International Journal of Aeronautical and Space Sciences

The Korean Society for Aeronautical and Space Sciences (한국항공우주학회)
권호 표지
DOI QR코드

DOI QR Code

Numerical Analysis of Unsteady Flow around a Transversely Oscillating Circular Cylinder

  • Moon, Ji-Soo (Department of Aerospace Engineering, Chosun University) ;
  • Kim, Jae-Soo (Department of Aerospace Engineering, Chosun University)
  • Received : 2012.01.01
  • Accepted : 2012.03.16
  • Published : 2012.03.30
Download PDF
⟨ Previous Next ⟩

Abstract

The relationship between the excitation frequency and the vortex shedding frequency is analyzed during the oscillation of the circular cylinder. Two-dimension unsteady Navier-Stoke's equation is calculated by using the Optimized High Order Compact (OHOC) scheme. The flow condition is Mach number 0.3 and Reynold's number 1000. From the results acquired by calculation, it can be inferred that, when the excitation frequency is near the vortex shedding frequency at the fixed cylinder wake, the oscillation frequency of lift and drag coefficients appears to lock-on. The lock-on refers to a phenomenon in which the aerodynamic coefficient appears as one primary oscillation frequency through excitation and its amplitude is amplified. In the non-lock-on zone, the excitation frequency is not in the lock-on mode anymore and beat is formed in which two or more primary oscillation frequencies of the aerodynamic coefficient are mixed together.

Keywords

References

  1. Williamson, C.H.K and Roshko, A., "Vortex Formation in the wake of an Oscillating Cylinder," Journal of Fluids and Structures, Vol.2, No355,1988, pp. 355-381, https://doi.org/10.1016/S0889-9746(88)90058-8
  2. Kim, W and Yoo, J. Y., "Change of Vortex Dynamics in the Cylinder Wake by the Lock on to Oscillatory Incident Flow", Korean Society of Mechanical Engineers, Vol. B, 27, 11th,2003, pp. 1645-1654. https://doi.org/10.3795/KSME-B.2003.27.11.1645
  3. Atluri, S. , Rao, V.K. and Dalton, C., "A numerical investigation of the near-wake structure in the variable frequency excitation oscillation of a circular cylinder", Journal of Fluids and Structures,Vol.25, 2008,pp.229-244.
  4. Koopmann, G.H., "The vortex wakes of vibrating cylinders at low Reynolds numbers", J Fluid Mech, Vol.28, 1967, pp.501-512. https://doi.org/10.1017/S0022112067002253
  5. Gerrand J.H., "The mechanics of the formation region of the vortices behind bluff bodies", J. Fluid Mech, Vol.25, 1966, pp.401-413. https://doi.org/10.1017/S0022112066001721
  6. Griffin O.M., Ramberg S.E., "Vortex shedding from a circular cylinder vibrating inline with an incident uniform flow", J Fluid Mech, Vol.75, 1976, pp.257-276. https://doi.org/10.1017/S0022112076000207
  7. Kang, S.J. , Tanahashi, M., Miyuchi, T. and Lee, Y.H., "Direct Numerical Simulation of the Flow past an Oscillating Circular Cylinder", Korean Society of Computational Fluids Engineering, Vol 6, 4th. , 2001, pp.26-34.
  8. Hoffmann, K.C. and Chiang, S.T., "Computational Fluid Dynamics for Engineers", Engineering Education System USA, Vol.1 , 1993, pp.26-34.
  9. Kim,J.W. and Lee,D.J., "Optimized compact finite difference schemes with maximum resolution," AIAA, Vol.34, No.5, 1996, pp.887-893. https://doi.org/10.2514/3.13164
  10. Kim,J.W. and Lee,D.J., "Adaptive nonlinear artificial dissipation model for computational aeroacoustics," 3rd CAA Workshop on Benchmark Problems, USA, November, 1999.
  11. Sandberg, R.D. and Sandham, N.D., " Nonreflecting zonal characteristic boundary condition for direct numerical simulation of aerodynamic sound", AIAA J., 44(2), 2006, pp.402-405. https://doi.org/10.2514/1.19169
  12. Blake, W.K., "Dipole sound from Cylinders", Mechanics of flow induced sound and vibration, 1st ed., vol.1, Academic Press, New York, 1986, pp.219-287.
  13. Williamson,C.H.K., "Three dimensional wake transition behind a cylinder", Journal of Fluid Mechanics, Vol.328, 1996, pp345-407. https://doi.org/10.1017/S0022112096008750
  14. Jordan, S.K. and Fromm, J.E., "Oscillatory Drag, Lift and Torque on a circular cylinder in a uniform flow", Phisics of Fluids, vol.15, no.3, 1972, pp.371-376. https://doi.org/10.1063/1.1693918

Cited by

  1. A Novel Wake Oscillator Model for Vortex-Induced Vibrations Prediction of A Cylinder Considering the Influence of Reynolds Number vol.32, pp.2, 2018, https://doi.org/10.1007/s13344-018-0015-z