tall cylindrical chimney with a circular cross-section of diameter D and height
H is subject to steady winds. It is observed that under these conditions, vortices form and
are shed from the downwind side of the chimney at a frequency that can cause structural
resonance. The vortex shedding frequency f depends on the diameter D, height H, wind
speed V , as well as the density ρ and viscosity μ of the air. Use dimensional analysis (the
Buckingham Π method) to show that
St = φ
(
Re, H
D
)