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Numerical study of reduction of fluid forces acting on a square cylinder using a control plate

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Abstract

A numerical study on the effects of control plate on the fluid force reduction on a square cylinder has been carried out using lattice Boltzmann method where a configuration of a square cylinder with upstream control plate is studied. In the present computations we have studied the important flow characteristics for 0.1 ≤ l/w ≤ 1 and 1 ≤ g/D ≤ 10. The effects of the l/w and g/D on force reduction, flow separation and vortex shedding frequency have been studied with Reynolds number focused on 150. Vorticity structures, vortex shedding frequency and fluctuating forces and time-mean are presented and discussed. It was found that considerable change in the wake structure and fluid forces depending on the values of l/w and g/D. The numerical results show that there exists an optimum position where the force coefficients acting on the main square cylinder attains their minimum values. At the optimum position, the mean drag coefficient is reduced by 139.3%. Four different flow regimes were identified in this study at different g/D for selected range of l/w. The negative values of drag coefficient for the main square cylinder are also found for different combinations of l/w and g/D.

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References

  1. Islam SU, Zhou CY, Xie SAP (2012) Numerical simulation of flow past rectangular cylinders with different aspect ratios using the incompressible lattice Boltzmann method. J Mech Sci Tech 26:1027–1041

    Article  Google Scholar 

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

    Article  Google Scholar 

  3. Sohankar A, Davidson NCL (1998) Low Reynolds number flow around a square cylinder at incidence: study of blockage, onset of vortex shedding and outlet boundary condition. Int J Num Methods in Fluids 26:39–56

    Article  MATH  Google Scholar 

  4. Kelkar KM, Patankar SV (1992) Numerical prediction of vortex shedding behind a square cylinder. Int J Num Methods Fluids 14:327–341

    Article  MATH  Google Scholar 

  5. Mushyam A, Bergada JM (2017) A numerical investigation of wake and mixing layer interactions of flow past a square cylinder. Meccanica 52:107–123

    Article  MathSciNet  Google Scholar 

  6. Robichuax J, Balachandar S, Vanka SP (1999) Three-dimensional Floquet instability on the wake of square cylinder. Phys Fluids 11:560–578

    Article  MathSciNet  MATH  Google Scholar 

  7. Sohankar A, Norberg C, Davidson L (1999) Simulation of three-dimensional flow around a square cylinder at moderate Reynolds numbers. Phys Fluids 11:288–306

    Article  MATH  Google Scholar 

  8. Saha AK, Biswas G, Muralidhar K (2003) Three-dimensional study of flow past a square cylinder at low Reynolds numbers. Int J Heat Fluid Flow 24:54–66

    Article  Google Scholar 

  9. Bearman PW (1965) Investigation of flow behind a two-dimensional model with blunt trailing edge and fitted with splitter plates. J Fluid Mech 21:241–255

    Article  MATH  Google Scholar 

  10. Bearman PW (1967) The effect of base bleed on the flow behind a two-dimensional model with a blunt trailing edge. Aero Quar 18:207–224

    Article  Google Scholar 

  11. Zdravkovich MM (1981) Review and classification of various aerodynamic and hydrodynamic means for suppressing vortex shedding. J Wind Eng Ind Aerodyn 7:145–189

    Article  Google Scholar 

  12. Artana G, Sosa R, Moreau E, Touchard G (2003) Control of the near-wake flow around a circular cylinder with electrohydrodynamic actuators. Exp Fluids 35:580–588

    Article  Google Scholar 

  13. Jens HM, Fransson P, Konieczny PH, Alfredsson (2004) Flow around a porous cylinder subject to continuous suction or blowing. J Fluids Struct 19:1031–1048

    Article  Google Scholar 

  14. Zhou CY, Wang L, Huang W (2007) Numerical study of fluid force reduction on a circular cylinder using tripping rods. J Mech Sci Tech 21:1425–1434

    Article  Google Scholar 

  15. Chen YJ, Shao CP (2013) Suppression of vortex shedding from a rectangular cylinder at low Reynolds numbers. J Fluids Struct 43:15–27

    Article  Google Scholar 

  16. Gupta A, Saha AK (2019) Suppression of vortex shedding in flow around a square cylinder using control cylinder. Euro J Mech B Fluids 76:276–291.

  17. Kwon K, Choi H (1996) Control of laminar vortex shedding behind a circular cylinder using splitter plates. Phys Fluids (1994-present) 8:479–486.

