Abstract
A numerical study for flow past a square cylinder in a two-dimensional channel with a detached flat plate is investigated in this paper. A flat plate is detached downstream in order to control the flow around and behind the square cylinder. Fluid forces acting on the square cylinder, wake structure mechanism and vortex shedding frequency are presented systematically for different Reynolds numbers and spacing ratios. Effects of Reynolds numbers upon physical parameters are also studied. Variation of Reynolds number is from 75 to 200, based on the incoming flow velocity and width of cylinder. The lattice Boltzmann method is used for this numerical investigation. In this study, we choose three different spacing ratios namely closely, moderately and widely. Numerical studies show that some physical parameters significantly reduced by the detached flat plate for closely spacing ratio. The results which we obtained in this investigation are authentic in the sense that some other experimental observations by different authors can be deduced from our results.
References
Roshko, On the drag and shedding frequency of two-dimensional bluff bodies, National advisory committee for aeronautics, Technical note, 316 (1954) 1–29.
J. Apelt, G. S. West and A. Szewezyk, The effects of wake splitter plates on the flow past a circular cylinder in the range 104 ≤ Re ≤ 5×104: Part 2, Journal of Fluid Mechanics, 61 (1973) 187–198.
J. Apelt and G. S. West, The effects of wake splitter plates on bluff body flow in the range 104 ≤ Re ≤ 5 ×104: Part 2, Journal of Fluid Mechanics, 71 (1975) 145–160.
T. Igarashi and T. Tsutsui, Flow control around a circular cylinder by a new method, Ist Report, Forced reattachment of the separated shear layer, Transaction of JSME., 55 (511) (1989) 701–706.
K. Kwon and H. Choi, Control of laminar vortex shedding behind a circular cylinder using splitter plates, Physics of Fluids, 8 (2) (1995) 479–486.
J. Hwang, K. Yang and S. Sun, Reduction of flow-induced forces on a circular cylinder using a detached splitter plate, Physics of Fluids, 15 (8) (2003) 2433–2436.
S. Turki, Numerical simulation of passive control on vortex shedding behind square cylinder using splitter plate, Engineering Applications and Computational Fluid Mechanis, 2 (4) (2008) 514–524.
M. S. M. Ali, C. J. Doolan and V. Wheatley, Low Reynolds number flow over a square cylinder with a detached flat plate, International Journal of Heat and Fluid Flow, 36 (2012) 133–141.
M. S. M Ali, C. J. Doolan and V. Wheatley, The sound generated by a square cylinder with a splitter plate at low Rey-nolds number, Journal of Sound and Vibration, 330 (2011) 3620–3635.
Wolf-Gladrow, Lattice-gas cellular automata and Lattice Boltzmann models, Lecture notes in Mathematics, Springer, Berlin (2000).
S. Y. Chen and G. D. Doolen, Lattice Boltzmann method for fluid flows, Annual review of Fluid Mechanics, 30 (1998) 329–364.
A. A. Mohammad, Lattice Boltzmann method, Fundamentals and Engineering applications with computer codes, Springer (2011).
M. Breuer, J. Bernsdorf, T. Zieser and F. Durst, Accurate computations of the laminar flow past a square cylinder based on two different methods: lattice Boltzmann and finite-volume, Journal of Heat and Fluid Flow, 21 (2000) 186–196.
L. Zhou, M. Cheng and K. C. Hung, Suppression of fluid force on a square cylinder by flow control, Journal of Fluids and Structures, 21 (2005) 151–167.
Okajima, Strouhal numbers of rectangular cylinders, Journal of Fluid Mechanics, 123 (1982) 379–398.
S. Dutta, P. K. Oanigrahi and K. Muralidhar, Effect of orientation on the wake of a square cylinder at low Reynolds numbers, Journal of Enginnering Mechanics, 134 (9) (2008) 447–459.
B. Gera, P. K. Sharma and R. K. Singh, CFD analysis of 2D unsteady flow around a square cylinder, International Journal of Applied Engineering Research, Dindigul, 1 (3) (2010) 602–610.
S. Malekzadeh and A. Sohankar, Reduction of fluid forces and heat transfer on a square cylinder in a laminar flow regime using a control plate, International Journal of Heat and Fluid Flow, 31 (2012) 15–27.
M. Cheng, D. S. Whyte and J. Lou, Numerical simulation of flow around a square cylinder in uniform-shear flow, Journal of Fluids and Structures, 23 (2007) 207–226.
Author information
Authors and Affiliations
Corresponding author
Additional information
Recommended by Associate Editor Donghyun You
Hamid Rahman works as Ph.D. scholar in COMSATS Institute of Information Technology, Islamabad, Pakistan. He is Master in mathematics and interested in fluid-structure interaction problems.
Rights and permissions
About this article
Cite this article
Islam, S.U., Rahman, H., Abbasi, W.S. et al. Suppression of fluid force on flow past a square cylinder with a detached flat plate at low Reynolds number for various spacing ratios. J Mech Sci Technol 28, 4969–4978 (2014). https://doi.org/10.1007/s12206-014-1118-y
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12206-014-1118-y