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3D Numerical investigation of a rounded corner square cylinder for supercritical flows

  • Vishwanath, Nivedan (Department of Mechanical Engineering, BITS Pilani Hyderabad Campus) ;
  • Saravanakumar, Aditya K. (Department of Mechanical Engineering, BITS Pilani Hyderabad Campus) ;
  • Dwivedi, Kush (Department of Mechanical Engineering, BITS Pilani Hyderabad Campus) ;
  • Murthy, Kalluri R.C. (Department of Mechanical Engineering, BITS Pilani Hyderabad Campus) ;
  • Gurugubelli, Pardha S. (Department of Mechanical Engineering, BITS Pilani Hyderabad Campus) ;
  • Rajasekharan, Sabareesh G. (Department of Mechanical Engineering, BITS Pilani Hyderabad Campus)
  • Received : 2022.01.29
  • Accepted : 2022.06.28
  • Published : 2022.07.25

Abstract

Tall buildings are often subjected to steady and unsteady forces due to external wind flows. Measurement and mitigation of these forces becomes critical to structural design in engineering applications. Over the last few decades, many approaches such as modification of the external geometry of structures have been investigated to mitigate wind-induced load. One such proven geometric modification involved the rounding of sharp corners. In this work, we systematically analyze the impact of rounded corner radii on the reducing the flow-induced loading on a square cylinder. We perform 3-Dimensional (3D) simulations for high Reynolds number flows (Re=1 × 105) which are more likely to be encountered in practical applications. An Improved Delayed Detached Eddy Simulation (IDDES) method capable of capturing flow accurately at large Reynolds numbers is employed in this study. The IDDES formulation uses a k-ω Shear Stress Transport (SST) model for near-wall modelling that prevents mesh-induced separation of the boundary layer. The effects of these corner modifications are analyzed in terms of the resulting variations in the mean and fluctuating components of the aerodynamic forces compared to a square cylinder with no geometric changes. Plots of the angular distribution of the mean and fluctuating coefficient of pressure along the square cylinder's surface illustrate the effects of corner modifications on the different parts of the cylinder. The windward corner's separation angle was observed to decrease with an increase in radius, resulting in a narrower and longer recirculation region. Furthermore, with an increase in radius, a reduction in the fluctuating lift, mean drag, and fluctuating drag coefficients has been observed.

Keywords

Acknowledgement

The authors sincerely acknowledge the financial support received from LIGO India to carry out the following study.

