Skip to main content
Log in

A LES study of the flow interference between tandem square cylinder pairs

  • Original Article
  • Published:
Theoretical and Computational Fluid Dynamics Aims and scope Submit manuscript

Abstract

The results of an investigation on the interference effects of the tandem square cylinders exposed to a uniform flow are presented in this paper. Time-dependent and three-dimensional flow simulations are carried out using large eddy simulation with a one-equation subgrid model. An incompressible three-dimensional finite volume code with a collocated grid arrangement is used for solving filtered Navier–Stokes equations. These equations are solved with an implicit fractional two-step method. Simulations are conducted with different Reynolds numbers between 103 and 105. The longitudinal spacing between the cylinders is selected 4D for the chosen Reynolds numbers, where D is the side of the cylinders. Also the effect of the spacing between cylinders, ranging from 1D to 12D, is studied for the selected Reynolds numbers. The instantaneous flow field is studied by analyzing the vortices, pressure, streamlines and Q-criterion to assist understanding of the various flow patterns, vortical structures and Kelvin–Helmholtz vortices in the separating shear layers. The hysteresis is observed in a certain range of the gap spacing, which this range depends on the selected Reynolds number. The global results are also computed and compared with available experimental results. The results indicate that there is a satisfactory agreement between the predictions and available experimental data considering the fine grid adopted.

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. Zdravkovich M.M.: Review of interference-induced oscillations in flow past two circular cylinders in various arrangements. J. Wind Eng. Ind. Aerodyn 28, 183–200 (1988)

    Article  Google Scholar 

  2. Ohya Y., Okajima A., Hayashi M.: Wake interference and vortex shedding. Encycl. Fluid Mech. 2, 323 (1989)

    Google Scholar 

  3. Igarashi T.: Characteristics of the flow around two circular cylinders arranged in tandem, (First Report). Bull. JSME 24(188), 323–331 (1981)

    Article  Google Scholar 

  4. Kim M., Arie M., Tamura H., Mori H.: Vortex shedding for two circular cylinders in staggered arrangement. J. Fluid Eng. 102, 166 (1980)

    Article  Google Scholar 

  5. Kim H.J., Durbin P.A.: Investigation of the flow between a pair of circular cylinders in the flopping regime. J. Fluid Mech. 196, 431 (1988)

    Article  Google Scholar 

  6. Zhou Y., Zhang H.J., Yiu M.W.: The turbulent wake of two side-by-side cylinders. J. Fluid Mech. 443, 197–205 (2002)

    Google Scholar 

  7. Brun, C., Tenchine, D., Hopfinger, E.J.: Role of the shear layer instability in the near wake behavior of the flow behind a closely spaced pair of cylinders. Exp. Fluids 36(2), 334–343 (2004)

  8. Yang, Z., Igarashi, H., Martin, M., Hu, H.: An experimental investigation on aerodynamics hysteresis of a low-Reynolds number airfoil. 46th AIAA Aerospace Sciences Meeting and Exhibit, Reno, Nevada. AIAA-2008-0315, 7–10 Jan 2008

  9. Sakamoto H., Haniu H., Obata Y.: Fluctuating forces acting on two square prisms in a tandem arrangement. J. Wind Eng. Ind. Aerodyn. 26, 85–103 (1987)

    Article  Google Scholar 

  10. Liu C.H., Chen J.M.: Observations of hysteresis in flow around two square cylinders in a tandem arrangement. J. Wind Eng. Ind. Aerodyn. 90, 1019–1050 (2002)

    Article  Google Scholar 

  11. Mahbub Alam M.D., Moriya M., Takai K., Sakamoto H.: Suppression of fluid forces acting on two square prisms in a tandem arrangement by passive control flow. J. Fluids Struct. 16, 1073–1086 (2002)

    Article  Google Scholar 

  12. Yen S.C., San K.C., Chuang T.H.: Interactions of tandem square cylinders at low Reynolds numbers. Exp. Therm. Fluid Sci. 32, 927–938 (2008)

    Article  Google Scholar 

  13. Inoue, O., Mori, M., Hatakeyama, N.: Aeolian tones radiated from flow past two square cylinders in tandem. Phys. Fluids 18, 046101 (2006)

  14. Sohankar A., Etminan A.: Forced convection heat transfer from tandem square cylinders in cross flow at low Reynolds numbers. Int. J. Numer. Methods Fluids 60, 733–751 (2009)

    Article  MATH  Google Scholar 

  15. Sohankar A.: A numerical investigation of the flow over a pair of identical square prisms in a tandem arrangement. Int. J. Numer. Methods Fluids 70, 1244–1257 (2011)

