In some speed ranges, vortices are shed from the rear of bluff cylinders placed across a flow. The vortices alternately leave the top and bottom of the cylinder, as shown, causing an alternating force normal to the freestream velocity. The vortex shedding frequency, \(f\), is thought to depend on \(rho\), \(d\), \(V\), and \(\mu\). Use dimensional analysis to develop a functional relationship for \(f\). Vortex shedding occurs in standard air on two cylinders with a diameter ratio of 2. Determine the velocity ratio for dynamic similarity, and the ratio of vortex shedding frequencies.

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J J J dk P7.55 Vortices