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Volume 4,     Number 4,     Fall 1996

 

A FINITE DIFFERENCE CALCULATION FOR
A TRANSVERSE SUPERIMPOSED OSCILLATION
SERPIL KOCABIYIK AND PHU NGUYEN

Abstract. A spectral-finite difference method is used for analysis of unsteady, laminar flow past an impulsively started oscillating and translating circular cylinder. The flow is incompressible and two-dimensional and the cylinder oscillations are harmonic. These oscillations are only allowed when the oscillatory-to-translational velocity ratio is 0.5. The analysis is developed in terms of the scalar vorticity and stream function. The Navier-Stokes equations in a noninertial frame attached to the cylinder are solved in a rectangular grid, based on a modified polar system. The parameters involved are the velocity ratio, Reynolds number and Strouhal number. The Reynolds number ranges between 200 and 103 and Strouhal number ranges between π/4 and π/2. The effects of Reynolds number and of the Strouhal number on the laminar asymmetric wake evolution are studied. The surface pressure, drag, lift and surface vorticity are also extracted from numerical results.

 

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