Document Type : Research Paper


1 Karadeniz Technical University Department of Mechanical Engineering

2 Department of mechanical engineering, Karadeniz Technical University, Trabzon 61080, Turkey



< p>The effects of uniform injection and suction through the surfaces of a perforated square cylinder on the vortex shedding, heat transfer and some aerodynamic parameters have been investigated numerically. The finite-volume method has been used for solving the Navier-Stokes equations for incompressible, turbulent near-wake flow (Re=21400) with the k-ɛ turbulence model equations. To find the optimum conditions, the effects of injection and suction through the front surface (case Ⅰ), the rear surface (case Ⅱ), top-bottom surfaces (case Ⅲ) and all surfaces (case Ⅳ) with various injection/suction coefficient Γ are studied. The results reveal that parameters such as pressure and drag coefficients and Nusselt number are influenced drastically in some cases as well as flow field parameters. For instance, the maximum reduction of the drag coefficient occurs at case Ⅳ while the maximum increase and reduction of Nu number occur at (|Γ|)=0.025 for all cases about 46% and 32%, 61% and 63%, 92% and 60% and 180% and 115% for cases Ⅰ, Ⅱ, Ⅲ and Ⅳ respectively.

Graphical Abstract

A CFD analysis of the effects of injection and suction through a perforated square cylinder on some thermo-fluid parameters


[1] R.M. Darekar, and S.J. Sherwin, “Flow past a bluff body with a wavy stagnation face”, J. Fluids Struct., Vol. 15, No. 3-4, pp. 587-596, (2001).

[2] J.Y. Hwang, and K.S. Yang, “Drag reduction on a circular cylinder using dual detached splitter plates”, J. Wind Eng. Ind. Aerodyn., Vol. 95, No. 7, pp. 551-564, (2007).

[3] H. Hangan, and J. Kim, “Aerodynamic slot-control for 2D square prisms”, J. Wind Eng. Ind. Aerodyn., Vol. 91, No. 12-15, pp. 1847-1857, (2003).

[4] S. Shukla, R.N. Govardhan, and J.H. Arakeri, “Flow over a cylinder with a hinged-splitter plate”, J. Fluids Struct., Vol. 25, No. 4, pp. 713-720, (2009).

[5] 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”, Int. J. Heat Fluid Flow, Vol. 34, pp. 15-27, (2012).

[6] Y. Bao, and J. Tao, “The passive control of wake flow behind a circular cylinder by parallel dual plates”, J. Fluids Struct., Vol. 37, pp. 201-219, (2013).

[7] H. Zhu, and J. Yao, “Numerical evaluation of passive control of VIV by small control rods”, Appl. Ocean Res., Vol. 51, pp. 93-116, (2015).

[8] S. Malekzadeh, I. Mirzaee, N. Pourmahmoud, et al., “The passive control of three-dimensional flow over a square cylinder by a vertical plate at a moderate Reynolds number”, Fluid Dyn. Res., Vol. 49, No. 025515, (2017).

[9] Z. Chen, and N. Aubry, “Active control of cylinder wake”, Commun. Nonlinear Sci. Numer. Simul., Vol. 10, No. 2, pp. 205-216, (2005).

[10] N. Fujisawa, Y. Asano, C. Arakawa, et al., “Computational and experimental study on flow around a rotationally oscillating circular cylinder in a uniform flow”, J. Wind Eng. Ind. Aerodyn., Vol. 93, No. 2,  pp. 137-153, (2005).

[11] J.H.M. Fransson, P. Konieczny, and P.H. Alfredsson, “Flow around a porous cylinder subject to continuous suction or blowing”, J. Fluids Struct., Vol. 19, No. 8, pp. 1031-1048, (2004).

[12] A. Sevilla, and C. Martínez-Bazán, “Vortex shedding in high Reynolds number axisymmetric bluff-body wakes: Local linear instability and global bleed control”, Phys. Fluids, Vol. 16, No. 3460, (2004).

[13] Y. Bao, and J. Tao, “Active control of a cylinder wake flow by using a streamwise oscillating foil”, Phys. Fluids, Vol. 25, No. 053601, (2013).

[14] M. Bovand, S. Rashidi, M. Dehghan, et al., “Control of wake and vortex shedding behind a porous circular obstacle by exerting an external magnetic field”, J. Magn. Magn. Mater., Vol. 385, pp. 198-206, (2015).

[15] Y. Huang, B. Zhou, and Z. Tang, “Instability of cylinder wake under open-loop active control”, App. Math. and Mech., Vol. 38, pp. 439-452, (2017).

[16] R.L. Simpson, “Characteristics of turbulent boundary layers at low Reynolds numbers with and without transpiration”, J. Fluid Mech., Vol. 42, No.4, pp. 769-802, (1970).

[17] J.A. Schetz, and B. Nerney, “Turbulent boundary layer with injection and surface roughness”, AIAA J., Vol. 15, No. 9, pp. 1288-1293, (1977).

[18] J.T. Yang, B.B. Tsai, and G.L. Tsai, “Separated-reattaching flow over a backstep with uniform normal mass bleed”, J. Fluids Eng. Trans. ASME, Vol. 116, No. 1, pp. 29-35, (1994).

[19] J. Bellettre, F. Bataille, and A. Lallemand, “A new approach for the study of turbulent boundary layers with blowing”, Int. J. Heat Mass Transf., Vol. 42, No. 15, pp. 2905-2920, (1999).

[20] C.B. Hwang, and C.A. Lin, “Low-Reynolds number k-ε̃ modelling of flows with transpiration”, Int. J. Numer. Methods Fluids, Vol. 32, No. 5, pp. 495-514, (2000).

