Suppression of vortex shedding around a square cylinder using blowing.

*(English)*Zbl 1322.76035Summary: Direct numerical simulation (DNS) of flow past a square cylinder at a Reynolds number of 100 has been carried out to explore the effect of blowing in the form of jet(s) on vortex shedding. Higher order spatial as well as temporal discretization has been employed for the discretization of governing equations. The varying number of jets, jet velocity profiles and different blowing velocities are studied to investigate the characteristics of vortex shedding. The parabolic velocity profile has been found to be more effective in suppressing the vortex shedding as compared to the uniform velocity. Complete suppression of vortex shedding along with remarkable reduction in drag coefficient has been achieved for both jet velocity profiles but at different velocities. The corresponding values for uniform and parabolic jet profiles are 0.87 and 0.6, respectively at a mass flux of 0.120. The study also reveals that there is considerable effect of the number of jets on the vortex shedding phenomena.

##### MSC:

76F65 | Direct numerical and large eddy simulation of turbulence |

76M20 | Finite difference methods applied to problems in fluid mechanics |

76D17 | Viscous vortex flows |

65M06 | Finite difference methods for initial value and initial-boundary value problems involving PDEs |

76D05 | Navier-Stokes equations for incompressible viscous fluids |

76D25 | Wakes and jets |

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\textit{A. K. Saha} and \textit{A. Shrivastava}, Sādhanā 40, No. 3, 769--785 (2015; Zbl 1322.76035)

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##### References:

[1] | Akansu Y E and Firhat E 2010 Control of flow around a square prism by slot injection from the rear surface. Experimental Thermal and Fluid Sci. 34: 906-914 |

[2] | Arcas D R and Redekopp L G 2004 Aspects of wake vortex control through base blowing/suction. Phys. Fluids 16: 452-456 · Zbl 1186.76032 |

[3] | Biringen S 1984 Active Control of transition by periodic blowing and suction. Phys. Fluids 27: 1345-1347 |

[4] | Blackburn H and Henderson R 1999 A study of two-dimensional flow past an oscillating cylinder. J. Fluid Mech. 385: 255-286 · Zbl 0938.76022 |

[5] | Cetiner O and Rockwell D 2003 Controlled Oscillation of a cylinder: A new wake state. J. Fluids Struct. 17: 337-343 |

[6] | Choi J 2006 Mechanism of drag reduction by surface modification on sphere: Dimples, roughness and trip wire: PhD. Thesis, Seoul national University, Korea |

[7] | Choi H, Jeon W P and Kim J 2008 Control of flow over a bluff body. Ann. Rev. Fluid Mech. 40: 113-139 · Zbl 1136.76022 |

[8] | Cohen R D 1991 Predicting the effects of surface suction and blowing on the strouhal frequencies in Vortex Shedding. JSME Int. J. Series II 34(1): 30-38 |

[9] | Cuhadaroglu B, Akansu Y E and Turhal A O 2007 An experimental study on the effects of uniform injection through one perforated surface of a square cylinder on some aerodynamic parameters. Experimental Thermal and Fluid Sci. 31: 909-915 |

[10] | Dong S, Triantafyllou G S and Karniadakis G E 2008 Elimination of vortex street in bluff flows. Physical Review Lett. Article No.204501 |

[11] | Fransson J H M, Konieczny P and Alfredson P H 2004 Flow around a porous cylinder subject to continuous suction or blowing. J. Fluids Struct. 19: 1031-1048 |

[12] | Gad-el-Haq M 2000 Flow control, passive, active and reactive flows, First ed.,. London: Cambridge University Press |

[13] | Gerrard J H 1966 The mechanics of formation region of vortices behind bluff bodies. J. Fluid Mech. 25: 401-413 |

[14] | Harlow F H and Welch J E 1965 Numerical calculation of time-dependent viscous incompressible flow fluid with free surfaces. Phys. Fluids 8: 2182-2188 · Zbl 1180.76043 |

[15] | Kim S and Lee C 2000 Investigation of flow around circular cylinder under the influence of electromagnetic force. Exp. Fluids 28: 252-260 |

[16] | Kim D H, Yang K S and Eom J S 2003 Confined vortex shedding past a square cylinder with planar jet. JSME Int. J. Series B 46(2): 316-325 |

[17] | Kumar A Raghavan, Sohn Chan-Hyun and Gowda H L 2008 Passive control of vortex induced vibrations: An overview. Recent Patents on Mechanical Eng. 1: 1-11 |

[18] | Kwon K and Choi H 1996 Control of laminar vortex shedding behind circular cylinder using splitter plates. Phys. Fluids 8: 479-486 · Zbl 1023.76528 |

[19] | Lankadasu A and Vengadesan S 2008 Onset of Vortex shedding in planar shear flow past a square cylinder. Int. J. Heat and Fluid Flow 29: 1054-1059 · Zbl 1338.76023 |

[20] | Lee S and Kim H 1997 The effect of surface protrusions on the near wake of a circular cylinder. J. Wind Eng. Ind. Aerodyn. 69-71: 351-361 |

[21] | Ling Lisa Mei 1992 Numerical analysis on strouhal frequencies in vortex shedding over square cylinders with surface suction and blowing. PhD Thesis, Rice University, U.S |

[22] | Mathelin L, Bataille F and Lallemand A 2002 The effect of Uniform Blowing on the flow past a circular cylinder. J. Fluids Eng. 124(2): 452-464 |

[23] | Orlanski I 1976 A simple Boundary condition for unbounded flows. J. Comput. Phys. 21: 251-269 |

[24] | Saha A K 2013 Unsteady flow past a finite square cylinder mounted on a wall at low Reynolds number. Comp. Fluids 88(15): 599-615 · Zbl 1391.76491 |

[25] | Saha A K and Jaiswal R 2011 Control of vortex shedding past a square cylinder using splitter plate at low Reynolds number, Proceeding of the 38th National on Fluid Mechanics and Fluid Power, December 15-17, 2011, Maulana Azad National Institute of Technology, Bhopal, India |

[26] | Saha A K, Muralidhar K and Biswas G 2000 Transition and chaos in two-dimensional flow past a square cylinder. J. Eng. Mech. 126: 523-532 |

[27] | Sen S, Mittal S and Biswas G 2011 Flow past a square cylinder at low Reynolds numbers. Int. J. Numer. Meth. Fluids 67: 1160-1174 |

[28] | Strykowski P J and Sreenivansan K R 1990 On the formation and suppression of vortex shedding at low Reynolds number. J. Fluid Mech. 218: 71-107 |

[29] | Wood C J 1967 Visualization of an incompressible wake with base bleed. J. Fluid Mech. 29: 259-273 |

[30] | Zdravkovich M M 1981 Review and classification of various aerodynamic and hydrodynamic means for suppressing vortex shedding. J. Wind Eng. Industrial Aerodynamics 7: 145-189 |

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