Skip to main content
Log in

Transition of boundary layer flows in the presence of Goertler vortices

  • Originals
  • Published:
Experiments in Fluids Aims and scope Submit manuscript

Abstract

Transition of boundary layer flows in the presence of longitudinal counter-rotating Goertler vortices was experimentally investigated on a concave surface of 1.0 m radius of curvature in a perspex (plexiglass) curved rectangular duct connected to a low speed wind tunnel for a free-stream velocity range of 5.7–11.8 m/s. Quantitative measurements were carried out using a single sensor hot-wire anemometer, while the boundary layer transitions were detected using frequency spectrum method. The results confirm that in the presence of Goertler vortices, transition is initiated at the boundary layer upwash regions, and also agree well with the predicted values obtained using the two existing empirical transition criteria for concave surface boundary layer flows.

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

  • Aihara, Y. 1979: Goertler vortices in the non-linear region. In: Recent developments in theoretical and experimental fluid mechanics (eds. Müller, U.; Roesner, K. G.; Schmidt, A. B.), pp. 331–338. Berlin, Heidelberg, New York: Springer

    Google Scholar 

  • Aihara, Y.; Koyama, H. 1981: Secondary instability of Goertler vortices: Formation of periodic three-dimensional coherent structure. Trans. Jpn. Soc. Aero. Sci. 24, 78–94

    Google Scholar 

  • Aihara, Y.; Koyama, H. 1982: Three-dimensional turbulent boundary layer along a concave wall. In: Three-dimensional turbulent boundary layer (eds. Fernholz, H. H.; Krause, E.), pp. 210–220. Berlin, Heidelberg, New York: Springer

    Google Scholar 

  • Bippes, H.; Goertler, H. 1972: Dreidimensionale Störungen in der Grenzschicht an einer konkaven Wand. Acta Mech. 14, 251–267

    Article  Google Scholar 

  • Crane, R. I.; Leoutsakos, G.; Sabzvari, J. 1987: Transition in pressure-surface boundary layers. ASME J. Turbomach. 109, 296–302

    Google Scholar 

  • Floryan, J.; Saric, W. 1980: Wavelength selection and growth of Goertler vortices. AIAA Paper 80-1376

  • Goertler, H. 1940: Über eine dreidimensionale Instabilität laminarer Grenzschichten an konkaven Wänden. Nachr. Akad. Wiss. Göttingen Math. Phys. Kl. Neue Folge I, 2, 1–26

    MATH  Google Scholar 

  • Kan, S.; Miwa, K.; Morishita, T.; Munakata, Y.; Mamura, M. 1971: Heat transfer of a turbine blade. Proc. Joint Int. Gas Turbine Conf. Tokyo, pp. 219–226

  • Liepmann, H. W. 1945: Investigation of boundary layer transition on concave walls. NACA Wartime Report, ACR 4J28

  • Martin, B. W.; Brown, A. 1979: Factors influencing heat transfer to the pressure surfaces of gas turbine blades. Int. J. Heat Fluid Flow 1, 107–114

    Google Scholar 

  • McCormack, P. D.; Welker, H.; Kelleher, M. 1970: Taylor-Goertler vortices and their effect on heat transfer. ASME J. Heat Transfer. 92, 101–112

    Google Scholar 

  • Smith, A. M. O. 1955: On the growth of Taylor-Goertler vortices along highly concave walls. Q. Appl. Mech. 13, 233–262

    MATH  Google Scholar 

  • Swearingen, J. D.; Blackwelder, R. F. 1987: The growth and breakdown of streamwise vortices in the presence of a wall. J. Fluid Mech. 182, 255–290

    Google Scholar 

  • Tani, I. 1962: Production of longitudinal vortices in the boundary layer along a concave wall. J. Geophys. Res. 67, 3075–3080

    Google Scholar 

  • Tani, I.; Aihara, Y. 1969: Goertler vortices and boundary layer transition. Z. Angew. Math. Phys. 20, 609–618

    Google Scholar 

  • Winoto, S. H. 1980: Longitudinal vortices in concave surface boundary layers. Ph.D. Thesis, London University

  • Winoto, S. H., Crane, R. I. 1980: Vortex structure in laminar boundary layers on a concave wall. Int. J. Heat Fluid Flow, 2, 221–231

    Article  Google Scholar 

  • Wortmann, F. X. 1969: Visualization of transition. J. Fluid Mech. 38, 473–480

    Google Scholar 

  • Zanin, B. Yu. 1984: Transition at natural conditions and comparison with the results of wind tunnel studies. In: Laminar-turbulent transition (IUTAM Symposium) (ed. Kozlov, V. V.) pp. 541–546. Berlin, Heidelberg, New York: Springer

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Winoto, S.H., Low, H.T. Transition of boundary layer flows in the presence of Goertler vortices. Experiments in Fluids 8, 41–47 (1989). https://doi.org/10.1007/BF00203063

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00203063

Keywords

Navigation