[21] J. Meinert, J. Huhn, E. Serbest, et al., “Turbulent boundary layers with foreign gas transpiration”, J. Spacecraft Rockets, Vol. 38, No. 2, pp. 191-198, (2001).

[22] V. Kudriavtsev, M.J. Braun, and R.C. Hendricks, “Virtual experiments on drag reduction, 48th Annu. Conf. of Canadian Aeronautics and Space Inst. (CASI), 8th Aerodyn. Sec. Symp., Toronto, Canada, pp. 1-6, (2001).

[23] A.V. Bazovkin, V.M. Kovenya, V.I. Kornilov, et al., “Effect of micro-blowing of a gas from the surface of a flat plate on its drag”, J. Appl. Mech. Tech. Phys, Vol. 53, pp. 490-499, (2012). 

[24] V.I. Kornilov, A.V. Boiko, and I.N. Kavun, “Turbulent boundary layer on a finely perforated surface under conditions of air injection at the expense of external flow resources”, J. Eng. Phys. Thermophys., Vol. 88, pp. 1500-1512, (2015).

[25] K. Hannemann, and H. Oertel, “Numerical simulation of the absolutely and convectively unstable wake”, J. Fluid Mech., Vol. 199, pp. 55-88, (1989).

[26] L.M. Ling, B. Ramaswamy, R.D. Cohen, et al., “Numerical analysis on strouhal frequencies in vortex shedding over square cylinders with surface suction and blowing”, Int. J. Numer. Methods Heat Fluid Flow, Vol. 3, pp. 357-375, (1993).

[27] M. Schumm, E. Berger, and P.A. Monkewitz, “Self-excited oscillations in the wake of two-dimensional bluff bodies and their control”, J. Fluid Mech. Vol. 271, pp. 17-53, (1994).

[28] L. Mathelin, F. Bataille, and A. Lallemand, “Flow around a circular cylinder with non-isothermal blowing”, Exp. Therm. Fluid Sci., Vol. 26, No. 2-4, pp. 173-179, (2002).

[29] G.P. Ling, and J.W. Fang, “Numerical study on the flow around a circular cylinder with surface suction or blowing using vorticity-velocity method”, Appl. Math. Mech., Vol. 23, pp. 1089-1096, (2002).

[30] B. Çuhadaroǧlu, Y.E. Akansu, and A.O. Turhal, “An experimental study on the effects of uniform injection through one perforated surface of a square cylinder on some aerodynamic parameters”, Exp. Therm. Fluid Sci., Vol. 31, No. 8, pp. 909-915, (2007).

[31] S. Dong, G.S. Triantafyllou, and G.E. Karniadakis, “Elimination of vortex streets in bluff-body flows”, Phys. Rev. Lett., Vol. 100, No. 204501, (2008).

[32] B. Çuhadaroǧlu, and O. Turan, “Numerical simulation of turbulent flow around a square cylinder with uniform injection or suction and heat transfer”, Numer. Heat Transf. Part A Appl., Vol. 55, No. 2, pp. 163-184, (2009).

[33] B. Çuhadaroǧlu, “A numerical study on turbulent flow around a square cylinder with uniform injection or suction”, Int. J. Numer. Methods Heat Fluid Flow, Vol. 19, pp. 708-727, (2009).

[34] A.O. Turhal, and B. Çuhadaroǧlu, “The effects of surface injection through a perforated square cylinder on some aerodynamic parameters”, Exp. Therm. Fluid Sci., Vol. 34, No. 6, pp. 725-735, (2010).

[35] B. Çuhadaroǧlu, and O. Turan, “Numerical study on heat transfer between turbulent flow and porous rectangular cylinders with uniform injection or suction”, Heat Transf. Eng., Vol. 33, No. 15,  pp. 1232-1245, (2012).

[36] A. Sohankar, M. Khodadadi, and E. Rangraz, “Control of fluid flow and heat transfer around a square cylinder by uniform suction and blowing at low Reynolds numbers”, Comput. Fluids, Vol. 109, pp. 155-167, (2015).

[37] A. Teimourian, H. Hacişevki, and A. Bahrami, “Experimental study on suppression of Vortex street behind perforated square cylinder”, J. Theor. Appl. Mech., Vol. 55, No. 4, pp. 1397-1408, (2017).

[38] M. Kato, and B.E. Launder, “The modeling of turbulent flow around stationary and vibrating square cylinders”, Proc. 9th Symp. Turbulent Shear Flows, Kyoto, Japan, No. 10.4.1-10.4.6, (1993).

[39] D.A. Lyn, S. Einav, W. Rodi, et al., “A laser-Doppler velocimetry study of ensemble-averaged characteristics of the turbulent near wake of a square cylinder”, J. Fluid Mech., Vol. 304, pp. 285-319, (1995). 

[40] D.F.G. Durão, M.V. Heitor, and J.C.F. Pereira, “Measurements of turbulent and periodic flows around a square cross-section cylinder”, Exp. Fluids, Vol. 6, pp. 298-304, (1988).

[41] G. Bosch, and W. Rodi, “Simulation of vortex shedding past a square cylinder with different turbulence models”, Int. J. Numer. Methods Fluids, Vol. 28, No. 4, pp. 601-616, (1998).

[42] B.E. Lee, “The effect of turbulence on the surface pressure field of a square prism”, J. Fluid Mech., Vol. 69, No. 2, pp. 263-282, (1975).

[43] P.W. Bearman, and E.D. Obasaju, “An experimental study of pressure fluctuations on fixed and oscillating square-section cylinders”, J. Fluid Mech., Vol. 119, pp. 297-321, (1982).