Transactions of the Korean Society of Mechanical Engineers B (대한기계학회논문집B)

The Korean Society of Mechanical Engineers (대한기계학회)
권호 표지
DOI QR코드

DOI QR Code

Numerical Study on Uniform-Shear Flow Over a Circular Cylinder

원형실린더를 지나는 균일전단 유동에 관한 수치연구

  • Published : 2005.01.01
Download PDF
⟨ Previous Next ⟩

Abstract

The present study has numerically investigated two-dimensional laminar flow over a circular cylinder with a uniform planar shear, where the free-stream velocity varies linearly across the cylinder. Numerical simulations using the immersed boundary method are performed for the ranges of $50{\le}Re{\le}160,\;K{\le}0.2$, and B=0.1 and 0.05 where Re, K and B are the Reynolds number, the non-dimensionalized velocity gradient and the blockage ratio, respectively. Results show that the flow depends significantly on B as well as Re and K. It is found, especially, that the blockage effect accounts for some causes of apparent discrepancies among previous studies on the flow. With increasing K, the vortex shedding frequency and the mean drag stay nearly constant or slightly decrease whereas the mean lift, acting from the higher-velocity side to the lower, increases linearly. Flow statistics as well as instantaneous flow fields are presented to identify the characteristics of the flow and then to understand the underlying mechanism.

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. Zdravkovich, M.M., 1997, Flow around Circular Cylinders Vol 1: Fundamentals, Oxford University Press, Oxford, pp. 458-496
  3. Kiya, M., Tamura, H. and Arie, M., 1980, 'Vortex Shedding from a Circular Cylinder in Moderate-Reynolds-Number Shear Flow,' Journal of Fluid Mechanics, Vol. 141, pp. 721-735 https://doi.org/10.1017/S0022112080001899
  4. Kwon, T.S., Sung, H.J. and Hyun, J.M., 1992, 'Experimental Investigation of Uniform-Shear Flow Past a Circular Cylinder,' Transactions of the ASME: Journal of Fluids Engineering, Vol. 114, pp. 457-460 https://doi.org/10.1115/1.2910053
  5. Hayashi, T., Yoshino, F. and Waka, R., 1993, 'The Aerodynamic Characteristics of a Circular Cylinder with Tangential Blowing in Uniform Shear Flows,' JSME International Journal Series B, Vol. 36, pp. 101-112 https://doi.org/10.1299/jsmeb.36.101
  6. Sumner, D. and Akosile, O.O., 2003, 'On Uniform Planar Shear Flow Around a Circular Cylinder at Subcritical Reynolds Number,' Journal of Fluids and Structures, Vol. 18, pp. 441-454 https://doi.org/10.1016/j.jfluidstructs.2003.08.004
  7. Jordan, S.K. and Fromm, J.E., 1972, 'Laminar Flow past a Circle in Shear Flow,' Physics of Fluids, Vol. 15, pp. 972-976 https://doi.org/10.1063/1.1694058
  8. Tamura, H., Kiya, M. and Arie, M., 1980, 'Numerical Study on Viscous Shear Flow Past a Circular Cylinder,' Bulletin of the JSME, Vol. 23, pp. 1952-1958
  9. Yoshino, F. and Hayashi, T., 1984, 'Numerical Solution of Flow Around a Rotating Circular Cylinder in Uniform Shear Flow,' Bulletin of the JSME, Vol. 27, pp. 1850-1857 https://doi.org/10.1299/jsme1958.27.1850
  10. Wu, T. and Chen, C.-F., 2000, 'Laminar Boundary-Layer Separation Over a Circular Cylinder in Uniform Shear Flow,' Acta Mechanica, Vol. 144, pp. 71-82 https://doi.org/10.1007/BF01181829
  11. Lei, C., Cheng, L. and Kavanagh, K., 2000, 'A Finite Difference Solution of the Shear Flow Over a Circular Cylinder,' Ocean Engineering, Vol. 27, pp. 271-290 https://doi.org/10.1016/S0029-8018(98)00050-X
  12. Park, J., Kwon, K. and Choi, H., 1998, 'Numerical Solutions of Flow Past a Circular Cylinder at Reynolds Numbers up to 160,' KSME International Journal, Vol. 12, pp. 1200-1205 https://doi.org/10.1007/BF02942594
  13. Chakraborty, J., Verma, N. and Chhabra, R.P., 2004, 'Wall Effects in Flow Past a Circular Cylinder in a Plane Channel: a Numerical Study,' Chemical Engineering and Processing, Vol. 43, pp. 1529-1537 https://doi.org/10.1016/j.cep.2004.02.004
  14. Kim, J., Kim, D. and Choi, H., 2001, 'An Immersed-Boundary Finite-Volume Method for Simulations of Flow in Complex Geometries,' Journal of Computational Physics, Vol. 171, pp. 132-150 https://doi.org/10.1006/jcph.2001.6778
  15. Mittal, S. and Kumar, B., 2003, 'Flow past a Rotating Cylinder,' Journal of Fluid Mechanics, Vol. 476, pp. 303-334 https://doi.org/10.1017/S0022112002002938
  16. Fey, U., Konig, M. and Eckelmann, H., 1998, 'A New Strouhal-Reynolds-Number Relationship for the Circular Cylinder in the Range $47,' Physics of Fluids, Vol. 10, pp. 1547-1549 https://doi.org/10.1063/1.869675
  17. Tsien, H.S., 1943, 'Symmetrical Zhukovski Airfoils in Shear Flow,' Quarterly of Applied Mathematics, Vol. 1, pp. 130-148 https://doi.org/10.1090/qam/8537