  18. Alam MM, Sakamoto H, Zhou Y (2006) Effect of a t-shaped plate on reduction in fluid forces on two tandem cylinders in a cross-flow. J Wind Eng Ind Aerodyn 94:525–551

    Article  Google Scholar 

  19. Anderson E, Szewczyk A (1997) Effects of a splitter plate on the near wake of a circular cylinder in 2 and 3-dimensional flow configurations. Exp Fluids 23:161–174

    Article  Google Scholar 

  20. You D, Choi H, Choi MR, Kang SH (1998) Control of flow-induced noise behind a circular cylinder using splitter plates. AIAA J 36:1961–1967

    Article  Google Scholar 

  21. Uffinger T, Becker S, Delgado A (2008) Investigations of the flow field around different wall-mounted square cylinder stumps geometries. In: Proceedings of the 14th international symposium on application of laser techniques to fluid mechanics, pp 7–10.

  22. Ali MSM, Doolan CJ, Wheatley V (2011) The sound generated by a square cylinder with a splitter plate at low Reynolds number. J Sound Vib 330:3620–3635

    Article  Google Scholar 

  23. Ogunremi A, Sumner D (2015) The effect of a splitter plate on the flow around a finite prism. J Fluids Struct 59:1–21

    Article  Google Scholar 

  24. Islam SU, Manzoor R, Zhou CY, Rashdi MM, Khan A (2017) Numerical investigation of fluid flow past a square cylinder using upstream, downstream and dual splitter plates. J Mech Sci Tech 31:669–687

    Article  Google Scholar 

  25. Chauhan MK, Dutta S, More BS, Gandhi BK (2018) Experimental investigation of flow over a square cylinder with an attached splitter plate at intermediate Reynolds number. J Fluid Struct 76:319–335

    Article  Google Scholar 

  26. Sharma K, Dutta S (2020) Flow control over a square cylinder using attached rigid and flexible splitter plate at intermediate flow regime. Phys Fluids 32:014104.

  27. An B, Bergada JM, Mellibovsky M, Sang WM, Xi C (2020) Numerical investigation on the flow around a square cylinder with an upstream splitter plate at low Reynolds numbers. Mecc 55:1037–1059

    Article  MathSciNet  Google Scholar 

  28. Abbasi S, Souri M (2021) On the passive control of aeroacoustics noise behind a square cylinder. J Braz Soc Mech Sci Eng, pp 43–58.

  29. Sakamoto H, Takeuchi N, Haniu H, Tan K (1997) Suppression of fluid forces acting on square prism by passive control. ASME J Fluids Eng 119:506–511

    Article  Google Scholar 

  30. Alam MM, Moriya M, Takai K, Sakamoto H (2002) Suppression of fluid forces acting on two square prisms in a tandem arrangement by passive control of flow. J Fluids Struc 16:1073–1092

    Article  Google Scholar 

  31. Zhou L, Cheng M, Hung KC (2005) Suppression of fluid force on a square cylinder by flow control. J Fluids Struc 21:151–167

    Article  Google Scholar 

  32. Islam SU, Manzoor R, Khan U, Nazeer G, Hassan S (2018) Drag reduction on a square cylinder using multiple detached control cylinders. KSCE J Civil Eng 22:2023–2034

    Article  Google Scholar 

  33. Malekzadeh S, Sohankar A (2012) Reduction of fluid forces and heat transfer on a square cylinder in a laminar flow regime using a control plate. Int J Heat Fluid Flow 34:15–27

    Article  Google Scholar 

  34. Bahrami A, Hacisevki H (2019) Comparison of flow structures in the wake region of a square cylinder or a U shape cylinder. O Eng 187:106211(1–11).

  35. Teimourian A, Hacisevki H, Bahrami A (2017) Experimental study on suppression of vortex street behind perforated square cylinder. J Theo App Mech 55:1397–1408

    Article  Google Scholar 

  36. Islam S.U, Islam Z.U, Zhou C.Y (2021) The wake and force statistics of flow past tandem rectangles. O En. 236:109476 (1–15).

  37. Bhatnagar PL, Gross EP, Krook M (1954) A model for collision processes in gases. 1. Small amplitude processes in charged and neutral one-component systems. Phys Rev 94:511–514

    Article  MATH  Google Scholar 

  38. Kruger T, Kusumaatmaja H, Kuzmin A, Shardt O, Silva G, Viggen EM (2017) The Lattice Boltzmann method: principles and practice. Springer, Heidelberg.