References

  1. Kawai, H. (1998), "Effect of corner modifications on aeroelastic instabilities of tall buildings", J. Wind Eng. Ind. Aerod., 74-76, 719-729. https://doi.org/10.1016/S0167-6105(98)00065-8.
  2. Shiraishi, N., Matsumoto, M., Shirato, H. and Ishizaki, H. (1988), "On aerodynamic stability effects for bluff rectangular cylinders by their corner-cut", Journal of Wind Engineering and Industrial Aerodynamics, 28, 371-380. https://doi.org/10.1016/0167-6105(88)90133-X.
  3. Rehacek, D., Khel, T., Kucera, J., Vopravil, J. and Petera, M. (2017), "Effect of windbreaks on wind speed reductionand soil protection against wind erosion", Soil Water Res., 12, 128-135. https://doi.org/10.1016/j.jaridenv.2004.10.005.
  4. Cornelis, W.M. and Gabriels, D. (2005), "Optimal windbreak design for wind-erosion control", J. Arid Environ, 61, 315-332. https://doi.org/10.1016/j.jaridenv.2004.10.005.
  5. Tsai, B. and Shaiu, B. (2011), "Experimental study on the flow characteristics for wind over a two-dimensional upwind slope escarpment", J. Marine Sci. Technol., 19(5), 1. http://dx.doi.org/10.51400/2709-6998.2159.
  6. Tse, K.T., Hitchcock, P.A., Kwok, K.C.S., Thepmongkorna, S. and Chanb, C.M. (2009), "Economic perspectives of aerodynamic treatments of square tall buildings", J. Wind Eng. Ind. Aerod., 97, 455-467. https://doi.org/10.1016/j.jweia.2009.07.005.
  7. Kwok, K.C.S., Wilhelm, P.A. and Wilkie, B.G. (1988), "Effect of edge configuration on wind-induced response of tall buildings", Eng. Struct., 10, 135-140. https://doi.org/10.1016/0141-0296(88)90039-9.
  8. Young-Moon, K., Ki-Pyo, Y. and Nag-Ho, K. (2008), "Acrosswind responses of an aeroelastic tapered tall building", J. Wind Eng. Ind. Aerod., 96(8-9), 1307-1319. http://dx.doi.org/10.1016/j.jweia.2008.02.038.
  9. Haque, M.N. (2020), "Effectiveness of corner modification to optimize aerodynamic responses of square cylinder", J. Phys.: Conference Series, 1519, 12-18. https://doi.org/10.1088/1742-6596/1519/1/012018.
  10. Aswathy, M.S., Amrita, K.K., Hariprasad, C.M. and Kumar, R.A. (2015), "Near-wake flow structures of a corner-chamfered square cylinder at higher harmonic excitations", In Fluids Engineering Division Summer Meeting, American Society of Mechanical Engineers. https://doi.org/10.1115/AJKFluids2015-12675.
  11. Yi, L., Chao, L., Qiu-Sheng, L., Qian, S., Xuan, H. and Yong-Gui, L. (2020), "Aerodynamic performance of CAARC standard tall building model by various corner chamfers", J. Wind Eng. Ind. Aerod., 202, 104-197. https://doi.org/10.1016/j.jweia.2020.104197.
  12. Delany, N.K. and Sorensen, N.E. (1953), Low-Speed Drag of Cylinders of Various Shapes. https://digital.library.unt.edu/ark:/67531/metadc56716/.
  13. Lee, B.E. (1975), "The effect of turbulence on the surface pressure field of a square prism", J. Fluid Mech., 69, 263-282. https://doi.org/10.1017/S0022112075001437.
  14. Lee, B.E. (1975), "Some effects of turbulence scale on the mean forces on a bluff body", J. Wind Eng. Ind. Aerod., 1, 361-370. https://doi.org/10.1016/0167-6105(75)90030-6.
  15. Okamoto, S. and Uemura, N. (1991), "Effect of rounding sidecorners on aerodynamic forces and turbulent wake of a cube placed on a ground plane", Experimen. Fluids, 11, 58-64. https://doi.org/10.1007/BF00198432.
  16. Tamura, T. and Miyagi, T. (1999), "The effect of turbulence on aerodynamic forces on a square cylinder with various corner shapes", J. Wind Eng. Ind. Aerod., 83, 135-145. https://doi.org/10.1016/S0167-6105(99)00067-7.
  17. Hu, J.C., Zhou, Y. and Dalton, C. (2006), "Effects of the corner radius on the near wake of a square prism", Experimen. Fluids, 40, 106-118. https://doi.org/10.1007/s00348-005-0052-2
