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Effects of corner cuts and angles of attack on the Strouhal number of rectangular cylinders

  • Choi, Chang-Koon (Department of Civil Engineering, Korea Advanced Institute of Science and Technology(KAIST)) ;
  • Kwon, Dae-Kun (Department of Civil Engineering and Geological Sciences, University of Notre Dame)
  • Received : 2001.10.12
  • Accepted : 2002.06.10
  • Published : 2003.04.25

Abstract

An investigation into the effect of corner cuts on the Strouhal number of rectangular cylinders with various dimensional ratios and various angles of attack is described. The Strouhal number given as a function of corner cut size is obtained directly from the aerodynamic behavior of the body in a uniform flow through a series of wind-induced vibration tests. For a quick verification of the validity of the Strouhal numbers obtained in this way, they are compared with the approximated the Strouhal numbers based on Shiraishi's early research. The test results show that the Strouhal number of the model with various corner cuts has a fluctuating trend as the angle of attack changes. For each cutting ratio as the angle of attack increases at each cutting ratio above $15^{\circ}$, the Strouhal number decreases gradually, and these trends are more evident for larger corner cut sizes. However, a certain corner cut size which is effective in reducing the wind-induced vibration can be identified by larger Strouhal numbers than those of other corner cut sizes. Three distinct characteristics of Strouhal number variation can be identified in three regions which are termed as Region I, II, and III based on the general trend of the test results. It is also found that the corner cut is effective in one region (Region-II) and less effective in another one (Region-III) when only the vortex-induced vibration occurs.

Keywords

References

  1. Bearman, P.W., (1967), "On vortex street wakes", Journal of Fluid Mechanics, 28, part 4, 625-641. https://doi.org/10.1017/S0022112067002368
  2. Choi, C.K. and Kwon, D.K., (1998), "Wind tunnel blockage effects on aerodynamic behavior of bluff body", Wind and Structures, an International Journal, 1(4), 351-364. https://doi.org/10.12989/was.1998.1.4.351
  3. Choi, C.K. and Kwon, D.K., (2000a), "Aerodynamic stability for rectangular cylinders with various corner cuts", The Fourth International Colloquium on Bluff Body Aerodynamics & Appications (BBAA IV), Germany, September.
  4. Choi, C.K. and Kwon, D.K., (2000b), "Determination of the Strouhal number based on the aerodynamic behavior of rectangular cylinders", Wind and Structures, an International Journal, 3(3), 209-220. https://doi.org/10.12989/was.2000.3.3.209
  5. Hasan, M.A.Z., (1989), "The near wake structure of a square cylinder", International Journal of Heat and Fluid Flow, 10(4), 339-348. https://doi.org/10.1016/0142-727X(89)90024-6
  6. Inoue, H., Mushiake, H., Hirano, H. and Ikenouchi, M., (1984), "Aerodynamic damping effect of side plates on suspension bridge tower", Proceedings of Fifth National Symposium on Wind Engineering.
  7. Kareem, A., Kijewski, T. and Tamura, Y., (1999), "Mitigation of motions of tall buildings with specific examples of recent applications", Wind and Structures, an International Journal, 2(3).
  8. Kawai, H., (1993), "Effect of wind direction on characteristics of vortex induced vibration and galloping of tall buildings", Japanese Journal of Wind Engineering, No. 55.
  9. Kawai, H., (1997), "Wind induced vibrations of tall buildings", 7th ICCCBE, pp. 2317-2328, Korea, August.
  10. Koenig, K. and Roshko, A., (1985), "An experimental study of geometrical effects on the drag and flow field of two bluff bodies separated by a gap", Journal of Fluid Mechanics, 156, 167-204. https://doi.org/10.1017/S002211208500204X
  11. Kwok, K.C.S., (1988), "Effect of building shape on wind-induced response of tall building", J. Wind Eng. & Ind. Aerod., 28, Issue 1, 381-390. https://doi.org/10.1016/0167-6105(88)90134-1
  12. Lee, B.E., (1975), "The effect of turbulence on the surface pressure field of a square prism", Journal of Fluid Mechanics, 69, part 2, 263-282. https://doi.org/10.1017/S0022112075001437
  13. Matsumoto, M., (1999), "Recent study on bluff body aerodynamics and its mechanism", 10th ICWE, 1, 67-78.
  14. Nakaguchi, H., Hashimoto, K. and Muto, S., (1968), "An experimental study on aerodynamic drag of rectangular cylinders", Journal of Japan Aeronautics Space Science, 16(168).
  15. Nanjo, M. and Ushino, M., (1990), "Wind tunnel experiment and field observation on the rectangular cylinders with square corner cuts", Japanese Journal of Wind Engineering, 323-328.
  16. Okajima, A., (1982), "Strouhal numbers of rectangular cylinders", Journal of Fluid Mechanics, 123, 379-398. https://doi.org/10.1017/S0022112082003115
  17. Okajima, A., Ueno, H. and Abe, A., (1991), "Influence of reynolds number on flow and aerodynamic characteristics of bluff bodies with rectangular section of cut corners", Japanese Journal of Wind Engineering, No. 49.
  18. Roshko, A., (1954), "On the drag and shedding frequency of two-dimensional bluff bodies", NACA Tech. Note No. 3169.
  19. Shiraishi, N. and Matsumoto, M., (1983), "On classification of vortex-induced oscillation and its application for bridge structures", Proc. of the 6th Int'l., Conf. of Wind Engineering.
  20. Shiraishi, N., Matsumoto, M., etc. (1987), "On aerodynamic stability effects for bluff rectangular cylinders by their corners cut", Proceedings of Seventh International Symposium on Wind Engineering, 2, 263-272.
  21. Shirato, H. and Matsumoto, M., (1994), "Reynolds number effect on aerodynamic properties of 2-D rectangular section with corner-cut", Japanese Journal of Wind Engineering, No.59.
  22. Suda, K. Tsurumi, T. and Imada, E., (1995), "Characteristics of wind induced vibration on tall building with corner cutting", Japanese Journal of Wind Engineering, No.63, April.
  23. Vickery, B.J., (1966), "Fluctuating lift and drag on a long cylinder of square cross-section in a smooth and in a turbulent stream", Journal of Fluid Mechanics, 25, part 3, 481-494. https://doi.org/10.1017/S002211206600020X
  24. Washizu, K., Otsuki, Y., Tomizawa, H. and Oya, A., (1974), "A note on the aeroelastic instability of a prismatic bar with square section", Journal of Sound and Vibration, 34, 233-248. https://doi.org/10.1016/S0022-460X(74)80307-X

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