  39. Mohamad AA (2019) Lattice Boltzmann method: fundamentals and engineering applications with computer codes, 2nd edn. Springer, London Ltd

    Book  MATH  Google Scholar 

  40. Succi S (2001) The Lattice Boltzmann equation for fluid dynamics and beyond. Oxford University Press, Oxford

    MATH  Google Scholar 

  41. Wolf-Gladrow D (2000) Lattice-Gas Cellular Automat and Lattice Boltzmann models. Springer, Heidelberg

    Book  MATH  Google Scholar 

  42. Guo Z, Shu S (2013) Lattice Boltzmann method and its applications in engineering. Advances in Computational Fluid Dynamics. Vol. 3. World Scientific, Singapore

  43. He XH, Luo LS (1997) Theory of the lattice Boltzmann method: from the Boltzmann equation to the lattice Boltzmann equation. Phys Rev E 56:6811–6817

    Article  Google Scholar 

  44. Qian Y, d’Humieres D, Lallemand P (1992) Lattice BGK models for Navier-Stokes equation. EPL (Europhysics Letters) 17:479–484

    Article  MATH  Google Scholar 

  45. Guo Z, Liu H, Luo LS, Xu K (2008) A comparative study of the LBE and GKS methods for 2D near incompressible laminar flows. J Comp Phys 227:4955–4976

    Article  MathSciNet  MATH  Google Scholar 

  46. Yu D, Mei R, Luo LS, Shyy W (2003) Viscous flow computations with the method of lattice Boltzmann equation. Prog Aero Sci 39:329–367

    Article  Google Scholar 

  47. Sharma A, Eswaran V (2004) Heat and fluid flow across a square cylinder in the two-dimensional laminar flow regime. Num Heat Trans Part A 45:247–269

    Article  Google Scholar 

  48. Norberg C (1993) Flow around rectangular cylinders: pressure forces and wake frequencies. J Wind Eng Ind Aerod 49:187–196

    Article  Google Scholar 

  49. Shimizu Y, Tanida Y (1978) Fluid forces acting on cylinders of rectangular cross-section. Trans Jpn Soc Mech Eng B 44:2699–2706

    Article  Google Scholar 

  50. Luo SC, Tong XH, Khoo BC (2007) Transition phenomena in the wake of a square cylinder. J Fluids Struc 23:227–248

    Article  Google Scholar 

  51. Sohankar A, Davidson L, Norberg C (1995) Numerical simulation of unsteady flow around a square two-dimensional cylinder. Twelfth Aus. Fluid Mech. Conf. Univ. Sydney, Aus., pp 1–4.

  52. Franke R, Rodi W, Schonung B (1990) Numerical calculation of laminar vortex shedding flow past cylinders. J Wind Eng Ind Aerod 35:237–257

    Article  Google Scholar 

  53. Singh AP, De AK, Carpenter VK, Eswaran V, Muralidhar K (2009) Flow past a transversely oscillating square cylinder in free stream at low Reynolds numbers. Int J Num Methods Fluids 61:658–682

    Article  MATH  Google Scholar 

  54. Chatterjee D, Biswas G, Amiroudine S (2010) Numerical simulation of flow past row of square cylinders for various separation ratios. Comp Fluids 39:49–59

    Article  MATH  Google Scholar 

  55. Zheng Q, Alam MM (2017) Intrinsic features of flow past three square prisms in side-by-side arrangement. J Fluid Mech 826:996–1033

    Article  MathSciNet  MATH  Google Scholar 

  56. 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 Tech 30:1691–1704

    Article  Google Scholar 

Download references

Acknowledgements

The first author Mr. Zia-ul-Islam (PhD student) especially grateful to Chinese Scholarship Council (CSC) for providing PhD scholarship.

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Authors and Affiliations

  1. School of Mechanical Engineering and Automation, Harbin Institute of Technology, Shenzhen, 518055, China

    Zia-ul-Islam & Chao Ying Zhou

  2. Department of Mathematics, COMSATS University Islamabad, Islamabad, 44000, Pakistan

    Shams-ul-Islam

  3. Department of Mathematics, University of Balochistan, Quetta, 87300, Pakistan

    Naveed Sheikh

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  1. Zia-ul-Islam
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  2. Shams-ul-Islam
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  4. Naveed Sheikh
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Correspondence to Zia-ul-Islam.

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Zia-ul-Islam, Shams-ul-Islam, Zhou, C.Y. et al. Numerical study of reduction of fluid forces acting on a square cylinder using a control plate. J Braz. Soc. Mech. Sci. Eng. 44, 4 (2022). https://doi.org/10.1007/s40430-021-03312-x

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