Numerical Study on Laminar Flow over Three Side-by-Side Cylinders

  • Kang, Sangmo (Department of Mechanical Engineering, Dong-A University)
  • Published : 2004.10.01

Abstract

The present study has numerically investigated two-dimensional flow over three circular cylinders in an equidistant side-by-side arrangement at a low Reynolds number. For the study, numerical simulations are performed, using the immersed boundary method, in the range of g* < 5 at Re= 100, where g* is the spacing between two adjacent cylinder surfaces divided by the cylinder diameter. Results show that the flow characteristics significantly depend on the gap spacing and a total of five kinds of wake patterns are observed over the range: modulation-synchronized (g* (equation omitted) 2), inphase-synchronized (g* (equation omitted) 1.5) , flip-flopping (0.3 < g* (equation omitted) 1.2) , deflected (g* (equation omitted) 0.3), and single bluff-body patterns (g* < 0.3). Moreover, the parallel and symmetric modes are also observed depending on g* in the regime of the flip-flopping pattern. The corresponding flow fields and statistics are presented to verify the observations.

Keywords

References

  1. Eastop, T. D. and Turner, J. R., 1982, 'Air Flow around Three Cylinders at Various Pitch-to-Diameter Ratios for Both a Longitudinal and a Transverse Arrangement,' Trans. Inst. Chem. Eng., Vol. 60, pp. 359-363
  2. Guillaume, D. W. and LaRue, J. C., 1999, 'Investigation of the Flopping Regime with Two-, Three- and Four-Cylinder Arrays,' Exp. Fluids, Vol. 27, pp. 145-156 https://doi.org/10.1007/s003480050339
  3. Ishigai, S. and Nishikawa, E., 1975, 'Experimental Study of Gas Flow in Tube Banks with Tube Axes Normal to Flow Part II; on the Structure of Gas Flow in Single-Column, Single-Row, and Double-Rows Tube Banks,' Bull JSME, Vol. 18, pp. 528-535 https://doi.org/10.1299/jsme1958.18.528
  4. Kang, S., 2003, 'Characteristics of Flow over Two Circular Cylinders in a Side-by-Side Arrangement at Low Reynolds Numbers,' Phys. Fluids, Vol. 15, pp. 2486-2498 https://doi.org/10.1063/1.1596412
  5. Kim, H. J. and Durbin, P. A., 1988, 'Investigation of the Flow between a Pair of Circular Cylinders in the Flopping Regime,' J. Fluid Mech., Vol. 196, pp. 431-448 https://doi.org/10.1017/S0022112088002769
  6. 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
  7. Kumada, M.. Hiwada. M.. Ito. M.. and Mabuchi, I., 1984, 'Wake Interference between Three Circular Cylinders Arranged Side by Side Normal to a Flow,' Trans. JSME, Vol. 50, pp. 1699-1707 (in Japanese) https://doi.org/10.1299/kikaib.50.1699
  8. Le Gal, P., Peschard, I., Chauve, M. P., and Takeda, Y., 1996, 'Collective Behavior of Wakes Downstream a Row Cylinders,' Phys. Fluids, Vol. 8, pp. 2097-2106 https://doi.org/10.1063/1.868984
  9. Moretti, P. M. and Cheng, M., 1987, 'Instability of Flow through Tube Rows,' J. Fluids Eng., Vol. 109, pp. 197-198 https://doi.org/10.1115/1.3242644
  10. Park, J., Kwon, K., and Choi, H., 1998, 'Numerical Simulations of Flow past a Circular Cylinder at Reynolds Numbers up to 160,' KSME Int. J., Vol. 12, pp. 1200-1205
  11. Sumner, D., Wong, S.S.T., Price, S.J. and Paidoussis, M.P., 1999, 'Fluid Behavior of Side-by-Side Circular Cylinders in Steady Cross-Flow,' Journal of Fluids and Structures, Vol. 13, pp. 309-338 https://doi.org/10.1006/jfls.1999.0205
  12. Williamson, C. H. K., 1985, 'Evolution of a Single Wake behind a Pair of Bluff Bodies,' J. Fluid Mech., Vol. 159, pp. 1-18 https://doi.org/10.1017/S002211208500307X
  13. Williamson, C. H. K., 1989, 'Oblique and Parallel Modes of Vortex Shedding in the Wake of a Circular Cylinder at Low Reynolds Numbers,' J. Fluid Mech., Vol. 206, pp. 579-627 https://doi.org/10.1017/S0022112089002429
  14. Zdravkovich, M. M. and Stonebanks, K. L., 1990, 'Intrinsically Nonuniform and Metastable Flow in and between Tube Arrays,' J. Fluids Struct., Vol. 4, pp. 305-319 https://doi.org/10.1016/S0889-9746(05)80017-9
  15. Zhang, H. J. and Zhou, Y., 2001, 'Effect of Unequal Spacing on Vortex Streets behind Three Side-by-Side Cylinders,' Phys. Fluids, Vol. 13, pp. 3675-3686 https://doi.org/10.1063/1.1412245
  16. Zhou, Y., So, R. M. C., Liu, M. H., and Zhang, H. J., 2000, 'Complex Turbulent Wakes Generated by Two and Three Side-by-Side Cylinders,' Int. J. Heat Fluid Flow, Vol. 21, pp.125-133 https://doi.org/10.1016/S0142-727X(99)00077-6
  17. Zhou, Y., Zhang, H. J., and Yiu, M. W., 2002, 'The Turbulent Wake of Two Side-by-Side Circular Cylinders,' J. Fluid Mech., Vol. 458, pp. 303-332 https://doi.org/10.1017/S0022112002007887