Computational study of unsteady viscous flow around a transversely and longitudinally oscillating circular cylinder in a uniform flow at high reynolls numbers |
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| Authors: | P. M. Rao K. Kuvahara K. Tsuboi |
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| Affiliation: | (1) Research Center of Computational Mechanics, Inc, 13-6, Nishigotanda, Shinagawa-Ku, Tokyo, Japan;(2) The Tructute of Spaceand Astronautical Science, 229 Sagamihara-Shi, Kanagawa, Japan;(3) Institute of Computational Fluid Dynamics, 1-22-3 Haramachi, Meguro-Ku, Tokyo, Japan |
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| Abstract: | A finite difference simulation method for the time dependent viscous incompressible flow around a transversely and longitudinally oscillating circular cylinder at Reynolds numbers of Re=4×103 and 4×104 is presented. The Navier-Stokes equations in finite difference form are solved on a moving grid system, based on a time dependent coordinate transformation. Solution of the vortex street development behind the cylinder is obtained when the cylinder remains stationary and also when it is oscillating. Time eholution of the flow configuration is studied by means of stream lines, pressure contours and vorticity contours. The computer results predict the lock-in phenomenon which occurs when the oscillation frequency is close to the vortex shedding frequency in the transverse mode or around double the vortex shedding frequency in the longitudinal mode. The time dependent lift and drag coefficients are obtained by the integration of the pressure and shear forces around the body. The drag, lift and the displacement relations are also discussed. |
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