Study on the Unsteady Wakes Past a Square Cylinder near a Wall

  • Kim Tae Yoon (Professor, School of Mechanical and Aerospace Engineering in Seoul National University) ;
  • Lee Bo Sung (Senior Researcher, Korea Institute of Science and Technology Information) ;
  • Lee Dong Ho (Professor, School of Mechanical and Aerospace Engineering in Seoul National University)
  • Published : 2005.05.01

Abstract

Experimental and numerical studies on the unsteady wake field behind a square cylinder near a wall were conducted to find out how the vortex shedding mechanism is correlated with gap flow. The computations were performed by solving unsteady 2-D Incompressible Reynolds Averaged Navier-Stokes equations with a newly developed ${\epsilon}-SST$ turbulence model for more accurate prediction of large separated flows. Through spectral analysis and the smoke wire flow visualization, it was discovered that velocity profiles in a gap region have strong influences on the formation of vortex shedding behind a square cylinder near a wall. From these results, Strouhal number distributions could be found, where the transition region of the Strouhal number was at $G/D=0.5{\sim}0.7$ above the critical gap height. The primary and minor shedding frequencies measured in this region were affected by the interaction between the upper and the lower separated shear layer, and minor shedding frequency was due to the separation bubble on the wall. It was also observed that the position (y/G) and the magnitude of maximum average velocity $(u/u_{\infty})$ in the gap region affect the regular vortex shedding as the gap height increases.

Keywords

References

  1. Okajima, A., 1982, 'Strouhal Numbers of Rectangular Cylinders,' J. Fluid Mech., Vol. 123, pp. 379-398 https://doi.org/10.1017/S0022112082003115
  2. Bailey, S. C. C., Kopp, G. A. and Martinuzzi, R. J., 2003, 'Vortex Shedding from a Square Cylinder near a Wall,' J. Turbulence, paper 003, pp. 1-18
  3. Bhattacharyya, D. and Maiti, D. K., 2004, 'Shear Flow past a Square Cylinder near a Wall,' Int. J. Eng. Sci., Vol. 42, pp.2119-2134 https://doi.org/10.1016/j.ijengsci.2004.04.007
  4. Bearman, P. W., Zdravkovich, M. M. 1978, 'Flow around a Circular Cylinder Near a Plane Boundary,' J. Fluid Mech., Vol. 89, part 1, pp. 33-47 https://doi.org/10.1017/S002211207800244X
  5. Bosch, G., Kappler, M. and Rodi, W., 1996, 'Experiments on the Flow Past a Square Cylinder Placed near a Wall,' Exp. Thermal Fluid Sci., Vol. 13, pp. 292-305 https://doi.org/10.1016/S0894-1777(96)00087-8
  6. David C. Wilcox, Turbulence Modeling for CFD, DCW Industries, Inc. 1993
  7. Durao, D. E. F., Gouveia, P. S. T. and Pereira, J. C. F., 1991, 'Velocity Characteristics of the Flow around a Square Section Cylinder Placed near a Channel Wall,' Exp. in Fluids, Vol. 11, pp. 341-350 https://doi.org/10.1007/BF00211788
  8. Frank, R. and Rodi, W., 1991, 'Calculation of Vortex Shedding past a Square Cylinder with various Turbulence Models,' 8th Symp. Turbulent Shear Flows, Technical Univ. of Munch, 20-1
  9. Kato, M. and Launder, B. E., 1993, 'The Modeling of Turbulent Flow around Stationary and Vibrating Square Cylinders,' 9th Symp. Turbulent Shear Flows, Kyoto Japan
  10. Kenjo, C. Q. Wu and Robert J. Martinuzzi, 1997, 'Experimental Study of the Turbulent Wake Flow behind a Square Cylinder Near a Wall,' ASME, FEDSM 97-3151
  11. Kim, T. Y., Lee, B. S., Lee, D. H. and Lee, D. H., 2003, 'A Study on Vortex Shedding Around a Bluff Body Near the Ground,' SAE Paper, 2003-01-1652.
  12. Kim, T. Y., Lee, B. S. and Lee, D. H., 'Numerical Analysis of the Vortex Shedding past a Cylinder with Ground Effect,' KSASS in Korea (submitted)
  13. Lee, B. S. and Lee, D. H., 1997, 'Data Parallel Symmetric Gauss-Seidel Algorithm for Efficient Distributed Computing,' AIAA, 97-2138
  14. Lee, B. S., Kim, T. Y. and Lee, D. H., 'Control of Vortex Shedding behind a Rectangular Cylinder near the Ground,' Numerical Heat Transfer, Part A, 47, Issue 9 https://doi.org/10.1080/10407780590921944
  15. Lee, S. S., 1997, 'Unsteady Aerodynamic Force Prediction on a Square Cylinder using k-s Turbulence Models,' J. of Wind Eng. Ind. Aerodyn., Vol. 67&68, pp. 79-90
  16. Lee, S. S., 1997, 'Spatial Resolution Effects on Unsteady Turbulent Flow Computations for the Rectangular Cylinders by k-s Turbulence Models,' KSME Int., Vol. 11, No.3, pp. 339-347 https://doi.org/10.1007/BF02946326
  17. Lyn, D. A. and Rodi, W., 1994, 'The Flapping Shear Layer Formed by Flow Separation From the Forward Corner of a Square Cylinder,' J. Fluid Mech., Vol. 267, pp. 353-376 https://doi.org/10.1017/S0022112094001217
  18. Lyn, D. A., Einav, S., Rodi, W. and Park, J. H., 1995, 'A Laser-Doppler Velocimetry Study of Ensemble-Averaged Characteristics of the Turbulent near Wake of a Square Cylinder,' J. Fluid Mech., Vol. 304, pp. 285-319 https://doi.org/10.1017/S0022112095004435
  19. Menter, F. R., 1994, 'Two-Equation Eddy-Viscosity Turbulence Models For Engineering Applications,' AIAA J, Vol. 32, No. 8, pp. 1598-1605 https://doi.org/10.2514/3.12149
  20. Murakami, S. and Mochida, A., 1995, 'On Turbulent Vortex Shedding Flow Past 2D Square Cylinder Predicted Flow Past 2D Square Cylinder Predicted by CFD,' J. of Wind Eng. Ind. Aerodyn., Vol. 54, pp. 191-211 https://doi.org/10.1016/0167-6105(94)00043-D
  21. Park, W. C. and Higuchi, H., 1998, 'Numerical Investigation of Wake Flow Control by a Splitter Plate,' KSME Int., Vol. 12, No. 1, pp. 123-131 https://doi.org/10.1007/BF02946540
  22. Robert R. Hwang and Chia-Chi Yao, 1997, 'A Numerical Study of Vortex Shedding From a Square Cylinder With Ground Effect,' J. Fluid Eng., Vol. 119, pp. 512-518 https://doi.org/10.1115/1.2819274
  23. Rogers, Kwak, 1990, 'Upwind Differencing Scheme for the Time-accurate Incompressible Navier-Stokes Equations,' AIAA J., Vol. 28, No. 2