Volume 4, Number 4, Fall 1996
STEADY, UNSTEADY AND LINEAR STABILITY
OF FLOW PAST AN ELLIPTIC CYLINDER
S.J.D. D'ALESSIO
Abstract. Discussed in thin work is the twodimensional
steady state and unsteady flow of a viscous incompressible
fluid past an inclined elliptic cylinder. Numerical solutions to
the NavierStokes equations have been obtained for moderate
Reynolds numbers, R, up to 100 and for various inclinations,
α. It is observed that for low R the limiting unsteady problem
agrees well with the steady state results while for 20 < R <
30 the unsteady flow succumbs to vortex shedding. Good
agreement in the steady state results is found with existing
results for R = 40. Also included is a linear stability analysis.
The minimum critical Reynolds number at which the flow
becomes unstable due to asymmetric disturbances has been
estimated to lie in the range 35 < R_{c} < 40 and to occur for
an inclination in the interval 40° < α_{c} < 50°. Similarly,
for the circular cylinder R_{c} was estimated to be between
100 <R_{c} < 110.
(Subscribers Only)
