Abstract
The case of two symmetrical flat plates fixed in front of a square prism for passive control of a near-body flow pattern is numerically investigated at moderate Reynolds numbers. The plates are used for generation of a pair of the frontal stable vortices which would be able suppress flow separation in the neighbor body edges. The improvement of body loads in this case is achieved by wake constriction and reducing the difference between bottom and frontal pressure. The control scheme presented was found to be sensitive to its geometrical parameters. The dynamic system analysis is attracted for studying the flow topology in the area and deriving optimum parameters of the control device. It was found that the plate length \(l\approx 0.2d\) and \(r\approx 0.16d\), where d is the prism side and r is the distance between the plate base and the prism edge, is the appropriate choice which permits reduce the prism drag approximately per 20 %. An influence of the Reynolds number on the effectiveness of the control scheme is also investigated.
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References
Zdravkovich, M.M.: Review and classification of various aerodynamic and hydrodynamic means for suppressing vortex shedding. J. Wind Eng. Ind. Aerodyn. 7, 145–189 (1981)
Choi, H., Jeon, W.P., Kim, J.: Control of flow over a bluff body. Ann. Rev. Fluid Mech. 40, 113–139 (2008)
Turki, S.: Numerical simulation of passive control of vortex shedding behind square cylinder using splitter plate. J. Eng. Appl. of Comp. Fl. Mech. 2(4), 514–524 (2008)
Ali, M., Doolan, C., Wheatley, V.: Aeolian tones generated by a square cylinder with a detached flat plate. AIAA J. 51(2), 291–301 (2013)
Zhou, C.Y., Wang, C., Islam, S.U., Xiao, Y.Q.: Numerical study of fluid force reduction on a square cylinder using a control plate. In: Proceedings of the Nineteenth International Offshore and Polar Engineering Conference. Osaka, Japan, June 21–26. pp. 1351–1356 (2009)
Igarashi, T.: Drag reduction of a square prism by flow control using a small rod. J. Wind Eng. Ind. Aerodyn. 69–71, 141–153 (2013)
Bearman, P.W.: The effect of base bleed on the flow behind a two-dimensional model with a blunt trailing edge. J. Aeronaut. Q. 18, 207–224 (1967)
Akansu, Y.E., Firhat, E.: Control of flow around a square prism by slot injection from the rear surface. J. Exp Ther. Fl. Sci. 34(7), 906–914 (2010)
Firati, E., Akansu Y.E., Hacıaliogullar M.: Active control of flow around a square prism by slot injection. EPJ Web of Conference. 45 (2013)
Protas, B., Styszek, A.: Optimal rotary control of the cylinder wake in the laminar regime. J. Phys. Fl. 14(7), 2073–2087 (2002)
Protas, B.: Vortex dynamics models in flow control problems. Nonlinearity 21(9), 1–54 (2008)
Cortelezzi, L.: Nonlinear feedback control of the wake past a plate with a suction point on the downstream wall. J. Fluid Mech. 327, 303–324 (1996)
Wu, J.Z., Vakili, A.D., Wu, J.M.: Review of the physics of enhancing vortex lift by unsteady excitation. Prog. Aerosp. Sci. 28(2), 73–131 (1991)
Mhitaryan, A.M., Lukashchuk, C.A., Trubenok, B.D., Friland B.Ya.: Influence of eddy generators on aerodynamic characteristics of wing and body of rotation. Hydrodynamics of planes [in Russian]. Kiev: Naukova Dumka, pp. 254–263 (1966)
Perry, A.E., Chong, M.S.: A description of eddying motions and flow patterns using critical-point concepts. Ann. Rev. Fl. Mech. 19, 125–155 (1978)
Chernyshenko, S.I.: Stabilization of trapped vortices by alternating blowing suction. Phys. Fluids 7(4), 802–807 (1995)
