Abstract
The force (drag and lift) exerted on a body moving in a viscous fluid is expressed via the ‘free’ and ‘bound’ vorticity moments, and the role of vortex shedding is discussed. The formulation encompasses classical, inviscid flows, and leads to efficient computational methods. Numerical results for a few prototype flows are presented.
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References
Bassanini, P., Casciola, C., Lancia, M.R. and Piva, R., ‘A boundary integral formulation for the kinetic field in aerodynamics. I: Mathematical analysis’, Eur. J. Mech. B/Fluids 10, (1991) 605–627.
Bassanini, P., Casciola, C., Lancia, M.R. and Piva, R., ‘Edge singularities and Kutta condition in 3D aerodynamics’, Meccanica 3 (1999) 199–229.
Batchelor, G.K., An Introduction to Fluid Dynamics, Cambridge Univertsity Press, New York, 1991.
Berker, R., ‘Integration des equations du mouvement d’ un fluide visqueux incompressible’, In: Handbook der Physik Bd., VIII/2, Springer-Verlag, Berlin, 1963, pp. 1–384.
Casciola, C., Piva, R. and Bassanini, P., ‘Vorticity generation on a flat surface in 3D flows’, J. Comput. Phys. 129 (1996) 345–356.
Friedrichs, K.O., Special Topics in Fluid Dynamics, Nelson, London, 1966.
Graziani, G., Ranucci, M., Riccardi, G. and Piva, R., ‘Viscous versus inviscid interaction of a vorticity structure with a circular cylinder’, Meccanica 29 (1994) 465–478.
Graziani, G., Ranucci, M. and Piva, R., ‘From a boundary integral formulation to a vortex method for viscous flows’, Comput. Mech. 15(4) (1995) 301–314.
Lighthill, J., An Informal Introduction to Theoretical Fluid Dynamics, Oxford University Press, Oxford, 1986
Marchioro, C. and Pulvirenti, M., Mathematical Theory of Incompressible Nonviscous Fluids, SpringerVerlag, New York, 1994.
Milne-Thomson, L.M., Theoretical Hydrodynamics, MacMillan, London, 1968.
Noca, F., Shiels, D. and Jeon, D., ‘A comparison of methods for evaluating time-dependent fluid dynamic forces on bodies, using only velocity fields and their derivatives’, J. Fluids Struct. 13 (1999) 551–578.
Phillips, O.M., ‘The intensity of Aeolian tones’, J. Fluid Mech. 1 (1957) 607–624.
Saffman, P.G., Vortex Dynamics, Cambridge University Press, Cambridge, 1992.
Taylor, G.I., ‘The energy of a body moving in an infinite fluid, with an application to airships’, Proc. Roy.Soc. London A 120 (1928) 260–283.
Wu, J.C., ‘Theory for aerodynamic force and moment in viscous flows’, AIAA J. 4(19) (1981) 432–441.
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Graziani, G., Bassanini, P. Unsteady Viscous Flows about Bodies: Vorticity Release and Forces. Meccanica 37, 283–303 (2002). https://doi.org/10.1023/A:1020139607779
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DOI: https://doi.org/10.1023/A:1020139607779