Abstract
The numerical simulation of the laminar viscous flow past a cylinder performing rotary oscillations around its axis is carried out. The Navier–Stokes equations are solved by finite volume method using the program package OpenFOAM. The values of the amplitude and frequency of forced oscillations are found, at which the maximum reduction of the drag coefficient of the cylinder is achieved.
Similar content being viewed by others
References
S.A. Isaev, P.A. Baranov, A.G. Sudakov, and V.B. Kharchenko, Numerical analysis of the influence of angle of attack on turbulent flow around a thick Goettingen airfoil with vortex cells, Thermophysics and Aeromechanics, 2007, Vol. 14, No. 2, P. 169–186.
V.I. Kornilov, A.V. Boiko, and I.N. Kavun, Control of turbulent boundary layer through air blowing due to external- flow resources, Thermophysics and Aeromechanics, 2015, Vol. 22, No. 4, P. 413–426.
T.V. Malakhova, Heat transfer of an oscillating cylinder in a viscous incompressible fluid flow, Thermophysics and Aeromechanics, 2012, Vol. 19, No. 1, P. 69–76.
M.R.H. Nobari and H. Naderan, A numerical study of flow past a cylinder with cross flow and inline oscillation, Comp. Fluids, 2006, Vol. 35, P. 393–415.
C.H.K. Williamson, Vortex dynamics in the cylinder wake, Annu. Rev. Fluid Mech., 1996, Vol. 28, P. 477–539.
S. Taneda, Visual observations of the flow past a circular cylinder performing a rotary oscillation, J. Phys. Soc. Japan, 1978, Vol. 45, P. 1038–1043.
J. D’Adamo, R. Godoy-Diana, and J.E. Wesfreid, Spatio-temporal spectral analysis of a forced cylinder wake, Phys. Review E, 2011, Vol. 84: 056308.
B. Thiria, S. Goujon-Durand, and J.E. Wesfreid, The wake of a cylinder performing rotary oscillations, J. Fluid Mech., 2006, Vol. 560, P. 123–147.
S.J. Baek and H.J. Sung, Numerical simulation of the flow behind a rotary oscillating circular cylinder, Phys. Fluids, 1998, Vol. 10, No. 4, P. 869–876.
M. Bergmann and L. Cordier, Optimal control of the cylinder wake in the laminar regime by trust-region methods and POD reduced-order models, J. Comput. Phys., 2008, Vol. 227, P. 7813–7840.
P.T. Tokumaru and P.E. Dimotakis, Rotary oscillation control of a cylinder wake, J. Fluid Mech., 1991, Vol. 224, P. 77–90.
S.V. Guvernyuk, G.Ya. Dynnikova, Ya.A. Dynnikov, and T.V. Malakhova, Stabilization of the wake behind a circular cylinder that performs high-frequency angular oscillations, Doklady Phys., 2010, Vol. 55, No. 5, P. 228–232.
R.I. Issa, Solution of implicitly discretized fluid flow equations by operator splitting, J. Comput. Phys., 1986, Vol. 62, P. 40–65.
R.D. Henderson, Nonlinear dynamics and pattern formation in turbulent wake transition, J. Fluid Mech., 1997, Vol. 352, P. 65–112.
J.W. He, R. Glowinski, R. Metcalfe, A. Nordlander, and J. Periaux, Active control and drag optimization for flow past a circular cylinder I: Oscillatory cylinder, J. Comput. Phys., 2000, Vol. 163, Nо. 1, P. 83–117.
C. Homescu, I.M. Navon, and Z. Li, Suppression of vortex shedding for flow around a circular cylinder using optimal control, Int. J. Numer. Meth. Fluids, 2002, Vol. 38, P. 43–69.
M. Bergmann, L. Cordier, and J.-P. Brancher, Optimal rotary control of the cylinder wake using proper orthogonal decomposition reduced-order model, Phys. Fluids, 2005, Vol. 17, P. 097101-1−097101-21.
E.R.C. Góis and L.F. Souza, An eulerian immersed boundary method for flow simulations over stationary and moving rigid bodies, J. Braz. Soc. Mech. Sci. & Eng. Special Issue, 2010, Vol. 32, No. 5, P. 477–484.
S. Mittal and B. Kumar, Flow past a rotating cylinder, J. Fluid Mech., 2003, Vol. 476, P. 303–334.
A.B. Mazo and I.V. Morenko, Numerical simulation of a viscous separation flow around a rotating circular cylinder, J. Engng Phys. Thermophys., 2006, Vol. 79, No. 3, P. 496–502.
I.V. Morenko and V.L. Fedyaev, Laminar nonisothermal flow of a viscous fluid with solid particles past a rotating circular cylinder, J. Engng Phys. Thermophys., 2014, Vol. 87, No. 3, P. 566–572.
E.I. Kalinin and A.B. Mazo, Steady and periodic regimes of laminar flow around the rotating cylinder, TsAGI Sci. J., 2011, Vol. 42, No. 5, P. 637–653.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Morenko, I.V. Laminar incompressible viscous flow past a cylinder performing rotary oscillations. Thermophys. Aeromech. 24, 355–360 (2017). https://doi.org/10.1134/S0869864317030040
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0869864317030040