Gorban, O.V., Gorban, I.M.: Dynamics of vortices in near-wall flows: eigenfrequencies, resonant properties, algorithms of control. AGARD Report 827, 15-11 (1998)
Gorban, I.M., Khomenko, O.V.: Dynamics of vortices in near-wall flows with irregular boundaries. In: Zgurovsky, M.Z., Sadovnichiy, V.A. (eds.) Continuous and Distributed Systems: Theory and Applications. Solid Mechanics and Its Applications, vol. 211, pp. 115–128 (2014)
Gorban, O.V., Gorban, I.M.: Vortical flow structure near a square prism: numerical model and algorithms of control [in Ukrainian]. J Appl. Hydromech. 7, 8–26 (2005)
Zgurovsky, M.Z, Melnik, V.S., Kasyanov, P.O.: Evolution inclusions and variation inequalities for Earth data processing. Adv. Mech. Math. 25 (2011)
Cottet, G.-H., Koumoutsakos, P.: Vortex Methods: Theory and Practice. Cambridge University Press, London (2000)
Liu, Z., Kopp, G.A.: High-resolution vortex particle simulations of flows around rectangular cylinders. J. Comp Fluids 40, 2–21 (2011)
Sohankar, A., Norberg, C., Davidson, L.: Simulation of three-dimensional flow around a square cylinder at moderate Reynolds numbers. J. Phys. Fluids 11(2), 288–306 (1999)
Ringleb, F.O.: Two-dimensional flow with standing vortex in ducts and diffusers. J. Fluids Eng. 82(4), 921–927 (2011)
Roshko, A.: On the drag and shedding frequency of two-dimensional bluff bodies. NASA Technical Note 3169 (1954)
Lifanov, I.K.: Method of Singular Integral Equations and Numerical Experiment [in Russian]. TOO Janus, Moscow (1995)
Danilin, A.V., Goloviznin, V.M.: Scheme KABARE in variables vorticity-velocity for numerical simulation of ideal fluid motions in two-dimensional domains [in Russian]. J. Math. Model. 24(5), 45–60 (2012)
Wu, J.C.: Numerical boundary conditions for viscous flow problems. AIAA J. 24(5), 1042–1049 (1976)
Nowakowski, A., Rocicki, J., Styczek, A.: The pressure problem in the stochastic vortex blob method. ESAIM Proceed. 1, 125–134 (1996)
Uhlman, J.S.: An integral equation formulation of the equations of motion of an incompressible fluid. NUWC-NPT Technical Report. 10086 (1992)
Dynnikova, G.Ya.: The integral formula for pressure field in the nonstationary barotropic flows of viscous fluid. J. Math. Fluid Mech. 16, 145–162 (2014)
Lamb, G.: Hydromechanics. Cambridge University Press, London (1916)
Okajima, A.: Strouhal number of rectangular cylinders. J. Fluid Mech. 123, 379–398 (1982)
Okajima, A., Sugitani, K.: Strouhal number and base pressure coefficient of a rectangular cylinder. J. Trans. ASME 50, 2004–2010 (1984)
Doolan, C.J.: Flat-plate interaction with the near-wake of a square cylinder. AIAA J. 47(2), 475–478 (2009)
Shimizu, M., Tanida, Y.: On the fluid forces acting on rectangular sectional cylinders. Trans. JSME 44, 2699–2706 (1978)
Hwang, R.R., Sue, J.C.: Numerical simulation of shear effect on vortex shedding behind a square cylinder. Int. J. Numer. Meth. Fl. 25, 1409–1420 (1977)
Inoue, O., Mori, M., Hatakeyama, N.: Aeolian tones radiated from flow past two square cylinders in a side-by-side arrangement. J. Phys. Fluids. 18 (2006)
Norberg, C.: Flow around rectangular cylinders: pressure forces and wake frequencies. J. Wind Eng. Ind. Aero. 49, 187–195 (1993)
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Gorban, I.M., Khomenko, O.V. (2016). Flow Control Near a Square Prism with the Help of Frontal Flat Plates. In: Sadovnichiy, V., Zgurovsky, M. (eds) Advances in Dynamical Systems and Control. Studies in Systems, Decision and Control, vol 69. Springer, Cham. https://doi.org/10.1007/978-3-319-40673-2_17
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