Applied Mathematics and Mechanics

, Volume 36, Issue 6, pp 719–728 | Cite as

Spatial relation between fluctuating wall pressure and near-wall streamwise vortices in wall bounded turbulent flow

  • Mingwei GeEmail author
  • Yingtao Zuo
  • Ying Deng
  • Yuhua Li


A new view of the spatial relation between fluctuating wall pressure and near-wall streamwise vortices (NWSV) is proposed for wall bounded turbulent flow by use of the direct numerical simulation (DNS) database. The results show that the wall region with low pressure forms just below the strong NWSV, which is mostly associated with the overhead NWSV. The wall region with high pressure forms downstream of the NWSV, which has a good correspondence with the downwash of the fluids induced by the upstream NWSV. The results provide a significant basis for the detection of NWSV.

Key words

conditional correlation fluctuating wall pressure streamwise vortices 

Chinese Library Classification


2010 Mathematics Subject Classification



Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Kim, J. Physics and control of wall turbulence for drag reduction. Philosophical Transactions of the Royal Society, A, Mathematical, Physical and Engineering Sciences, 369, 1396–1411 (2011)zbMATHCrossRefGoogle Scholar
  2. [2]
    Kim, J. and Bewley, T. R. A linear systems approach to flow control. Annual Review of Fluid Mechanics, 39, 383–417 (2007)MathSciNetCrossRefGoogle Scholar
  3. [3]
    Ricco, P. and Hahn, S. Turbulent drag reduction through rotating discs. Journal of Fluid Mechanics, 722, 267–290 (2013)zbMATHCrossRefGoogle Scholar
  4. [4]
    Kasagi, N., Suzuki, Y., and Fukagata, K. Microelectromechanical systems-based feedback control of turbulence for skin friction reduction. Annual Review of Fluid Mechanics, 41, 231–251 (2009)CrossRefGoogle Scholar
  5. [5]
    Cattafesta, L. N., III and Sheplak, M. Actuators for active flow control. Annual Review of Fluid Mechanics, 43, 247–272 (2011)CrossRefGoogle Scholar
  6. [6]
    Lee, C., Kim, J., and Choi, H. Suboptimal control of turbulent channel flow for drag reduction. Journal of Fluid Mechanics, 358, 245–258 (1998)zbMATHCrossRefGoogle Scholar
  7. [7]
    Lee, C., Kim, J., Babcock, D., and Goodman, R. Application of neural networks to turbulence control for drag reduction. Physics of Fluids, 9, 1740–1747 (1997)CrossRefGoogle Scholar
  8. [8]
    Kim, J., Choi, J., and Sung, H. J. Relationship between wall pressure fluctuations and streamwise vortices in a turbulent boundary layer. Physics of Fluids, 14, 898–901 (2002)CrossRefGoogle Scholar
  9. [9]
    Kravchenko, A. G., Choi, H., and Moin, P. On the relation of near-wall streamwise vortices to wall skin friction in turbulent boundary layers. Physics of Fluids, 5, 3307–3309 (1993)CrossRefGoogle Scholar
  10. [10]
    Xu, C. X., Zhang, Z. S., Toonder, J. M. J., and Nieuwstadt, F. T. M. Origin of high kurtosis levels in the viscous sublayer, direct numerical simulation and experiment. Physics of Fluids, 8, 1938–1944 (1996)CrossRefGoogle Scholar
  11. [11]
    Deng, B. Q. and Xu, C. X. Influence of active control on STG-based generation of streamwise vortices in near-wall turbulence. Journal of Fluid Mechanics, 710, 234–259 (2012)zbMATHMathSciNetCrossRefGoogle Scholar
  12. [12]
    Deng, B. Q., Xu, C. X., Huang, W. X., and Cui, G. X. Strengthened opposition control for skin-friction reduction in wall-bounded turbulent flows. Journal of Turbulence, 15, 122–143 (2014)CrossRefGoogle Scholar
  13. [13]
    Fang, L., Shao, L., Bertoglio, J. P., Lu, L. P., and Zhang, Z. S. The rapid-slow decomposition of the subgrid flux in inhomogeneous scalar turbulence. Journal of Turbulence, 12, 1–23 (2011)MathSciNetCrossRefGoogle Scholar
  14. [14]
    Fang, L., Shao, L., Bertoglio, J. P., Cui, G. X., Xu, C. X., and Zhang, Z. S. An improved velocity increment model based on Kolmogorov equation of filtered velocity. Physics of Fluids, 21, 065108 (2009)CrossRefGoogle Scholar
  15. [15]
    Jeong, J. and Hussain, F. On the identification of a vortex. Journal of Fluid Mechanics, 285, 69–94 (1995)zbMATHMathSciNetCrossRefGoogle Scholar
  16. [16]
    Jeong, J., Hussain, F., Schoppa, W., and Kim, J. Coherent structures near the wall in a turbulent channel flow. Journal of Fluid Mechanics, 332, 185–214 (1997)zbMATHGoogle Scholar

Copyright information

© Shanghai University and Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.State Key Laboratory of Alternate Electrical Power System with Renewable Energy SourcesNorth China Electric Power UniversityBeijingChina
  2. 2.School of AeronauticsNorthwestern Polytechnical UniversityXi’anChina

Personalised recommendations