Skip to main content
SpringerLink
Log in

Experimental investigation of vortex rings impinging on inclined surfaces

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

Abstract

Vortex–ring interactions with oblique boundaries were studied experimentally to determine the effects of plate angle on the generation of secondary vorticity, the evolution of the primary vorticity and secondary vorticity as they interact near the boundary, and the associated energy dissipation. Vortex rings were generated using a mechanical piston-cylinder vortex ring generator at jet Reynolds numbers 2,000–4,000 and stroke length to piston diameter ratios (L/D) in the range 0.75–2.0. The plate angle relative to the initial axis of the vortex ring ranged from 3 to 60°. Flow analysis was performed using planar laser-induced fluorescence (PLIF), digital particle image velocimetry (DPIV), and defocusing digital particle tracking velocimetry (DDPTV). Results showed the generation of secondary vorticity at the plate and its subsequent ejection into the fluid. The trajectories of the centers of circulation showed a maximum ejection angle of the secondary vorticity occurring for an angle of incidence of 10°. At lower incidence angles (<20°), the lower portion of the ring, which interacted with the plate first, played an important role in generation of the secondary vorticity and is a key reason for the maximum ejection angle for the secondary vorticity occurring at an incidence angle of 10°. Higher Reynolds number vortex rings resulted in more rapid destabilization of the flow. The three-dimensional DDPTV results showed an arc of secondary vorticity and secondary flow along the sides of the primary vortex ring as it collided with the boundary. Computation of the moments and products of kinetic energy and vorticity magnitude about the centroid of each vortex ring showed increasing asymmetry in the flow as the vortex interaction with the boundary evolved and more rapid dissipation of kinetic energy for higher incidence angles.

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

Similar content being viewed by others

References

  • Geiser J, Kiger K (2010) A simplified analog for a rotocraft-in-ground-effect flow using a forced impinging jet. Bull Am Phys Soc 55:51

    Google Scholar 

  • Glezer A, Amitay M (2002) Synthetic jets. Annu Rev Fluid Mech 34:503–529

    Article  MathSciNet  Google Scholar 

  • Kobus H, Leister P, Westrich B (1979) Flow field and scouring effects of steady and pulsating jets impinging on a movable bed. J Hyd Res 17:175–192

    Article  Google Scholar 

  • Lim TT (1989) An experimental study of a vortex ring interacting with an inclined wall. Exp Fluids 7:453–463

    Article  Google Scholar 

  • Lim TT, Nickels TB (1995) Vortex rings. In: Green SI (ed) Fluid vortices. Kluwer Academics Publishers, Dordrecht, pp 95–153

    Chapter  Google Scholar 

  • McCormick DC (2000) Boundary layer separation control with directed synthetic jets. AIAA paper 2000-0519

  • Mohseni K, Ran H, Colonus T (2001) Numerical experiments on vortex ring formation. J Fluid Mech 430:267–282

    Article  MATH  Google Scholar 

  • Naaktgeboren C (2007) Interaction of pressure and omentum driven flows with thin porous media: experiments and modeling. PhD dissertation, Southern Methodist University, Dallas, TX

  • Pedochi F, Martin JE, Garcia MH (2008) Inexpensive fluorescent particles for large-scale experiments using particle image velocimetry. Exp Fluids 45:183–186

    Article  Google Scholar 

  • Pereira F, Gharib M, Dabiri D, Modarress D (2000) Defocusing digital particle image velocimetry: a 3-component 3-dimensional DPIV measurement technique. Application to bubbly flows. Experiments in Fluids [Suppl.] S78–S84

  • Pereira F, Stuer H, Graff EC, Gharib M (2006) Two-frame 3D particle tracking. Meas Sci Technol 17:1680–1692

    Article  Google Scholar 

  • Raffel M, Willert C, Kompenhans J (1998) Particle image velocimetry: a practical guide. Springer, Berlin

    Google Scholar 

  • Shariff K, Leonard A (1992) Vortex rings. Annu Rev Fluid Mech 24:235–279

    Article  MathSciNet  Google Scholar 

  • Shariff HS, Zumbrunnen DA (1994) Effect of flow pulsation on the cooling of effectiveness of an impinging jet. J Heat Trans 116:886–895

    Article  Google Scholar 

  • Troolin DR, Longmire EK (2009) Volumetric velocity measurements of vortex rings from inclined exits. Exp Fluids. doi:10.1007/s00348-009-0745-z

  • Verzicco R, Orlandi P (1994) Normal and oblique collisions of a vortex ring with a wall. Meccanica 29:383–391

    Article  MATH  Google Scholar 

  • Walker JDA, Smith CR, Cerra AW, Doligalski TL (1987) The impact of a vortex ring on a wall. J Fluid Mech 181:99–140

    Article  Google Scholar 

  • Westerweel J, Dabiri J, Gharib M (1997) The effect of a discrete window offset on the accuracy of cross-correlation analysis of digital PIV recordings. Exp Fluids 23:20–28

    Article  Google Scholar 

  • Willert CE, Gharib M (1991) Digital particle image velocimetry. Exp Fluids 10:181–193

    Article  Google Scholar 

  • Yamada H, Kohsaka T, Yamabe H, Matsui T (1982) Flowfield produced by a vortex ring near a plane wall. J Phys Soc Jpn 51(5):1663–1670

    Article  Google Scholar 

  • Yan X, Saniei N (1997) Heat transfer from an obliquely impinging circular air jet to a flat plate. Int J Heat Fluid Flow 18:591–599

    Article  Google Scholar 

Download references

Acknowledgments

This material is based on the work supported by the National Science Foundation under grant no 0821420. LDC would like to acknowledge support from a Texas Space Grant Consortium Graduate Fellowship.

Author information

Author notes

  1. Lauren D. Couch

    Present address: George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA, 30332, USA

Authors and Affiliations

  1. Department of Mechanical Engineering, Southern Methodist University, Dallas, TX, 75275, USA

    Lauren D. Couch & Paul S. Krueger

Authors
  1. Lauren D. Couch
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Paul S. Krueger
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Paul S. Krueger.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Couch, L.D., Krueger, P.S. Experimental investigation of vortex rings impinging on inclined surfaces. Exp Fluids 51, 1123–1138 (2011). https://doi.org/10.1007/s00348-011-1135-x

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00348-011-1135-x

Keywords

Search

Navigation