Skip to main content
SpringerLink
Log in

Boundary layer effect on the vortex shedding of wall-mounted rectangular cylinder

  • Research Article
  • Published:
Experiments in Fluids Aims and scope Submit manuscript

Abstract

The influence of the turbulent boundary thickness on the vortex dynamics in the wake of a wall-mounted rectangular cylinder (height-to-width ratio h/d = 4) is investigated experimentally for a Reynolds number of 12,000 and two boundary layers (BL) of thickness δ/d = 0.72 (natural BL) and 2.56 (tripped BL). The interaction between the horseshoe vortex system (HVS) and the shedding of large-scale wake structures is considered. Time-resolved PIV measurements are performed in the wall-obstacle junction region. New insight into the physics of these flows is gained from studying the spatio-temporal evolution of the vortical structures and their interaction. It is found that δ/d plays an important role in modifying the flow topology around the rectangular cylinder through the interaction between the horseshoe vortices and shed vortices. A proper orthogonal decomposition analysis shows that the dynamics of the HVS strongly affects the topology of the shed vortices near the wall for the tripped boundary layer. Both the backflow and the zero-flow modes of the HVS have particular influence on the symmetry of the horseshoe legs and its momentum content. A stronger effect of the HVS is present for the tripped BL close to the wall where the kinetic energy content of these two modes is higher as compared to the natural BL.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19
Fig. 20
Fig. 21
Fig. 22
Fig. 23

Similar content being viewed by others

References

  • Bandyopadhyay PR (1986) Review of mean flow in turbulent boundary layers disturbed to alter skin friction. Trans ASME J Fluid Eng 108:127–140

    Article  Google Scholar 

  • Berkooz G, Holmes P, Lumley JL (1993) The proper orthogonal decomposition in the analysis of turbulent flows. Annu Rev Fluid Mech 25(9):539

    Article  MathSciNet  Google Scholar 

  • Bourgeois JA, Sattari P, Martinuzzi RJ (2011) Alternating half-loop shedding in the turbulent wake of a finite surface-mounted square cylinder with a thin boundary layer. Phys Fluids 23(9):095101

    Article  Google Scholar 

  • Delville J, Ukeiley L, Cordier L, Bonnet JP, Glauser M (1999) Examination of large-scale structures in a turbulent mixing layer. part 1. proper orthogonal decomposition. J Fluid Mech 391:91

    Article  MATH  MathSciNet  Google Scholar 

  • Devenport WJ, Simpson RL (1990) Time-dependent and time-averaged turbulence structure near the nose of a wing-body junction. J Fluid Mech 210:23–55

    Article  Google Scholar 

  • Erm L, Joubert P (1991) Low reynolds-number turbulent boundary layers. J Fluid Mech 230:1–44

    Article  Google Scholar 

  • Holmes P, Lumley JL, Berkooz G (1996) Turbulence, coherent structures, dynamical systems and symmetry, cambridge monographs on mechanics. Cambridge University Press, Cambridge

    Book  Google Scholar 

  • Hosseini Z, Bourgeois JA, Martinuzzi RJ (2012) Wall-mounted finite cylinder wake structure modification due to boundary layer-wake interaction: Half-loop and full-loop coherent structure topologies. In: Seventh international colloquium on bluff body aerodynamics and applications (BBAA7), Shanghai, China, 2–6 September

  • Hosseini Z, Bourgeois JA, Martinuzzi RJ (2013) Large-scale structures in dipole and quadrupole wakes of a wall-mounted finite rectangular cylinder. Exp Fluids 54:1595

    Article  Google Scholar 

  • Kirkil G, Constantinescu G (2012) A numerical study of the laminar necklace vortex system and its effect on the wake for a circular cylinder. Phys Fluids 24:073602

    Article  Google Scholar 

  • Koken M, Constantinescu G (2009) An investigation of the dynamics of coherent strutcures in a turbulent channel flow with a vertical sidewall obstruction. Phys Fluids 21:085104

    Article  Google Scholar 

  • Larousse A, Martinuzzi R, Tropea C (1991) Flow around surface-mounted, three-dimensional obstacles.In: Symposium on turbulent shear flows, 8th, Munich, Federal Republic of Germany 1(A92–40051):16–34

  • Lin C, Lai WJ, Chang KA (2003) Simultaneous particle image velocimetry and laser doppler velocimetry measurements of periodical oscillatory horseshoe vortex system near square cylinder-base plate juncture. J Eng Mech 129(10):1173–1188

    Article  Google Scholar 

  • Lumley J (1967) The structure of inhomogeneous turbulent flows. Atmos Turbul Radio Wave Propag pp 166–178

  • Paik J, Escauriaza C, Sotiropoulos F (2007) On the bimodal dynamics of the turbulent horseshoe vortex system in a wing-body junction. Phys Fluids 19:045107

    Article  Google Scholar 

  • Prasad A, Adrian R, Landreth C, Offutt P (1992) Effect of resolution on the speed and accuracy of particle image velocimetry interrogation. Exp Fluids 13:105

    Article  Google Scholar 

  • Roulund A, Sumer BM, Fredsoe J, Michelsen J (2005) Numerical and experimental investigation of flow and scour around a circular pile. J Fluid Mech 534:351–401

    Article  MATH  MathSciNet  Google Scholar 

  • Seal C (1993) Experimental investigation of the laminar necklace vortex system for a rectangular block-flat plate junction. Master thesis, Lehigh University

  • Sirovich L, Kirby M (1987) Low-dimensional procedure for the characterization of human faces. J Opt Sac Am A4:519–24

    Article  Google Scholar 

  • Spalart PR (1988) Direct simulation of a turbulent boundary layerup to \(Re_{\Theta } = 1410\). J Fluid Mech 187:61–98

    Article  MATH  Google Scholar 

  • Sc V, Smith CR, Rockwell D (1997) Dynamics of the vorticity distribution in endwall junctions. AIAA J 35(6):1041–1047. doi:10.2514/2.192

    Article  Google Scholar 

  • Visball M (1991) Structure of laminar juncture flows. AIAA J 29:1273–1282

    Article  Google Scholar 

  • Wang H, Zhou Z (2009) The finite-length square cylinder near wake. J Fluid Mech 638:453–490

    Article  MATH  Google Scholar 

  • Wang H, Zhou Z, Chan C, Lam K (2006) Effect of initial conditions on interaction between a boundary layer and a wall-mounted finite-length-cylinder wake. Phys Fluids 18(6):065106

    Article  Google Scholar 

  • Wei QD, Chen G, Du XD (2001) An experimental study on the structure of juncture flows. J Vis 3(4):341–348

    Article  Google Scholar 

  • Westerweel J (2000) Theoretical analysis of the measurement precision in particle image velocimetry. Exp Fluids 29:S3–S12

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mechanical Engineering Department, University of Calgary, 2500 University Drive, Calgary, AB, T2N 1N4, Canada

    M. El Hassan, J. Bourgeois & R. Martinuzzi

Authors
  1. M. El Hassan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. J. Bourgeois
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. R. Martinuzzi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. El Hassan.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

El Hassan, M., Bourgeois, J. & Martinuzzi, R. Boundary layer effect on the vortex shedding of wall-mounted rectangular cylinder. Exp Fluids 56, 33 (2015). https://doi.org/10.1007/s00348-014-1882-6

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s00348-014-1882-6

Keywords

Search

Navigation