Skip to main content
Log in

Reynolds number dependence of flow past a shallow open cavity

  • Article
  • Published:
Science China Technological Sciences Aims and scope Submit manuscript

Abstract

Measurements were carried out in a shallow open cavity with particle image velocimetry technique. The cavity has a length- to-depth ratio of 4:1, and the upstream inflow conditions include laminar, transient, and turbulent regimes at seven different Reynolds numbers. The measured instantaneous velocities were analyzed through ensemble average, vortex extraction, and proper orthogonal decomposition (POD) to investigate overall flow circulations, Reynolds stress distribution, spanwise vortex population, and the characteristics of the POD modes. The results reveal distinctive Reynolds number dependence of the cavity flow, e.g. an increase in Reynolds number results in constant migration of the overall circulation, enhancement of Reynolds stress, reduction of correlation between vortex and Reynolds stress, and decrease of fractional energy of the characteristic POD modes. Finally, a phenomenological model was proposed to describe various features of cavity flow.

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. Haigermoser C. Application of an acoustic analogy to PIV data from rectangular cavity flows. Exp Fluids, 2009, 47: 145–157

    Article  Google Scholar 

  2. Faure T M, Pastur L, Lusseyran F, et al. Three-dimensional centrifugal instabilities development inside a parallelepipedic open cavity of various shape. Exp Fluids, 2009, 47: 395–410

    Article  Google Scholar 

  3. Haigermoser C, Scarano F, Onorato M. Investigation of the flow in a rectangular cavity using tomographic and time-resolved PIV. In: Proceedings of the 26th international congress of the aeronautical sciences (ICAS). Ancorage, 2008. 14–19

    Google Scholar 

  4. Özsoy E, Rambaud P, Stitou A, et al. Vortex characteristics in laminar cavity flow at very low Mach number. Exp Fluids, 2005, 38: 133–145

    Article  Google Scholar 

  5. Lin J C, Rockwell D. Organized oscillations of initially turbulent flow past a cavity. AIAA J, 2001, 39: 1139–1151

    Article  Google Scholar 

  6. Wang H, Wang Z, Sun M, et al. Nonlinear analysis of combustion oscillations in a cavity-based supersonic combustor. Sci China Tech Sci, 2013, 56:1093–1101

    Article  Google Scholar 

  7. Sarohia V. Experimental investigation of oscillations in flows over shallow cavities. AIAA J, 1977, 15: 984–991

    Article  Google Scholar 

  8. Faure T M, Adrianos P, Lusseyran F, et al. Visualizations of the flow inside an open cavity at medium range Reynolds numbers. Exp Fluids, 2007, 42: 169–184

    Article  Google Scholar 

  9. Zdanski P S B, Ortega M A, Fico Jr N G C R. Numerical study of the flow over shallow cavities. Comput Fluids, 2003, 32: 953–974

    Article  MATH  Google Scholar 

  10. Manovski P, Giacobello M, Soria J. Particle image velocimetry measurements over an aerodynamically open two-dimensional cavity. In: 16th Australasian Fluid Mechanics Conference. Crown Plaza, Gold Coast, 2007, 677–683

    Google Scholar 

  11. Grace S M, Dewar W G, Wroblewski D E. Experimental investigation of the flow characteristics within a shallow wall cavity for both laminar and turbulent upstream boundary layers. Exp Fluids, 2004, 36: 791–804

    Article  Google Scholar 

  12. Ding D, Wu S. Direct numerical simulation of turbulent flow over backward-facing at high Reynolds numbers. Sci China Tech Sci, 2012, 55: 3213–3222

    Article  MathSciNet  Google Scholar 

  13. Holman J P. Heat Transfer. New York: McGraw-Hill, 1986. 210

    Google Scholar 

  14. Scarano F. Iterative image deformation methods in PIV. Meas Sci Technol, 2002, 13: R1–R19

    Article  Google Scholar 

  15. Astarita T, Cardone G. Analysis of interpolation schemes for image deformation methods in PIV. Exp Fluids, 2005, 38: 233–243

    Article  Google Scholar 

  16. Forliti D J, Strykowski P J, Debatin K. Bias and precision errors of digital particle image velocimetry. Exp Fluids, 2000, 28: 436–447