  18. Jaiman, R.K., Sen, S. and Gurugubelli, P.S. (2015), "A fully implicit combined field scheme for freely vibrating square cylinders with sharp and rounded corners", Comput. Fluids, 112. https://doi.org/10.1016/j.compfluid.2015.02.002.
  19. Carassale, L., Freda, A. and Marre-Brunenghi, M. (2014), "Experimental investigation on the aerodynamic behavior of square cylinders with rounded corners", J. Fluids Struct., 112, 195-204. https://doi.org/10.1016/j.jfluidstructs.2013.10.010.
  20. Wang, X. and Gu, M. (2015), "Experimental investigation of Reynolds number effects on 2D rectangular prisms with various side ratios and rounded corners", Wind Struct., 21(2), 183-202. https://doi.org/10.12989/was.2015.21.2.183.
  21. Shi, L., Yang, G. and Yao, S. (2018), "Large eddy simulation of flow past a square cylinder with rounded leading corners: A comparison of 2D and 3D approaches", J. Mech. Sci. Technol., 32, 2671-2680. http://dx.doi.org/10.1007/s12206-018-0524-y.
  22. Zhang, W. and Samtaney, R. (2016), "Low-Re flow past an isolated cylinder with rounded corners", Comput. Fluids, 136. https://doi.org/10.1016/j.compfluid.2016.06.025.
  23. Miran S. and Sohn C.H. (2015), "Numerical study of the rounded corners effect on flow past a square cylinder", Int. J. Numer. Meth. Heat Fluid Flow, 25, 686-702. http://dx.doi.org/10.1108/HFF-12-2013-0339.
  24. Cao, Y. and Tamura, T. (2017), "Supercritical flows past a square cylinder with rounded corners", Phys. Fluids, 29(8), 85-110. https://doi.org/10.1063/1.4998739.
  25. Cao, Y. and Tamura, T. (2018a), "Aerodynamic characteristics of a rounded-corner square cylinder in shear flow at subcritical and supercritical Reynolds numbers", J. Fluids Struct., 82, 473-491. https://doi.org/10.1016/j.jfluidstructs.2018.07.012.
  26. Cao, Y. and Tamura, T. (2018b), "Shear effects on flows past a square cylinder with rounded corners at Re=2.2 × 104", J. Wind Eng. Ind. Aerod., 174, 119-132. https://doi.org/10.1016/j.jweia.2017.12.025.
  27. Dai, S.S., Younis, B.A. and Zhang H.Y. (2017), "Prediction of turbulent flow around a square cylinder with rounded corners", J. Offshore Mech. Arctic Eng., 139. https://doi.org/10.1115/1.4035957.
  28. Chiarini, A. and Quadrio, M. (2022), "The importance of corner sharpness in the BARC test case: A numerical study", Wind and Structures, 34(1), 43-58. https://doi.org/10.12989/was.2022.34.1.043.
  29. Park, D. and Yang, K. (2016), "Flow instabilities in the wake of a rounded square cylinder", J. Fluid Mech., 793, 915-932. https://doi.org/10.1017/jfm.2016.156.
  30. Ono, Y. and Tamura, T. (2008), LES of Flow Around a Circular Cylinder in the Critical Reynolds Number Region.
  31. Rodriguez, I, Lehmkuhl, O., Chiva, J., Borrell, R. and Oliva, A. (2015), "On the flow past a circular cylinder from critical to super-critical Reynolds numbers: Wake topology and vortex shedding", Int. J. Heat Fluid Flow, 55, 91-103. https://doi.org/10.1016/j.ijheatfluidflow.2015.05.009.
  32. Yeon, S.M., Yang, J. and Stern, F. (2016), "Large-eddy simulation of the flow past a circular cylinder at sub- to super-critical Reynolds numbers", Appl. Ocean Res., 59, 663-675. https://doi.org/10.1016/j.apor.2015.11.013.
  33. Chen, J. (2018), Effect of Aspect Ratio on the Flow Structures Behind a Square Cylinder, University of Winsdor, Winsdor. https://scholar.uwindsor.ca/etd/7507.
  34. Spalart, P. and Rumsey, C. (2007), "Effective inflow conditions for turbulence models in aerodynamic calculations", Aiaa J., 45, 2544-2553. https://doi.org/10.2514/1.29373.
  35. Spalart, P.R., Deck, S., Shur, M.L., Squires, K.D., Strelets, M. K.H. and Travin, A. (2006), "A new version of detached-eddy simulation, resistant to ambiguous grid densities", Theoretic. Comput. Fluid Dyn., 20, 181. https://doi.org/10.1007/s00162-006-0015-0.
  36. Choi, C.K. and Kwon, D.K. (1999), "Aerodynamic stability for square cylinder with various corner cuts", Wind Struct., 2(3), 173-187. http://dx.doi.org/10.12989/was.1999.2.3.173.
