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Suppression of Wake Transition and Occurrence of Lock-on Downstream of a Circular Cylinder in a Perturbed Flow in the A-mode Instability Regime

A-mode 불안정성 영역에서 교란유동장에 놓인 원형실린더 후류의 천이지연과 유동공진의 발생

  • 김수현 (서울대학교 대학원 기계항공공학부) ;
  • 배종헌 (서울대학교 대학원 기계항공공학부) ;
  • 유정열 (서울대학교 기계항공공학부)
  • Published : 2007.08.01

Abstract

Direct numerical simulation (DNS) is performed to investigate suppressed wake transition and occurrence of lock-on in the wake of a circular cylinder disturbed by sinusoidal perturbation at the Reynolds number of 220 (A-mode instability regime). The sinusoidal perturbation, of which the frequency is near twice the natural shedding frequency, is superimposed on the free stream velocity. It is shown that the wake transition behind the circular cylinder can be suppressed due to the perturbation of the free stream velocity. This change causes a jump in the Strouhal number from the value corresponding to A-mode instability regime to the value corresponding to retarded wake transition regime (extrapolated from laminar shedding regime) in the Strouhal-Reynolds number relationship. As a result, vortex shedding frequency is locked on the perturbation frequency depending not on the natural shedding frequency but on the modified shedding frequency.

Keywords

References

  1. Williamson, C. H. K., 1996, 'Vortex Dynamics in the Cylinder Wake,' Annu. Rev. Fluid Mech., Vol. 28, pp. 477-539 https://doi.org/10.1146/annurev.fl.28.010196.002401
  2. Williamson, C. H. K., 1988, 'The Existence of Two Stages in the Transition to Three-Dimensionality of a Cylinder Wake,' Phys. Fluids, Vol. 31, No. 11, pp. 3165-3168 https://doi.org/10.1063/1.866925
  3. Zhang, H.-Q., Fey, U., Noack, B. R., K&o&nig , M. and Eckelmann, H., 1995, 'On the Transition of the Cylinder Wake,' Phys. Fluids, Vol. 7, No. 4, pp. 779-794 https://doi.org/10.1063/1.868601
  4. Fey, U., K&o&nig , M. and Eckelmann, H., 1998, 'A New Strouhal-Reynolds-Number Relationship for the Circular Cylinder in the Range 47 < Re < $2{\times}10^5$,' Phys. Fluids, Vol. 10, No. 7, pp. 1547-1549 https://doi.org/10.1063/1.869675
  5. Griffin, O. M. and Hall, M. S., 1991, 'Review - Vortex Shedding Lock-on and Flow Control in Bluff Body Wakes,' ASME J. Fluids Eng., Vol. 113, pp. 526-537 https://doi.org/10.1115/1.2926511
  6. Tanida, Y., Okajima, A. and Watanabe, Y., 1973, 'Stability of a Circular Cylinder Oscillating in Uniform Flow or in a Wake,' J. Fluid Mech. Vol. 61, pp. 769-784 https://doi.org/10.1017/S0022112073000935
  7. Armstrong, B. J., Barnes, F. H. and Grant, I., 1986, 'The Effect of a Perturbation on the Flow Over a Bluff Cylinder,' Phys. Fluids, Vol. 29, No. 7, pp. 2095-2102 https://doi.org/10.1063/1.865596
  8. Griffin, O. M. and Ramberg, S. E., 1976, 'Vortex Shedding from a Cylinder Vibrating in Line with an Incident Uniform Flow' J. Fluid Mech., Vol. 75, pp. 257-271 https://doi.org/10.1017/S0022112076000207
  9. Armstrong, B. J., Barnes, F. H. and Grant, I., 1987, 'A Comparison of the Structure of the Wake behind a Circular Cylinder in a Steady Flow with That in a Perturbed Flow,' Phys. Fluids, Vol. 30, No. 1, pp. 19-26 https://doi.org/10.1063/1.866170
  10. Barbi, C., Favier, D. P., Maresca, C. A. and Telionis, D. P., 1986, 'Vortex Shedding and Lock-on of a Circular Cylinder in Oscillatory Flow,' J. Fluid Mech., Vol. 170, pp. 527-544 https://doi.org/10.1017/S0022112086001003
  11. Konstantinidis, E., Balabani, S. and Yianneskis, M., 2003, 'The Effect of Flow Perturbations on the Near Wake Characteristics of a Circular Cylinder,' J. Fluids Struct., Vol. 18, pp. 367-386 https://doi.org/10.1016/j.jfluidstructs.2003.07.006
  12. Jin, B. J., Park, N. and Yoo, J. Y., 2001, 'Large Eddy Simulation of Boundary Layer Transition on the Axial Turbine Blade by Rotor Induced Wake,' Proceedings of 2001 ASME Fluids Engineering Division Summer Meeting, FEDSM2001-18195
  13. Park, N., Yoo, J. Y. and Choi, H., 2004, 'Discretization Errors in Large Eddy Simulation: on the Suitability of Centered and Upwind-Biased Compact Difference Schemes,' J. Comput. Phys., Vol. 198, pp. 580-616 https://doi.org/10.1016/j.jcp.2004.01.017
  14. Kim, W., Sung, J. and Yoo, J. Y., 2003, 'Change of Vortex Dynamics in the Cylinder Wake by the Lockon to Oscillatory Incident Flow,' Trans. KSME (B), Vol. 27, No. 11, pp. 1645-1654
  15. Williamson, C. H. K. and Roshko, A., 1990, 'Measurements of Base Pressure in the Wake of a Cylinder at Low Reynolds Numbers,' Z. Flugwiss. Weltraumforsch., Vol. 14, pp. 38-46
  16. Persillon, H. and Braza, M., 1998, 'Physical Analysis of the Transition to Turbulence in the Wake of a Circular Cylinder by Three-Dimensional Navier- Stokes Simulation,' J. Fluid Mech., Vol. 365, pp. 23-88 https://doi.org/10.1017/S0022112098001116
  17. Posdziech, O. and Grundmann, R., 2001, 'Numerical Simulation of the Flow Around an Infinitely Long Circular Cylinder in the Transition Regime,' Theoret. Comput. Fluid Dynamics, Vol. 15, pp. 121-141 https://doi.org/10.1007/s001620100046
  18. Williamson, C. H. K., 1987, 'Three-Dimensional Transition in the Near Wake of a Cylinder,' Bull. Am. Phys. Soc. 32, 2098
  19. Williamson, C. H. K., 1996, 'Three-Dimensional Wake Transition,' J. Fluid Mech., Vol. 328, pp. 345-407 https://doi.org/10.1017/S0022112096008750
  20. Wu, J., Sheridan, J., Soria, J. and Welsh, M. C., 1994, 'An Experimental Investigation of Streamwise Vortices in the Wake of a Bluff Body,' J. Fluids Struct. Vol. 8, pp. 621-625 https://doi.org/10.1016/S0889-9746(94)90080-9
  21. Mansy, H., Yang, P. and Williams, D. R., 1994, 'Quantitative Measurements of Three-Dimensional Structures in the Wake of a Circular Cylinder,' J. Fluid Mech., Vol. 270, pp. 277-296 https://doi.org/10.1017/S0022112094004271
  22. Poncet, P., 2002, 'Vanishing of Mode B in the Wake behind a Rotationally Oscillating Circular Cylinder,' Phys. Fluids, Vol. 14, No. 6, pp. 2021-2024 https://doi.org/10.1063/1.1479344