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Transition from steady to unsteady state flow around two inline cylinders under the effect of Reynolds numbers

  • Waqas Sarwar Abbasi
  • Shams Ul Islam
Technical Paper
  • 146 Downloads

Abstract

Numerical computations are carried out to analyze the transition in flow states around two inline square cylinders under the effect of Reynolds numbers (Re). For this analysis, Re is varied from 1 to 110 at a fixed spacing ratio g = 3.5. The results are presented in the form of vorticity contours, streamline graphs, temporal histories of drag and lift coefficients and power spectrum of lift coefficients. Also the physical parameters like average drag coefficient, Strouhal number and the root-mean-square values of drag and lift coefficients are presented as a function of Re. Three different states of flow are found in this study by systematically varying Re: (a) steady state, (b) quasi-unsteady state, and (c) unsteady state. The points of separation and reattachment of shear layers depend on Re. This study shows that the values of physical parameters strongly depend on flow states and change their behavior when flow mode changes from one state to another. A significant reduction in the values of flow induced forces found due to the presence of two cylinders in the flow field when compared to single cylinder values. The results of the present study are also compared with the available data of other researchers and found to be in good agreement.

Keywords

Drag coefficient Inline cylinders Reynolds numbers Steady state Strouhal number 

References

  1. 1.
    Zdravkovich MM (1987) The effects of interference between circular cylinders in cross flow. J Fluids Struct 1:239–261CrossRefGoogle Scholar
  2. 2.
    Niemann HJ, Holscher N (1990) A review of recent experiments on the flow past circular cylinders. J Wind Eng Ind Aerodyn 33:197–209CrossRefGoogle Scholar
  3. 3.
    Shih WCL, Wang C, Coles D, Roshko A (1993) Experiments on flow past rough circular cylinders at large Reynolds numbers. J Wind Eng Ind Aerodyn 49:351–368CrossRefGoogle Scholar
  4. 4.
    Okajima A (1982) Strouhal numbers of rectangular cylinders. J Fluid Mech 123:379–398CrossRefGoogle Scholar
  5. 5.
    Dutta S, Panigrahi PK, Muralidhar K (2004) Effect of orientation on the wake of a square cylinder at low Reynolds numbers. Indian J Eng Mater 11:447–459Google Scholar
  6. 6.
    Gera B, Sharma PK, Singh RK (2010) CFD analysis of 2D unsteady flow around a square cylinder. Int J Appl Eng Res 1:602–610Google Scholar
  7. 7.
    Sohankar A, Davidson L, Norberg C (1995) Numerical simulation of unsteady flow around a square two-dimensional cylinder. In: Twelfth Australasian Fluid Mechanics Conference, The University of Sydney, Australia, 517–520Google Scholar
  8. 8.
    Manzoor S, Khawar J, Sheikh NA (2013) Vortex-induced vibrations of a square cylinder with damped free-end conditions. Adv Mech Eng 2013:1–12Google Scholar
  9. 9.
    Islam SU, Rahman H, Abbasi WS, Shahina T (2015) Lattice Boltzmann study of wake structure and force statistics for various gap spacings between a square cylinder with a detached flat plate. Arab J Sci Eng 40:2169–2182CrossRefGoogle Scholar
  10. 10.
    Rajani BN, Kandasamy A, Majumdar S (2009) Numerical simulation of laminar flow past a circular cylinder. Appl Math Model 33:1228–1247MathSciNetCrossRefzbMATHGoogle Scholar
  11. 11.
    Kang S (2003) Characteristics of flow over two circular cylinders in a side-by-side arrangement at low Reynolds numbers. Phys Fluids 15:2486–2498CrossRefzbMATHGoogle Scholar
  12. 12.
    Wang S, Tian F, Jia L, Lu X, Yin X (2010) Secondary vortex street in the wake of two tandem circular cylinders at low Reynolds number. Phys Rev 81:036305-1–036305-9Google Scholar
  13. 13.
    Vikram CK, Gowda YTK, Ravindra HV, Gowda CJG, Manu (2011) Numerical simulation of two dimensional unsteady flow past two square cylinders. Int J Technol Eng Syst 2(3):355–360Google Scholar
  14. 14.
    Inoue O, Mori M, Hatakeyama N (2006) Aeolian tones radiated from flow past two square cylinders in tandem. Phys Fluids 18(4):046101-1–046101-15Google Scholar
  15. 15.
    Sharman B, Lien FS, Davidson L, Norberg C (2005) Numerical predictions of flow Reynolds number flows over two tandem circular cylinders. Int J Numer Methods Fluids 47:423–447CrossRefzbMATHGoogle Scholar
  16. 16.
    Kim MK, Kim DK, Yoon SH, Lee DH (2008) Measurements of the flow fields around two square cylinders in a tandem arrangement. J Mech Sci Technol 22:397–407CrossRefGoogle Scholar