    Article  MathSciNet  Google Scholar 

  16. Nikfarjam F., Sohankar A.: Power-law fluids flow and heat transfer over two tandem square cylinders: effects of Reynolds number and Power-law index. J. Acta Mech. 224, 1115–1132 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  17. Mirzaei M., Sohankar A.: Numerical study of convective heat transfer and fluid flow around two side-by-side square cylinders using \({{\rm k}-\omega-{\rm v}^{2}}\)-f turbulence model. Heat Mass Transf. 49, 1755–1769 (2013)

    Article  Google Scholar 

  18. Bloor M.S.: The transition to turbulence in the wake of a circular cylinder. J. Fluid Mech. 19, 290 (1964)

    Article  MATH  Google Scholar 

  19. Prasad A., Williamson C.H.K.: The instability of the shear layer separating from a bluff body. J. Fluid Mech. 333, 375 (1997)

    Article  MathSciNet  Google Scholar 

  20. Sohankar A., Norberg C., Davidson L.: Simulation of unsteady 3D flow around a square cylinder at moderate Reynolds number. Phys. Fluids 11, 288–306 (1999)

    Article  MATH  Google Scholar 

  21. Sohankar A.: Flow over a bluff body from moderate to high Reynolds numbers using large eddy simulation. Comput. Fluids 35, 1154–1168 (2006)

    Article  MATH  Google Scholar 

  22. Sohankar A., Davidson L., Norbeg C.: Large eddy simulation of flow past a square cylinder: comparison of different subgrid scale models. ASME J. Fluids Eng. 122, 39–47 (2000)

    Article  Google Scholar 

  23. Davidson, L.: Large eddy simulation: a dynamic one-circulating flow. In: 11th International Symposium on Turbulent Shear Flow, Grenoble, vol. 3, pp. 26.1–26.6 (1997)

  24. Krajnovic S., Davidson L.: Large eddy simulation of the flow around a bluff body. AIAA J. 40(5), 927–936 (2002)

    Article  Google Scholar 

  25. Schmidt S., Thiele F.: Comparison of numerical methods applied to the flow over wall-mounted cubes. Int. J. Heat Fluid Flow 23, 330–339 (2002)

    Article  Google Scholar 

  26. Sohankar A.: Large eddy simulation of flow past rectangular section cylinders: side ratio effects. J. Wind Eng. Ind. Aerodyn. 96, 640–655 (2008)

    Article  Google Scholar 

  27. Germano M., Piomelli U., Moin P., Cabot W.H.: A dynamic subgrid-scale eddy viscosity model. Phys. Fluids A 3, 1760–1765 (1991)

    Article  MATH  Google Scholar 

  28. Sohankar, A.: Numerical study of laminar, transitional and turbulent flow past rectangular cylinders. PhD. thesis, Department of Thermo and Fluid Dynamics, Chalmers University of Technology, Gothenburg, Sweden (1998)

  29. Hunt, J.C.R., Wray A., Moin P.: Eddies, stream, and convergence zones in turbulent flows. In: Center of Turbulence Research Report CTR-S88, p. 193 (1988)

  30. Brun C., Aubrun S., Goossens T., Ravier Ph.: Coherent structures and their frequency signature in the separated shear layer on the sides of a square cylinder. Flow Turbul. Combust. 81, 97–114 (2008)

    Article  MATH  Google Scholar 

  31. Brun C., Goossens T.: 3D coherent vortices in the turbulent near wake of a square cylinder. Comptes Rendus M’ecanique 336(4), 363–369 (2008)

    Article  Google Scholar 

  32. Minguez M., Brun C., Pasquetti R., Serre E.: Experimental and high order LES analysis of the near wall flow over a square cylinder.. Int. J. Fluid Flow 32(3), 558–566 (2011)

    Article  Google Scholar 

  33. Sohankar, A., Norberg, C., Davidson, L.: Numerical simulation of unsteady flow around a square two-dimensional cylinder. In: Bilger, R.W. (ed.) Proceedings of the 12th Australasian Fluid Mechanics Conference, The University of Sydney, Australia, pp. 517–520 (1995)

  34. Okajima A.: Strouhal numbers of rectangular cylinders. J. Fluid Mech. 123, 379–398 (1982)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ahmad Sohankar.

Additional information

Communicated by Oleg V. Vasilyev.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sohankar, A. A LES study of the flow interference between tandem square cylinder pairs. Theor. Comput. Fluid Dyn. 28, 531–548 (2014). https://doi.org/10.1007/s00162-014-0329-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00162-014-0329-2

Keywords

Navigation