Skip to main content
Log in

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

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  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)

    Article  MATH  Google Scholar 

  2. Kim, J. and Bewley, T. R. A linear systems approach to flow control. Annual Review of Fluid Mechanics, 39, 383–417 (2007)

    Article  MathSciNet  Google Scholar 

  3. Ricco, P. and Hahn, S. Turbulent drag reduction through rotating discs. Journal of Fluid Mechanics, 722, 267–290 (2013)

    Article  MATH  Google Scholar 

  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)

    Article  Google Scholar 

  5. Cattafesta, L. N., III and Sheplak, M. Actuators for active flow control. Annual Review of Fluid Mechanics, 43, 247–272 (2011)

    Article  Google Scholar 

  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)

    Article  MATH  Google Scholar 

  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)

    Article  Google Scholar 

  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)

    Article  Google Scholar 

  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)

    Article  Google Scholar 

  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)

    Article  Google Scholar 

  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)

    Article  MATH  MathSciNet  Google Scholar 

  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)

    Article  Google Scholar 

  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)

    Article  MathSciNet  Google Scholar 

  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)

    Article  Google Scholar 

  15. Jeong, J. and Hussain, F. On the identification of a vortex. Journal of Fluid Mechanics, 285, 69–94 (1995)

    Article  MATH  MathSciNet  Google Scholar 

  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)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mingwei Ge.

Additional information

Project supported by the National Natural Science Foundation of China (No. 11402088), the Fundamental Research Funds for the Central Universities (No. 2014MS33), and the State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources (No. LAPS15005)

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ge, M., Zuo, Y., Deng, Y. et al. Spatial relation between fluctuating wall pressure and near-wall streamwise vortices in wall bounded turbulent flow. Appl. Math. Mech.-Engl. Ed. 36, 719–728 (2015). https://doi.org/10.1007/s10483-015-1945-6

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10483-015-1945-6

Key words

Chinese Library Classification

2010 Mathematics Subject Classification

Navigation