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Drag reduction by the introduction of shear-free surfaces in a turbulent channel flow

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Abstract

In this paper, a novel technique for drag reduction in turbulent flows is presented. The technique involves the modification of the large scales of turbulent flows and is a passive approach. The lateral transport of momentum, which is a dominant mechanism in turbulence, is attenuated by the introduction of moving shear-free surfaces (SFSes). This brings about a reduction in the drag. 2D simulations have been carried out for a turbulent channel flow using shear stress transport (SST) Reynolds-averaged Navier–Stokes (RANS) model and validated with the available experimental results. The interaction between the plates and the fluid is two way, and is enforced either by the use of a rigid body solver with moving mesh, or by considering the SFSes to be fixed at particular locations and then updating the velocities of the plates at those locations. The latter is equivalent to solving a fully developed flow in the moving mesh case. The number, shape, size and placement of the SFSes strongly influence the amount of drag reduction. The phenomenon is confirmed to be governed by a ‘slow’ turbulent time scale. Further, the efficacy of the method is seen to depend on the ratio of two time scales – an advection time scale indicating the ‘resident time’ near an SFS, and the turbulent time scale. In addition, the effectiveness of the approach is improved by judicious placement of multiple SFSes in the flow.

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References

  1. Lumley J and Blossey P 1998 Control of turbulence. Annu. Rev. Fluid Mech. 30: 311–327

    Article  MathSciNet  Google Scholar 

  2. Karniadakis G E and Choi K S 2003 Mechanisms on transverse motions in turbulent wall flows. Annu. Rev. Fluid Mech. 35: 45–62

    Article  MathSciNet  MATH  Google Scholar 

  3. Berger T, Kim J, Lee C and Lim J 2000 Turbulent boundary layer control utilizing the Lorentz force. Phys. Fluids 12(3): 631–649

    Article  MATH  Google Scholar 

  4. Crawford C H and Karniadakis G E 1997 Reynolds stress analysis of EMHD-controlled wall turbulence, part I: streamwise forcing. Phys. Fluids 9(3): 788–806

    Article  Google Scholar 

  5. Osullivan P L and Biringen S 1998 Direct numerical simulations of low Reynolds number turbulent channel flow with EMHD control. Phys. Fluids 10(5): 1169–1181

    Article  Google Scholar 

  6. Sahlin A, Johansson A V and Alfredsson P H 1988 The possibility of drag reduction by outer layer manipulators in turbulent boundary layers. Phys. Fluids 31(10): 2814–2820

    Article  Google Scholar 

  7. Kim J and Bewley T R 2007 A linear systems approach to flow control. Annu. Rev. Fluid Mech. 39: 383–417

    Article  MathSciNet  MATH  Google Scholar 

  8. Bushnell D M, Hefner J N and Ash R L 1977 Effect of compliant wall motion on turbulent boundary layer. Phys. Fluids 20(10): S31–S48 (part II)

  9. Christodoulou C, Liu K N and Joseph D D 1991 Combined effects of riblets and polymers on drag reduction in pipes. Phys. Fluids A Fluid Dyn. 3(5): 995–996

    Article  Google Scholar 

  10. Ferrante A and Elghobashi S 2004 On the physical mechanism of drag reduction in a spatially developing turbulent boundary layer laden with microbubbles. J. Fluid Mech. 503: 345–355

    Article  MATH  Google Scholar 

  11. Pal S, Deutsch S and Merkle C L 1989 A comparison of shear stress fluctuation statistics between microbubble modified and polymer modified turbulent boundary layers. Phys. Fluids A 1(8): 1360–1362

    Article  Google Scholar 

  12. Sanders W C, Winkel E S, Dowling D R, Perlin M and Ceccio S L 2006 Bubble friction drag reduction in a high-Reynolds-number flat-plate turbulent boundary layer. J. Fluid Mech. 552: 353–380

    Article  MATH  Google Scholar 

  13. Xu J, Maxey M R and Karniadakis G E 2002 Numerical simulation of turbulent drag reduction using micro-bubbles. J. Fluid Mech. 468: 271–281

    Article  MATH  Google Scholar 

  14. Ogata S and Watanabe K 2002 Limiting maximum drag-reduction asymptote for the moment coefficient of a rotating disk in drag-reducing surfactant solution. J. Fluid Mech. 457: 325–337

    Article  MATH  Google Scholar 

  15. Pashkewitz J S, Dubief Y, Dimitropoulos D, Shaqfeh E S G and Moin P 2004 Numerical simulation of turbulent drag reduction using rigid fibres. J. Fluid Mech. 518: 281–317

    Article  MATH  Google Scholar 

  16. Oldroyd J G 1949 In Proceedings of the International Congress on Rheology, North-Holland, Amsterdam, sec. II, p. 130

  17. Toms B A 1949 In Proceedings of the International Congress on Rheology, North-Holland, Amsterdam, sec. II, p. 135

  18. Lumley J L 1969 Drag reduction by additives. Annu. Rev. Fluid Mech. 1: 367–384

    Article  Google Scholar 

  19. Berman N S 1978 Drag reduction by polymers. Annu. Rev. Fluid Mech. 10: 47–64

    Article  MATH  Google Scholar 

  20. Sreenivasan K R and White C M 2000 The onset of drag reduction by dilute polymer additives, and the maximum drag reduction asymptote. J. Fluid Mech. 409: 149–164

    Article  MATH  Google Scholar 

  21. Liberzon A, Guala M, Kinzelbach W and Tsinober A 2006 On the turbulent kinetic energy production and dissipation in dilute polymer solutions. Phys. Fluids 18(125101): 1–12

    MATH  Google Scholar 

  22. Cholemari M R and Srinivasan B 2011 Investigation of novel drag reduction strategies. Project report submitted to AR&DB, May 2011

  23. Lal S 2012 Flux enhancement by shear-free surfaces in a turbulent convection. MTech. Thesis, Department of Applied Mechanics, IIT, Delhi

  24. Majhi N K 2012 Drag reduction by modification of large scales of an internal turbulent flow. MTech. Thesis, Department of Applied Mechanics, IIT, Delhi

  25. RajaVamsi G 2009 Drag reduction by modifying the large scales of a turbulent channel flow. MTech. Thesis, Department of Applied Mechanics, IIT, Delhi

  26. Sahoo T 2010 Drag reduction by modifying the large scales of a turbulent flow. MTech. Thesis, Department of Applied Mechanics, IIT, Delhi

  27. Cholemari M R and Arakeri J H 2005 Experiments and a model of turbulent exchange flow in a vertical pipe. Int. J. Heat Mass Transf. 48(21): 4467–4473

    Article  Google Scholar 

  28. Cholemari M R and Arakeri J H 2009 Axially homogeneous, zero mean flow buoyancy-driven turbulence in a vertical pipe. J. Fluid Mech. 621: 69–102

    Article  MATH  Google Scholar 

  29. Menter F R 1994 Two-equation eddy-viscosity turbulence models for engineering applications. AIAA J. 32: 1598–1605

    Article  Google Scholar 

  30. Pope S B 2000 Turbulent flows. Cambridge University Press

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Correspondence to Murali R Cholemari.

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Sood, A.K., Cholemari, M.R. & Srinivasan, B. Drag reduction by the introduction of shear-free surfaces in a turbulent channel flow. Sādhanā 42, 433–445 (2017). https://doi.org/10.1007/s12046-017-0593-0

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  • DOI: https://doi.org/10.1007/s12046-017-0593-0

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