Abstract
A numerical study has been carried out to elucidate the effects of rounding the sharp edges on flow-induced forces on a square cylinder immersed in a laminar cross flow. Rounding reduces both the upstream stagnation pressure and the downstream base pressure. Consequently, competition between these two pressure reductions yields the minimum drag on the cylinder when its edges are partially rounded. It was also found that the leading-edge rounding is mainly responsible for the topological change thus the drag reduction, while the trailing- edge rounding alone just enhances lift fluctuation. However, trailing-edge rounding plays a role of stabilizing the flow when all of the four edges are rounded.
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References
M. Braza, P. Chassaing and H. H. Minh, Numerical study and physical analysis of the pressure and velocity fields in the near wake of a circular cylinder, J. Fluid. Mech., 165 (1986) 79–130.
C. Norberg, An experimental investigation of the flow around a circular cylinder: Influence of aspect ratio, J. Fluid. Mech., 258 (1994) 287–316.
J. Park, K. Kwon and H. Choi, Numerical solutions of flow past a circular cylinder at Reynolds numbers up to 160, KSME Int. J., 12 (1998) 1200–1205.
A. Okajima, Strouhal numbers of rectangular cylinders, J. Fluid. Mech., 123 (1982) 379–398.
A. Sohankar, C. Norberg and L. Davidson, Low-Reynolds number flow around a square cylinder at incidence: Study of blockage, onset of vortex shedding and outlet boundary condition, Int. J. Numer. Meth. Fluids., 26 (1998) 39–56.
D. Park and K.-S. Yang, Flow instabilities in the wake of a rounded square cylinder, J. Fluid. Mech., 793 (2016) 915–932.
C. Dalton and W. Zheng, Numerical solutions of a viscous uniform approach flow past square and diamond cylinders, J. Fluids. Struct., 18 (2003) 455–465.
S. Miran and C. H. Sohn, Numerical study of the rounded corners effect on flow past a square cylinder, Int. J. Numer. Methods Heat Fluid Flow, 25 (2015) 686–702.
J. Yang and E. Balaras, An embedded-boundary formulation for large-eddy simulation of turbulent flows interacting with moving boundaries, J. Comput. Phys., 215 (2006) 12–40.
K.-S. Yang, Numerical investigation of instability and transition in an obstructed channel flow, AIAA J., 38 (2000) 1173–1178.
J. Kim and P. Moin, Application of a fractional step method to incompressible Navier-Stokes equations, J. Comput. Phys., 59 (1985) 308–323.
W. L. Briggs, V. E. Henson and S. F. McCormick, A Multigrid Tutorial, 2nd Ed, SIAM, Philadelphia, PA (2000).
D.-H. Kim, K.-S. Yang and M. Senda, Large eddy simulation of turbulent flow past a square cylinder confined in a channel, Comput. Fluids., 33 (2004) 81–96.
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Recommended by Associate Editor Jungil Lee
Doohyun Park received his B.S.(2014) and M.S. (2017) degrees in Mechanical Engineering from Inha University.
Kyung-Soo Yang received his B.S. from Seoul National University, M.S. from The Ohio State University, and Ph.D. (1989) from Stanford University. Currently, he is a Professor of the Department of Mechanical Engineering, Inha University. His current interests include flow instability, turbulence, and DNS/LES.
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Park, D., Yang, KS. Effect of rounding on flow-induced forces on a square cylinder. J Mech Sci Technol 31, 5857–5862 (2017). https://doi.org/10.1007/s12206-017-1128-7
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DOI: https://doi.org/10.1007/s12206-017-1128-7