3) A periodic vortex is formed when a uniform stream flows over a circular cylinder, as shown in the
figure below. Use dimensional analysis in order to generate a dimensionless expression for the
frequency of the vortex, $f_k$, as a function of free-stream velocity V, fluid density $\rho$, fluid viscosity
$\mu$, and cylinder diameter D.
V
$\rho \mu$
D
Repeat Question 3, but with an additional independent parameter included, namely the
speed of the sound, c, in the fluid. Use dimensional analysis in order to generate a
dimensionless expression for the frequency of the vortex, $f_k$, as a function of free-stream
velocity V, fluid density $\rho$, fluid viscosity $\mu$, cylinder diameter D, and speed of sound c.
