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Volume 15,     Number 3,     Fall 2007

 

NUMERICAL SIMULATIONS OF FLOW
PAST AN OBLIQUELY OSCILLATING
ELLIPTIC CYLINDER
S. J. D. D'ALESSIO AND SERPIL KOCABIYIK

Abstract. The present work deals with the numerical investigation of the unsteady flow created by oblique translational oscillations of an inclined elliptic cylinder placed in a steady uniform flow of a viscous incompressible fluid. The motion is assumed to start impulsively from rest at t = 0. The flow is two-dimensional and the harmonic oscillations act in a direction 45° to the uniform oncoming flow. The unsteady Navier- Stokes equations, expressed in terms of stream function and vorticity, are solved using an implicit spectral finite-difference procedure. Examined in this study is the wake evolution for inclinations η = 0, π/4 and times 0 < t ≤ 12 for a Reynolds number of 103 and a fixed minor-major axis ratio of 0.5. The effect of the oblique translational oscillations of the cylinder on the hydrodynamic forces has been determined and contrasted with the corresponding transverse and inline oscillation cases.

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© 2007, Canadian Applied Mathematics Quarterly (CAMQ)