Hydrodynamic Study of Flow Past Cylinders with Different Diameters at High Reynolds Number

  • Kumar NarendranEmail author
  • Kumar Varma Kolahalam Vinay
  • Kantharaj Murali
  • Salem Kaushik
Conference paper
Part of the Lecture Notes in Civil Engineering book series (LNCE, volume 23)


Deepwater floating systems such as risers, jacket legs, etc., are coupled dynamical systems that undergoes severe hydrodynamic loading when subjected to harsh ocean environment conditions. The flow profiles of these floating structures exhibit complex flow patterns due to its interaction with ocean currents. In the present study, we present the numerical investigations of flow dynamics between the cylinders of different diameters in tandem, side-by-side and staggered arrangements for gap ratios varying from 0.75D to 4D at Re ranging from 3 × 105 to 1.2 × 106. Present study is focused on understanding the flow dynamics, which comprises of flow interferences, shedding of vortices and interaction of shear layers for the cylinders in different locations. Two-dimensional simulations are performed by adopting Reynolds Averaged Naviers–Stokes (RANS) approach and employing k-ω SST turbulence model. Hybrid mesh elements are adopted to capture the complex flow profiles. The elements closer to the cylinder wall are treated with boundary layer condition based on the y+ study performed. For various configurations parameters such as flow fields, time-averaged drag force and pressure coefficients are delineated in the study, for two cylinders with different diameters. To further, understand the effect of spacing ratio and the influence of large diameter cylinder over the smaller diameter cylinder a parametric study has been conducted. A comparative analysis is performed for Strouhal number and drag coefficient at various spacing ratio between the two cylinders. Earlier investigators observe a strong dependency of flow field over spacing ratio and position of the cylinders. The present study exhibits the variation of hydrodynamic forces for the large and small diameter cylinders which also delineates the significant changes in the flow profile. Numerical investigations are carried out by using RANS approach and adopting k-ω SST turbulence model. The adopted numerical approach is validated with the available measurements. Followed by a detailed analysis of lift, drag, and pressure forces are delineated for both small and large diameter cylinders. The hydrodynamic forces alter significantly for different cylinder positions. At side-by-side arrangement, the Cd for large and small diameter cylinder is higher for lower values of gap ratios and decreases as the gap ratio increases. Moreover, significant pressure fluctuations are observed for the cylinder at the wake side of the windward side cylinder, due to the wake interference.


Proximity interference region Wake interference region Shear layer inference Neighborhood interference Cylinders with different diameters Spacing ratio k-ω SST turbulence model Tandem Side-by-side and staggered arrangements 


