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Applied Mathematics and Mechanics

, Volume 39, Issue 9, pp 1267–1276 | Cite as

Direct numerical simulation of turbulent flows through concentric annulus with circumferential oscillation of inner wall

  • Yichen Yao
  • Chunxiao XuEmail author
  • Weixi Huang
Article

Abstract

Periodic wall oscillations in the spanwise or circumferential direction can greatly reduce the friction drag in turbulent channel and pipe flows. In a concentric annulus, the constant rotation of the inner cylinder can intensify turbulence fluctuations and enhance skin friction due to centrifugal instabilities. In the present study, the effects of the periodic oscillation of the inner wall on turbulent flows through concentric annulus are investigated by the direct numerical simulation (DNS). The radius ratio of the inner to the outer cylinders is 0.1, and the Reynolds number is 2 225 based on the bulk mean velocity Um and the half annulus gap H. The influence of oscillation period is considered. It is found that for short-period oscillations, the Stokes layer formed by the circumferential wall movement can effectively inhibit the near-wall coherent motions and lead to skin friction reduction, while for long-period oscillations, the centrifugal instability has enough time to develop and generate new vortices, resulting in the enhancement of turbulence intensity and skin friction.

Key words

turbulence drag reduction circumferential oscillation Taylor vortex 

Chinese Library Classification

O357.5 

2010 Mathematics Subject Classification

76F75 76F70 76U05 

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References

  1. [1]
    BRADSHAW, P. and PONTIKOS, N. S. Measurements in the turbulent boundary layer on an “infinite” swept wing. Journal of Fluid Mechanics, 159, 105–130 (1985)CrossRefGoogle Scholar
  2. [2]
    JUNG, W. J., MANGIAVACCHI, N., and AKHAVAN, R. Suppression of turbulence in wall-bounded flows by high-frequency spanwise oscillations. Physics of Fluids A: Fluid Dynamics, 4(8), 1605–1607 (1992)CrossRefGoogle Scholar
  3. [3]
    AKHAVAN, R., JUNG, W. J., and MANGIAVACCHI, N. Turbulence control in wall-bounded flows by spanwise oscillations. Advances in Turbulence IV, Springer, Netherlands, 299–303 (1993)Google Scholar
  4. [4]
    LAADHARI, F., SKANDAJI, L., and MOREL, R. Turbulence reduction in a boundary layer by a local spanwise oscillating surface. Physics of Fluids, 6(10), 3218–3220 (1994)CrossRefGoogle Scholar
  5. [5]
    QUADRIO, M. and RICCO, P. Critical assessment of turbulent drag reduction through spanwise wall oscillations. Journal of Fluid Mechanics, 521, 251–271 (2004)CrossRefzbMATHGoogle Scholar
  6. [6]
    CHOI, J. I., XU, C. X., and SUNG, H. J. Drag reduction by spanwise wall oscillation in wall-bounded turbulent flows. AIAA Journal, 40(5), 842–850 (2002)CrossRefGoogle Scholar
  7. [7]
    QUADRIO, M., RICCO, P., and VIOTTI, C. Streamwise-travelling waves of spanwise wall velocity for turbulent drag reduction. Journal of Fluid Mechanics, 627, 161–178 (2009)MathSciNetCrossRefzbMATHGoogle Scholar
  8. [8]
    QUADRIO, M. and RICCO, P. The laminar generalized Stokes layer and turbulent drag reduction. Journal of Fluid Mechanics, 667, 135–157 (2011)MathSciNetCrossRefzbMATHGoogle Scholar
  9. [9]
    CHOI, K. S., DEBISSCHOP, J. R., and CLAYTON, B. R. Turbulent boundary-layer control by means of spanwise-wall oscillation. AIAA Journal, 36(7), 1157–1163 (1998)CrossRefGoogle Scholar
  10. [10]
    CHOI, K. S. Near-wall structure of turbulent boundary layer with spanwise-wall oscillation. Physics of Fluids, 14(7), 2530–2542 (2002)CrossRefzbMATHGoogle Scholar
  11. [11]
    CHUNG, S. Y., RHEE, G. H., and SUNG, H. J. Direct numerical simulation of turbulent concentric annular pipe flow: part 1, flow field. International Journal of Heat and Fluid Flow, 23(4), 426–440 (2002)CrossRefGoogle Scholar
  12. [12]
    CHUNG, S. Y. and SUNG, H. J. Large-eddy simulation of turbulent flow in a concentric annulus with rotation of an inner cylinder. International Journal of Heat and Fluid Flow, 26(2), 191–203 (2005)MathSciNetCrossRefGoogle Scholar
  13. [13]
    JUNG, S. Y. and SUNG, H. J. Characterization of the three-dimensional turbulent boundary layer in a concentric annulus with a rotating inner cylinder. Physics of Fluids, 18(11), 115102 (2006)CrossRefzbMATHGoogle Scholar
  14. [14]
    KARNIADAKIS, G. E., ISRAELI, M., and ORSZAG, S. A. High-order splitting methods for the incompressible Navier-Stokes equations. Journal of Computational Physics, 97(2), 414–443 (1991)MathSciNetCrossRefzbMATHGoogle Scholar
  15. [15]
    TOUBER, E. and LESCHZINER, M. A. Near-wall streak modification by spanwise oscillatory wall motion and drag-reduction mechanisms. Journal of Fluid Mechanics, 693, 150–200 (2012)CrossRefzbMATHGoogle Scholar

Copyright information

© Shanghai University and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Engineering MechanicsTsinghua UniversityBeijingChina

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