Skip to main content
Log in

Numerical Simulation of Flow Over Two Circular Cylinders in Tandem Arrangement

  • Published:
Journal of Hydrodynamics Aims and scope Submit manuscript

Abstract

In this article, the 2-D unsteady viscous flow around two circular cylinders in a tandem arrangement is numerically simulated in order to study the characteristics of the flow in both laminar and turbulent regimes. The method applied alternatively is based on the finite volume method on a Cartesian-staggered grid. The great source term technique is employed to identify the cylinders placed in the flow field. To apply the boundary conditions, the ghost-cell technique is used. The implemented computational method is firstly validated through simulation of laminar and turbulent flows around a fixed circular cylinder. Finally, the flow around two circular cylinders in a tandem arrangement is simulated and analyzed. The flow visualization parameters, the Strouhal numbers, and drag and lift coefficients are comprehensively presented and compared for different cases in order to reveal the effect of the Reynolds number and gap spacing on the behavior of the flow. The obtained results have shown two completely distinct flow characteristics in laminar and turbulent regimes.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. ZHANG H., MELBOURNE W. H. Interference between two circular cylinders in tandem in turbulent flow[J]. Journal of Wind Engineering and Industrial Hydrodynamics, 1992, 41(1-3): 589–600.

    Article  Google Scholar 

  2. BEARMANN P. W., WADCOCK A. J. The interaction between a pair of circular cylinders normal to a stream[J]. J. Fluid Mech., 1973, 61: 499–511.

    Article  Google Scholar 

  3. LIU Kun, MA Dong-jun and SUN De-jun et al. Wake patterns of flow past a pair of circular cylinders in sidebyside arrangements at low Reynolds numbers[J]. Journal of Hydrodynamics, Ser. B, 2007, 19(6): 690–697.

    Article  Google Scholar 

  4. RYU S., LEE S. B. and LEE B. H. et al. Estimation of hydrodynamic coefficients for flow around cylinders in side-by-side arrangement with variation in separation gap[J]. Ocean Engineering, 2009, 36(9-10): 672–680.

    Article  Google Scholar 

  5. MITTAL S., KUMAR V. and RAGHUVANSHI A. Unsteady incompressible flows past two cylinders in tandem and staggered arrangements[J]. International Journal for Numerical Methods in Fluids, 1997, 25(11): 1315–1344.

    Article  Google Scholar 

  6. MENEGHINI J. R., SATARA F. Numerical simulation of flow interference between two circular cylinders in tandem and side-by-side arrangements[J]. Journal of Fluids and Structures, 2001, 15(2): 327–350.

    Article  Google Scholar 

  7. MAHIR N., ALTAC Z. Numerical investigation of convective heat transfer in unsteady flow past two cylinders in tandem arrangements[J]. International Journal of Heat and Fluid Flow, 2008, 29(5): 1309–1318.

    Article  Google Scholar 

  8. SINGHA S., SINHAMAHAPATRA K. P. Highresolution numerical simulation of low Reynolds number incompressible flow about two cylinders in tandem[J]. Journal of Fluids Engineering, ASME, 2010, 132(1): 011101.

    Article  Google Scholar 

  9. DING H., SHU C. and YEO K. S. et al. Numerical simulation of flows around two circular cylinders by mesh-free least square-based finite difference methods[J]. International Journal for Numerical Methods in Fluids, 2007, 53(2): 305–332.

    Article  Google Scholar 

  10. KITAGAWA T., OHTA H. Numerical investigation on flow around circular cylinders in tandem arrangement at a subcritical Reynolds number[J]. Journal of Fluids and Structures, 2008, 24(5): 680–699.

    Article  Google Scholar 

  11. GUO Xiao-hui, LIN Jian-zhong and CHENGXV T. et al. Flow past two rotating circular cylinders in a side-byside arrangement[J]. Journal of Hydrodynamics, 2009, 21(2): 143–151.

    Article  Google Scholar 

  12. SHARMAN B., LIEN F. S. and DAVIDSON L. et al. Numerical predictions of low Reynolds number flows over two tandem circular cylinders[J]. International Journal for Numerical Methods in Fluids, 2005, 47(5): 423–447.

    Article  Google Scholar 

  13. DENG Jian, REN An-lu and CHEN Wen-qu. Numerical simulation of flow-induced vibration on two circular cylinders in tandem arrangement[J]. Journal of Hydrodynamics, Ser. B, 2005, 17(6): 660–666.

    MATH  Google Scholar 

  14. DENG Jian, SHAO Xue-ming and REN An-lu. Vanishing of three-dimensionality in the wake behind a rotationally oscillating circular cylinder[J]. Journal of Hydrodynamics, Ser. B, 2007, 19(6): 751–755.

    Article  Google Scholar 

  15. SLAOUTI A., STANSBY P. K. Flow around two circular cylinders by the random-vortex method[J]. Journal of Fluids and Structures, 1992, 6(6): 641–670.

    Article  Google Scholar 

  16. LJUNGKRONA L., NORBERG C. and SUNDÉN B. Free-stream turbulence and tube spacing effects on surface pressure fluctuations for two tubes in an in-line arrangement[J]. Journal of Fluids and Structures, 1991, 5(6): 701–727.

    Article  Google Scholar 

  17. MORIYA M., ALAM M. and TAKAI K. et al. Fluctuating fluid forces of two circular cylinders in tandem arrangement at close spacing[J]. Transactions of the Japan Society of Mechanical Engineers, 2002, 68(669): 1400–1406.

    Article  Google Scholar 

  18. DEHKORDI B. G., JAFARI H. H. Numerical simulation of flow through tube bundles in in-line square and general staggered arrangements[J]. International Journal of Numerical Methods for Heat and Fluid Flow, 2009, 19(8): 1038–1062.

    Article  Google Scholar 

  19. PATANKAR S. V. Numerical heat transfer and fluid flow[M]. New York: Hemisphere Publishing, 1980, 4: 133–145.

    Google Scholar 

  20. WILLIAMSON C. H. K. 2-D and 3-D aspects of the wake of a cylinder, and their relation to wake computations[J]. Vortex Dynamics and Vortex Methods, 1991, 28: 719–751.

    Google Scholar 

  21. LIMA SILVA A. L. F., SILVEIRA-NETO A. and DAMASCENO J. J. R. Numerical simulation of twodimensional flows over a circular cylinder using the immersed boundary method[J]. Journal of Computational Physics, 2003, 189(2): 351–370.

    Article  Google Scholar 

  22. WANDERLEY J. B., LEVI C. Vortex induced loads on marine risers[J]. Ocean Engineering, 2005, 32(11-12): 1281–1295.

    Article  Google Scholar 

  23. GOPALKRISHNAN R. Vortex induced forces on oscillating bluff cylinders[C]. Ph. D. Thesis, Cambridge, MA, USA: Massachusetts Institute of Technology, 1993.

    Google Scholar 

  24. DONG S., KARNIADAKIS G. E. DNS of flow past a stationary and oscillating cylinder at Re = 10 000[J]. Journal of Fluids and Structures, 2005, 20(4): 519–531.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hamed Houri Jafari.

Additional information

Biography: DEHKORDI Behzad Ghadiri (1959-), Male, Ph.D., Assistant Professor

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dehkordi, B.G., Moghaddam, H.S. & Jafari, H.H. Numerical Simulation of Flow Over Two Circular Cylinders in Tandem Arrangement. J Hydrodyn 23, 114–126 (2011). https://doi.org/10.1016/S1001-6058(10)60095-9

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1016/S1001-6058(10)60095-9

Key words

Navigation