Volume 4, Number 4, Fall 1996
A FINITE DIFFERENCE CALCULATION FOR
A TRANSVERSE SUPERIMPOSED OSCILLATION
SERPIL KOCABIYIK AND PHU NGUYEN
Abstract. A spectralfinite difference method is used
for analysis of unsteady, laminar flow past an impulsively
started oscillating and translating circular cylinder. The
flow is incompressible and twodimensional and the cylinder
oscillations are harmonic. These oscillations are only allowed
when the oscillatorytotranslational velocity ratio is 0.5. The
analysis is developed in terms of the scalar vorticity and
stream function. The NavierStokes 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 10^{3}
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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