M. Schumm et al., SELF-EXCITED OSCILLATIONS IN THE WAKE OF 2-DIMENSIONAL BLUFF-BODIES AND THEIR CONTROL, Journal of Fluid Mechanics, 271, 1994, pp. 17-53
The onset of Karman-vortex shedding is studied experimentally in the w
ake of different two-dimensional bluff bodies, namely an oblong cylind
er, circular cylinders and plates of rectangular cross-section. Differ
ent control measures, such as wake heating, transverse body oscillatio
ns and base bleed are investigated. As the steady-periodic Karman shed
ding has previously been identified as a limit-cycle, i.e. as self-exc
ited oscillations. the experiments are interpreted in the framework of
the Stuart-Landau model. The coefficients of the Stuart-Landau equati
on for the characteristic vortex shedding amplitude, i.e. the linear t
emporal growth rate, linear frequency and the Landau constant, are ful
ly determined for the two cylinders and in part for the plate. For thi
s purpose transients are generated by suddenly switching transverse bo
dy oscillations or base bleed on or off. The analysis of these transie
nts by a refined method based on complex demodulation provides reliabl
e estimates of the model coefficients and yields an experimental valid
ation of the concept that a global instability mode grows or decays as
a whole. Also, it is demonstrated that the coefficients of the Stuart
Landau equation are independent of the experimental technique used to
produce the transients.