    Article  Google Scholar 

  17. Astarita T. Analysis of velocity interpolation schemes for image deformation methods in PIV. Exp Fluids, 2008, 45: 257–266

    Article  Google Scholar 

  18. Westerweel J, Scarano F. Universal outlier detection for PIV data. Exp Fluids, 2005, 39: 1096–1100

    Article  Google Scholar 

  19. Efron B, Tibshirani R. An Introduction to the Bootstrap. New York: Chapman and Hall, 1993. 27–36

    Book  MATH  Google Scholar 

  20. Zhou J, Adrian R J, Balachandar S, et al. Mechanisms for generating coherent packets of hairpin vortices in channel flow. J Fluid Mech, 1999, 387: 353–396

    Article  MATH  MathSciNet  Google Scholar 

  21. Jeong J, Hussain F. On the identification of a vortex. J Fluid Mech, 1995, 285: 69–94

    Article  MATH  MathSciNet  Google Scholar 

  22. Chong M S, Perry A E, Cantwell B J. A general classification of three-dimensional flow fields. Phys Fluids, 1990, 2: 408–420

    Article  MathSciNet  Google Scholar 

  23. Hunt J C R, Wray A A, Moin P. Eddies, streams, and convergence zones in turbulent flows. In: Proceedings of the Summer Program, Center of Turbulence Research. NASA Ames/Stanford University, USA, 1988. 193–208

    Google Scholar 

  24. Wu Y, Christensen K T. Population trends of spanwise vortices in wall turbulence. J Fluid Mech, 2006, 568: 55–76

    Article  MATH  Google Scholar 

  25. Zhong Q, Li D, Chen Q, et al. Coherent structure models for open channel flows (in Chinese). J Tsinghua Univ (Sci & Tech), 2012, 52: 730–737

    Google Scholar 

  26. Shinneeb A, Bugg J D, Balachandar R. Quantitative investigation of vortical structures in the near-exit region of an axisymmetric turbulent jet. J Turbul, 2008, 9: 1–20

    Article  Google Scholar 

  27. Liu Z, Adrian R J, Hanratty T J. Large-scale modes of turbulent channel flow: transport and structure. J Fluid Mech, 2001, 448: 53–80

    Article  MATH  Google Scholar 

  28. Holmes P, Lumley J L, Berkooz G. Turbulence, Coherent Structures, Dynamical Systems and Symmetry. New York: Cambridge Univ Press, 1996. 86–91

    Book  MATH  Google Scholar 

  29. Pastur L R, Lusseyran F, Fraigneau Y, et al. Determining the spectral signature of spatial coherent structures in an open cavity flow. Phys Rev E, 2005, 72: 65301

    Article  Google Scholar 

  30. Kang W, Sung H J. Large-scale structures of turbulent flows over an open cavity. J Fluid Struct, 2009, 25: 1318–1333

    Article  Google Scholar 

  31. Shinneeb A. Confinement Effects in Shallow-Water Jets. Dissertation for the Doctoral Degree. Saskatoon, Canada: University of Saskatchewan, 2006

    Google Scholar 

  32. Uijttewaal W S J, Lehmann D, Van Mazijk A. Exchange processes between a river and its groyne fields: Model experiments. J Hydraul Eng-ASCE, 2001, 127: 928–936

    Article  Google Scholar 

  33. Sanjou M, Akimoto T, Okamoto T. Three-dimensional turbulence structure of rectangular side-cavity zone in open-channel streams. Intl J River Basin Management, 2012, 10: 293–305

    Article  Google Scholar 

  34. Ghia U, Ghia K N, Shin C T. High-Resolutions for incompressible flow using the Navier-Stokes equations and a multigrid method. J Comput Phys, 1982, 48: 387–411

    Article  MATH  Google Scholar 

  35. Yossef M F M, de Vriend H J. Flow details near river groynes: Experimental investigation. J Hydraul Eng-ASCE, 2011, 137: 504–516

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to DanXun Li.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Chen, H., Zhong, Q., Wang, X. et al. Reynolds number dependence of flow past a shallow open cavity. Sci. China Technol. Sci. 57, 2161–2171 (2014). https://doi.org/10.1007/s11431-014-5649-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11431-014-5649-3

Keywords

Navigation