. Stevenson T. 1963. A law of the wall for turbulent boundary layers with suction and injection Rep. Aero No. 166 Coll. Aeronaut. Cranfield Cranfield, UK:
  66. Suzuki I, Shimura T, Mitsuishi A, Iwamoto K, Murata A. 2019. Experimental study on drag reduction effect with traveling wave control using PIV measurement. Proceedings of the ASME-JSME-KSME 2019 8th Joint Fluids Engineering Conference, Vol. 1 Fluid Mechanics Pap. V001T01A002 New York: ASME
    [Google Scholar]
  67. Taneda S, Tomonari Y. 1973. An experiment on the flow around a waving plate. J. Phys. Soc. Jpn. 36:1683–89
    [Google Scholar]
  68. Türk S, Daschiel G, Stroh A, Hasegawa Y, Frohnapfel B. 2014. Turbulent flow over superhydrophobic surfaces with streamwise grooves. J. Fluid Mech. 747:186–217
    [Google Scholar]
  69. Uchino K, Fukagata K. 2013. Direct numerical simulation of heat transfer control using traveling wave-like wall deformation. Proceedings of the 27th CFD Symposium, Nagoya, Japan, Dec. 17–19 Pap. C06-4 (in Japanese)
    [Google Scholar]
  70. Uekusa R, Kawagoe A, Nabae Y, Fukagata K. 2020. Resolvent analysis of turbulent channel flow with manipulated mean velocity profile. J. Fluid Sci. Technol. 15:JFST0014
    [Google Scholar]
  71. Xu M, Yu N, Kim J, Kim CJ. 2021. Superhydrophobic drag reduction in high-speed towing tank. J. Fluid Mech. 908:A6
    [Google Scholar]
  72. Yamamoto A, Hasegawa Y, Kasagi N. 2013. Optimal control of dissimilar heat and momentum transfer in a fully developed turbulent channel flow. J. Fluid Mech. 733:189–220
    [Google Scholar]
  73. Yoon M, Ahn J, Hwang J, Sung HJ. 2016. Contribution of velocity-vorticity correlations to the frictional drag in wall-bounded turbulent flows. Phys. Fluids 28:081702
    [Google Scholar]
  74. Yoshida Y, Mitsuishi A, Shimura T, Iwamoto K, Murata A. 2022. Experimental study on traveling wave control for drag reduction of zero-pressure-gradient turbulent boundary layer flow Paper presented at 32nd International Symposium on Transport Phenomena Tianjin, China: Mar. 19–22, Pap. 19
  75. Yoshino T, Suzuki Y, Kasagi N. 2008. Drag reduction of turbulence air channel flow with distributed micro sensors and actuators. J. Fluid Sci. Technol. 3:137–48
    [Google Scholar]
  76. Yu B, Li F, Kawaguchi Y. 2004. Numerical and experimental investigation of turbulent characteristics in a drag-reducing flow with surfactant additives. Int. J. Heat Fluid Flow 25:961–74
    [Google Scholar]
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