A Numerical Study on Flow Characteristics Around Rectangular Cylinder with Different Width-to-height Ratios

종횡비 변화에 따른 사각실린더 주위의 유동 특성에 관한 수치적 연구

  • Received : 2010.03.12
  • Published : 2010.08.10

Abstract

We investigate two-dimensional laminar flow around rectangular cylinders placed in a uniform stream. Numerical simulations are performed, using finite volume method, in the ranges of $50{\leq}Re{\leq}150$ and $0.1{\leq}W/H{\leq}1.0$, where Re and W/H are the Reynolds number and the width-to-height ratio, respectively. The immersed boundary method is used to handle the rectangular cylinder in a rectangular grid system. Comparisons with the previous results show good agreement in Strouhal number, drag and lift coefficient. The present study reports the detailed information of flow structure at different width-to-height ratios in the ranges of $50{\leq}Re{\leq}150$.

Keywords

References

  1. Okajima, A., 1982, Strouhal number of rectangular cylinder, Journal of Fluid Mechanics, Vol. 123, pp. 379-398. https://doi.org/10.1017/S0022112082003115
  2. Okajima, A., 1990, Numerical simulation of flow around rectangular cylinders, Journal of Wind Engineering and Industrial Aerodynamics, Vol. 33, pp. 171-180. https://doi.org/10.1016/0167-6105(90)90033-9
  3. Norberg, C., 1993, Flow around rectangular cylinders : Pressure forces and wake frequensies, Journal of Wind Engineering and Industrial Aerodynamics, Vol. 49, pp. 187-196. https://doi.org/10.1016/0167-6105(93)90014-F
  4. Sohankar, A., Norberg, C., and Davidson, L., 1997, Numerical simulation of unsteady low-Reynolds number flow around rectangular cylinders at incidence, Journal of Wind Engineering and Industrial Aerodynamics, Vol. 69- 71, pp. 189-201. https://doi.org/10.1016/S0167-6105(97)00154-2
  5. Shimada, K. and Ishihara, T., 2002, Application of a modified $\kappa-\epsilon$ model to the prediction of aerodynamic characteristics of rectangular cross-section cylinders, Journal of Fluids and Structures, Vol. 16, pp. 465-485. https://doi.org/10.1006/jfls.2001.0433
  6. Uhlmann, M., 2005, An immersed boundary method with direct forcing for the simulation of particulate flows, Journal of Computational Physics, Vol. 209, pp. 448-476. https://doi.org/10.1016/j.jcp.2005.03.017
  7. Choi, H. C. and Moin, P., 1994, Effect of the computational time step on numerical solutions of turbulent flow, Journal of Computational Physics, Vol. 113, pp. 1-4. https://doi.org/10.1006/jcph.1994.1112
  8. Zang, Y., Street, R. L., and Koseff, J. R., 1994, A non-staggered grid, fractional step method for time-dependent incompressible Navier- Stokes equations in curvilinear coordinates, Journal of Computational
  9. Roma, A. M., Peskin, C. S., and Berger, M. J., 1999, An adaptive version of the immersed boundary method, Journal of Computational Physics, Vol. 153, pp. 509-534. https://doi.org/10.1006/jcph.1999.6293
  10. Cheng, M., Whyte, D. S., and Lou, J., 2007, Numerical simulation of flow around a square cylinder in uniform-shear flow, Journal of Fluid and Structures, Vol. 23, pp. 207-226. https://doi.org/10.1016/j.jfluidstructs.2006.08.011