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.
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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
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
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
Bippes, H.; Goertler, H. 1972: Dreidimensionale Störungen in der Grenzschicht an einer konkaven Wand. Acta Mech. 14, 251–267
Crane, R. I.; Leoutsakos, G.; Sabzvari, J. 1987: Transition in pressure-surface boundary layers. ASME J. Turbomach. 109, 296–302
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
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
McCormack, P. D.; Welker, H.; Kelleher, M. 1970: Taylor-Goertler vortices and their effect on heat transfer. ASME J. Heat Transfer. 92, 101–112
Smith, A. M. O. 1955: On the growth of Taylor-Goertler vortices along highly concave walls. Q. Appl. Mech. 13, 233–262
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
Tani, I. 1962: Production of longitudinal vortices in the boundary layer along a concave wall. J. Geophys. Res. 67, 3075–3080
Tani, I.; Aihara, Y. 1969: Goertler vortices and boundary layer transition. Z. Angew. Math. Phys. 20, 609–618
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
Wortmann, F. X. 1969: Visualization of transition. J. Fluid Mech. 38, 473–480
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
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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
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DOI: https://doi.org/10.1007/BF00203063