  17. 17.
    Sakamoto H, Haniu H, Obata Y (1987) Fluctuating forces acting on two square prisms in a tandem arrangement. J Wind Eng Ind Aerodyn 26:85–103CrossRefGoogle Scholar
  18. 18.
    Sohankar A (2011) A numerical investigation of the flow over a pair of identical square cylinders in a tandem arrangement. Int J Numer Methods Fluids 70:1244–1257MathSciNetCrossRefGoogle Scholar
  19. 19.
    Patil PP, Tiwari S (2009) Numerical investigation of laminar unsteady wakes behind two inline square cylinders confined in a channel. Eng Appl Comput Fluid Mech 3(3):369–385Google Scholar
  20. 20.
    Etminan A (2013) Flow and heat transfer over two bluff bodies from very low to high Reynolds numbers in the laminar and turbulent flow regimes. Int J Adv Des Manuf Technol 6(2):61–72Google Scholar
  21. 21.
    Igarashi T, Suzuki K (1984) Characteristics of the flow around three circular cylinders arranged in line. Bull JSME 27(233):2397–2404CrossRefGoogle Scholar
  22. 22.
    Abbasi WS, Islam SU, Saha SC, Gu YT, Zhou CY (2014) Effect of Reynolds numbers on flow past four square cylinders in an in-line square configuration for different gap spacings. J Mech Sci Technol 28:539–552CrossRefGoogle Scholar
  23. 23.
    Islam SU, Abbasi WS, Khan A (2016) The effect of Reynolds numbers for unequal gap spacings on flow past three square cylinders arranged in-line. J Braz Soc Mech Sci Technol 38:1609–1634CrossRefGoogle Scholar
  24. 24.
    Manzoor R, Islam SU, Abbasi WS, Parveen S (2016) Variation of wake patterns and force coefficients of the flow past square bodies aligned inline. J Mech Sci Technol 30:1691–1704CrossRefGoogle Scholar
  25. 25.
    Islam SU, Abbasi WS, Ying ZC (2016) Transitions in the unsteady wakes and aerodynamic characteristics of the flow past three square cylinders aligned inline. Aerosp Sci Technol 50:96–111CrossRefGoogle Scholar
  26. 26.
    Mohammad AA (2011) Lattice Boltzmann method: fundamentals and engineering applications with computer codes. Springer, New YorkCrossRefGoogle Scholar
  27. 27.
    Chopard B, Luthi PO, Masselot A (2002) Cellular automata and lattice Boltzmann techniques: an approach to model and simulate complex systems. Adv Complex Syst 5:103–246MathSciNetCrossRefzbMATHGoogle Scholar
  28. 28.
    Boix AC (2013) Application of the Lattice Boltzmann Method to issues of coolant flows in nuclear power reactors. Master’s thesis, Technische Universität MünchenGoogle Scholar
  29. 29.
    Breuer M (1998) Large eddy simulation of the sub-critical flow past a circular cylinder: numerical and modeling aspects. Int J Numer Methods Fluids 28:1281–1302CrossRefzbMATHGoogle Scholar
  30. 30.
    Viggen EM (2009) The Lattice Boltzmann method with applications in acoustics. Master’s thesis, NTNU, NorwayGoogle Scholar
  31. 31.
    Chapman S, Cowling TG (1970) Mathematical theory of non-uniform gases, 3rd edn. Cambridge University Press, CambridgezbMATHGoogle Scholar
  32. 32.
    Wolf-Gladrow DA (2005) Lattice-gas cellular automata and Lattice Boltzmann models-an introduction. Springer, New YorkzbMATHGoogle Scholar
  33. 33.
    Guo Z, Liu H, Luo L-S, Xu K (2008) A comparative study of the LBE and GKS methods for 2D near incompressible laminar flows. J Comput Phys 227:4955–4976MathSciNetCrossRefzbMATHGoogle Scholar
  34. 34.
    Gallivan MA, Noble DR, Georgiadis JG, Buckius RO (1997) An evaluation of the bounce-back boundary condition for lattice Boltzmann simulations. Int J Numer Methods Fluids 25(3):249–263CrossRefzbMATHGoogle Scholar
  35. 35.
    Lankadasu A, Vengadesan S (2007) Interference effect of two equal-sized square cylinders in tandem arrangement: with planar shear flow. Int J Numer Methods Fluids 57:1005–1021CrossRefzbMATHGoogle Scholar
  36. 36.
    Xu G, Zhou Y (2004) Strouhal numbers in the wake of two inline cylinders. Exp Fluids 37:248–256CrossRefGoogle Scholar
  37. 37.
    Han Z, Zhou D, Gui X (2012) Flow past two tandem circular cylinders using Spectral element method. In: the Seventh International Colloquium on Bluff Body Aerodynamics and Applications (BBAA7), Shanghai, ChinaGoogle Scholar
  38. 38.
    Park J, Kwon K, Choi H (1998) Numerical solutions of flow past a circular cylinder at Reynolds numbers up to 160. KSME Int J 12:1200–1205CrossRefGoogle Scholar

Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2018

Authors and Affiliations

  1. 1.Department of MathematicsAir UniversityIslamabadPakistan
  2. 2.Department of MathematicsCOMSATS Institute of Information TechnologyIslamabadPakistan

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