Skip to main content
SpringerLink
Log in

Visualization of pre-set vortices in boundary layer flow over wavy surface in rectangular channel

  • Regular Paper
  • Published:
Journal of Visualization Aims and scope Submit manuscript

Abstract

Smoke-wire flow visualization is used to study the development of pre-set counter-rotating streamwise vortices in boundary layer flow over a wavy surface in a rectangular channel. The formation of the vortices is indicated by the vortical structures on the cross-sectional plane normal to the wavy surface. To obtain uniform spanwise vortex wavelength which will result in uniform vortex size, two types of spanwise disturbances were used: a series of perturbation wires placed prior and normal to the leading edge of the wavy surface, and a jagged pattern in the form of uniform triangles cut at the leading edge. These perturbation wires and jagged pattern induce low-velocity streaks that result in the formation of counter-rotating streamwise vortices that evolve downstream to form the mushroom-like structures on the cross-sectional plane of the flow. The evolution of the most amplified disturbances can be attributed to the formation of these mushroom-like structures. It is also shown that the size of the mushroom-like structures depends on the channel entrance geometry, Reynolds number, and the channel gap.

Graphical Abstract

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

Similar content being viewed by others

References

  • Ajakh A, Kestoras MD, Toe R, Peerhossaini H (1999) Influence of forced perturbation in the stagnation region on Görtler instability. AIAA J 37(12):1572–1577

    Article  Google Scholar 

  • Asai M, Floryan JM (2006) Experiments on the linear instability of flow in a wavy channel. Eur J Mech B-Fluid 25:971–986

    Article  MATH  Google Scholar 

  • Bahri F, Kohama Y, Iino J, Aota (1999) Effect of the pressure gradient on the secondary instability of Görtler flow. In: Fasel HF, Saric WS. Laminar-Turbulent Transition-IUTAM Symposium Sedona/AZ, Springer, pp 535–539

  • Budiman AC, Mitsudharmadi H, Low HT, Winoto SH (2013) Visualization of counter-rotating streamwise vortices in a rectangular channel with one-sided wavy surface. Proceeding of the 31st AIAA applied aerodynamics, paper number AIAA 2013–2533

  • Cabal A, Szumbarski J, Floryan JM (2002) Stability of flow in a wavy channel. J Fluid Mech 457:191–212

    Article  MATH  MathSciNet  Google Scholar 

  • Floryan JM (2001) Centrifugal instability of Couette flow over a wavy wall. Phys Fluids 14(1):312–322

    Article  MathSciNet  Google Scholar 

  • Floryan JM (2007) Three-dimensional instabilities of laminar flow in a rough channel and the concept of hydraulically smooth wall. Eur J Mech B-Fluid 26:305–329

    Article  MATH  Google Scholar 

  • Gschwind P, Regele A, Kottke V (1995) Sinusoidal wavy channels with Taylor–Görtler vortices. Exp Therm Fluid Sci 11:270–275

    Article  Google Scholar 

  • Mitsudharmadi H, Winoto SH, Shah DA (2004) Development of boundary-layer flow in the presence of forced wavelength Görtler vortices. Phys Fluids 16(11):3983–3996

    Article  Google Scholar 

  • Mitsudharmadi H, Winoto SH, Shah DA (2005) Secondary instability in forced wavelength Görtler vortices. Phys Fluids 17:074104

    Article  Google Scholar 

  • Nishimura T, Yano K, Yoshino T, Kawamura Y (1990) Occurrence and structure of Taylor–Görtler vortices induced in two-dimensional wavy channels for steady flow”. J Chem Eng Jpn 23(6):697–703

    Article  Google Scholar 

  • Peerhossaini H, Bahri F (1998) On the spectral distribution of the modes in non-linear Görtler instability. Exp Therm Fluid Sci 16(3):195–208

    Article  Google Scholar 

  • Tandiono, Winoto SH, Shah DA (2009) Visualizing shear stress in Görtler vortex flow. J Visual 12:195–202

    Article  Google Scholar 

  • Toe R, Ajakh A, Peerhossaini H (2002) Heat transfer enhancement by Görtler instability. Int J Heat Fluid Flow 23:194–204

    Article  Google Scholar 

  • Wortmann FX (1969) Visualization of transition. J Fluid Mech 38(3):473–480

    Article  Google Scholar 

Download references

Acknowledgments

The authors would like to express their sincere gratitude to the Temasek Laboratories, National University of Singapore for the opportunity to conduct the experiments at its Aeroscience Laboratory, and also to thank Mr. Sim Lucius and Mr. M. N. Adha bin Jamaludin for their help in setting up the experimental rig and in collecting the experimental data. The first author is a recipient of NUS Research Scholarship and would also like to thank the AUN/SEED-Net.

Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, National University of Singapore, 9 Engineering Drive 1, Singapore, 117576, Singapore

    A. C. Budiman & H. T. Low

  2. Reactive Flow Modeling Laboratory Group in Clean Combustion Research Center, King Abdullah University of Science and Technology, Thuwal, 23955, Kingdom of Saudi Arabia

    H. Mitsudharmadi

  3. Experimental Aeroscience Group, Temasek Laboratories at National University of Singapore, 5A Engineering Drive 1 #09-02, 117411, Singapore, Singapore

    Y. Bouremel

  4. Formerly at Department of Mechanical Engineering, National University of Singapore, 9 Engineering Drive 1, Singapore, 117576, Singapore

    S. H. Winoto

Authors
  1. A. C. Budiman
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. H. Mitsudharmadi
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Y. Bouremel
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. S. H. Winoto
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. H. T. Low
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. C. Budiman.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Budiman, A.C., Mitsudharmadi, H., Bouremel, Y. et al. Visualization of pre-set vortices in boundary layer flow over wavy surface in rectangular channel. J Vis 18, 669–677 (2015). https://doi.org/10.1007/s12650-014-0252-z

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12650-014-0252-z

Keywords

Search

Navigation