  1. 1.
    Alam MM, Zhou Y (2007) Flow around two side-by-side closely spaced circular cylinders. J Fluids and Structures 23:799–805CrossRefGoogle Scholar
  2. 2.
    Baxendale AJ, Grant I, Barnes FH (1985) The flow past two cylinders having different diameters. Aeronaut J 125–134Google Scholar
  3. 3.
    Bearman PW (1967) The effect of base bleed on the flow behind a two-dimensional model with a blunt trailing edge. Aeronaut Q 18:207–224CrossRefGoogle Scholar
  4. 4.
    Biermann D, Herrnstein WH (1934) The interference between struts in various combinations. NACA Report No. 468Google Scholar
  5. 5.
    Bokaian A, Geoola F (1984) Wake displacement as cause of lift force on cylinder pair. ASCE J Eng Mech 111:92–99CrossRefGoogle Scholar
  6. 6.
    Gerrard JH (1978) The wakes of cylindrical bluff bodies at low Reynolds number. Philos Trans R Soc Lond A 288:351–382CrossRefGoogle Scholar
  7. 7.
    Gu ZF, Sun TF (1999) On interference between two circular cylinders in staggered arrangement at high subcritical Reynolds numbers. J Wind Eng Ind Aerodyn 80:287–309CrossRefGoogle Scholar
  8. 8.
    Hiwada M, Taguchi T, Mabuchi I, Kumada M (1979) Fluid flow and heat transfer around two circular cylinders of different diameters in cross-flow. Bull JSME 22:715–723CrossRefGoogle Scholar
  9. 9.
    Huhe-Aode Tatsuno M, Taneda S (1985) Visual studies of wake structure behind two cylinders in tandem arrangement. Rep Res Inst Appl Mech (Kyushu University, Japan) 32(99):1–20Google Scholar
  10. 10.
    Igarashi T (1982) Characteristics of a flow around two circular cylinders of different diameters arranged in tandem. Bull JSME 25:349–357CrossRefGoogle Scholar
  11. 11.
    Ko NWM, Wong PTY, Leung RCK (1996) Interaction of flow structures within bistable flow behind two circular cylinders of different diameters. Exp Thermal Fluid Sci 12:33–44CrossRefGoogle Scholar
  12. 12.
    Lam KM, Wong PTY, Ko NWM (1993) Interaction of flows behind two circular cylinders of different diameters in side-by-side arrangement. Exp Thermal Fluid Sci 7:189–201CrossRefGoogle Scholar
  13. 13.
    Lee T, Basu S (1997) Nonintrusive measurements of the boundary layer developing on a single and two circular cylinders. Exp Fluids 23:187–192CrossRefGoogle Scholar
  14. 14.
    Li J, Chambarel A, Donneaud M, Martin R (1991) Numerical study of laminar flow past one and two circular cylinders. Comput Fluids 19:155–170CrossRefGoogle Scholar
  15. 15.
    Ljungkrona L, Norberg C, Sunden B (1991) Free-stream turbulence and tube spacing effects on surface pressure fluctuations for two tubes in an in-line arrangement. J Fluids Struct 5:701–727CrossRefGoogle Scholar
  16. 16.
    Meneghini JR, Saltara F, Siqueira CLR, Ferrari JA Jr (2001) Numerical simulation of flow interference between two circular cylinders in tandem and side-by-side arrangements. J Fluids Struct 15:327–350CrossRefGoogle Scholar
  17. 17.
    Mittal S, Kumar V, Raghuvanshi A (1997) Unsteady incompressible flows past two cylinders in tandem and staggered arrangements. Int J Numer Methods Fluids 25:1315–1344CrossRefGoogle Scholar
  18. 18.
    Morkovin MV (1964) Flow around circular cylinder-a kaleidoscope of challenging fluid phenomena. In: Hansen AG (ed) Proceedings of the symposium on fully separated flows, ASME fluids engineering division conference, Philadelphia, USA, MayGoogle Scholar
  19. 19.
    Nepf HM (1999) Drag, turbulence and diffusion in flow through emergent vegetation. Water Resour Res 35(2):479–489CrossRefGoogle Scholar
  20. 20.
    Noarayanan LK, Murali K, Sundar V (2012) Performance of flexible emergent vegetation in staggered configuration as a mitigation measure for extreme coastal disasters. Nat Hazards 52(1)Google Scholar
  21. 21.
    Ohya YO, Okajima A, Hayashi M (1989) Wake interference and vortex shedding. In: Cheremisinoff NP (ed), Encyclopedia of fluid mechanics: aerodynamics and compressible flow, vol 8. Gulf Publishing Company, Houston, USA, pp 322–389Google Scholar
  22. 22.
    Roshko A (1961) Experiments on the flow past a circular cylinder at very high Reynolds number. J Fluid Mech 10(3):345–356. ISSN 0022-1120CrossRefGoogle Scholar
  23. 23.
    Sharman B, Lien FS, Davidson L, Norberg C (2005) Numerical prediction of low Reynolds number flows over two tandem circular cylinders. Int J Numer Meth Fluids 47:423–447CrossRefGoogle Scholar
  24. 24.
    Sumner D (2010) Two circular cylinders in cross-flow: A review. J Fluids Struct 26:849–899CrossRefGoogle Scholar
  25. 25.
    Suzuki N, Sato H, Iuchi M, Yamamoto S (1971) Aerodynamic forces acting on circular cylinders arranged in a longitudinal row. In: International wind conference wind effects on buildings and structures, Tokyo, Part II, pp 20-1–20-10Google Scholar
  26. 26.
    Williamson CHK (1985) Evolution of a single wake behind a pair of bluff bodies. J Fluid Mech 159:1–18CrossRefGoogle Scholar
  27. 27.
    Williamson CHK (1996) Vortex dynamics in the cylinder wake. Annu Rev Fluid Mech 28:477–539MathSciNetCrossRefGoogle Scholar
  28. 28.
    Wood CJ (1967) Visualization of an incompressible wake with base bleed. J Fluid Mech 29:259–272CrossRefGoogle Scholar
  29. 29.
    Xu J, Zhu R-Q (2009) Numerical simulation of VIV for an elastic cylinder mounded on the spring supports with low mass ratio, J Marine Sci Appl 8:237–245CrossRefGoogle Scholar
  30. 30.
    Zdravkovich MM (1977) Review of flow interference between two circular cylinders in various arrangements. ASME J Fluids Eng 99:618–633CrossRefGoogle Scholar
  31. 31.
    Zdravkovich MM (1987) The effects of interference between circular cylinders in cross flow. J Fluids and Struct 1:239–261CrossRefGoogle Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  • Kumar Narendran
    • 1
    Email author
  • Kumar Varma Kolahalam Vinay
    • 2
  • Kantharaj Murali
    • 2
  • Salem Kaushik
    • 2
  1. 1.Department of Mechanical EngineeringNational University of SingaporeSingaporeSingapore
  2. 2.Department of Ocean EngineeringIndian Institute of Technology MadrasChennaiIndia

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