  37. Menter, F.R. and Kuntz, M. (2004), "Adaptation of eddy-viscosity turbulence models to unsteady separated flow behind vehicles", Aerod. Heavy Vehicles: Trucks, Buses, and Trains, 339-352. https://doi.org/10.1007/978-3-540-44419-0_30.
  38. Menter, F.R. (2004), "Two-equation eddy-viscosity turbulence models for engineering applications", AIAA J., 32(8), 1598-1605. https://doi.org/10.2514/3.12149.
  39. Shur, M.L., Spalart, P.R., Strelets, M.Kh. and Travin, A. (2008), "A hybrid RANS-LES approach with delayed-DES and wallmodelled LES capabilities", Int. J. Heat and Fluid Flow, 29, 1638-1649. https://doi.org/10.1016/j.ijheatfluidflow.2008.07.001.
  40. Sohankar, A. (2006), "Flow over a bluff body from moderate to high Reynolds numbers using large eddy simulation", Comput. Fluids, 35, 1154-1168. https://doi.org/10.1016/j.compfluid.2005.05.007.
  41. Taylor, G.I. (1938), "The spectrum of turbulence", Proceedings of the Royal Society of London. Series A - Mathematical and Physical Sciences, 164(919), 476-490. https://doi.org/10.1098/rspa.1938.0032.
  42. Hayase, T., Humphrey, J.A.C. and Greif, R. (2008), "A consistently formulated QUICK scheme for fast and stable convergence using finite-volume iterative calculation procedures", J. Comput. Phys., 98, 108-118. https://doi.org/10.1016/0021-9991(92)90177-Z.
  43. Schewe, G. (1983), "On the force fluctuations acting on a circular cylinder in crossflow from subcritical up to transcritical Reynolds numbers", J. Fluid Mech., 133, 265-285. https://doi.org/10.1017/S0022112083001913.
  44. Choi, C.K. and Kwon, D.K. (2003), "Effects of corner cuts and angles of attack on the Strouhal number of rectangular cylinders", Wind Struct., 6(2), 127-140. http://dx.doi.org/10.12989/was.2003.6.2.127.
  45. Nishimura, H. and Taniike, Y. (2000), "Fluctuating pressures on a two-dimensional square prism", J. Struct. Construct. Eng. Transact. AIJ, 65, 37-43. http://dx.doi.org/10.3130/aijs.65.37_3.
  46. Lander, D.C., Letchford, C.W., Amitay, M. and Kopp, G.A. (2016), "Influence of the bluff body shear layers on the wake of a square prism in a turbulent flow", Phys. Rev. Fluids, 4(1), 044406. https://doi.org/10.1103/PhysRevFluids.1.044406.
  47. Maryami, R., Showkat Ali, S., Azarpeyvand, M., Dehghan, A.A. and Afshari, A. (2019), "Turbulent flow interaction with a circular cylinder", 25th AIAA/CEAS Aeroacoustics Conference. https://doi.org/10.1063/1.5119967.
  48. Li, C., Chen, Z., Tse, K.T., Weerasuriya, A., Zhang, X., Fu, Y. and Lin, X (2022), "The linear-time-invariance notion of the koopman analysis-part 1: The architecture, practical rendering on the prism wake, and fluid-structure association", https://doi.org/10.48550/arXiv.2112.02985.
  49. Bearman, P. and Obasaju, E. (1982), "An experimental study of pressure fluctuations on fixed and oscillating square-section cylinders", J. Fluid Mech., 119, 297-321. https://doi.org/10.1017/S0022112082001360.
  50. Bai, H. and Alam, M.M. (2018), "Dependence of square cylinder wake on Reynolds number", Phys. Fluids, 30, 015102. https://doi.org/10.1063/1.4996945.
  51. McLean, I. and Gartshore, I. (1992), "Spanwise correlations of pressure on a rigid square section cylinder", J. Wind Eng. Ind. Aerod., 41(1-3), 797-808. https://doi.org/10.1016/0167-6105(92)90498-Y.
  52. Gurugubelli, P.S. and Jaiman, R.K. (2019), "Large amplitude flapping of an inverted elastic foil in uniform flow with spanwise periodicity", J. Fluids Struct., 90, 139-163. https://doi.org/10.1016/j.jfluidstructs.2019.05.009.
  53. Saathoff, P. and Melbourne, W.H. (1999), "Effects of freestream turbulence on streamwise pressure measured on a squaresection cylinder", J. Wind Eng. Ind. Aerod., 79(1-2), 61-78. https://doi.org/10.1016/S0167-6105(98)00112-3.