Part $2$: Basic Computational Skills Component

Problem $19.$ A K$$rm$$n vortex shedding was seen in the wake of geometries especially high Reynolds numbers, as shown in the figure. It was observed that the frequency of the oscillation can be characterized with Strouhal number, St$.$ Generate a dimensionless relationship for K$$rm$$n vortex shedding frequency $f_k$ as a function of free$-$stream speed $V,$ fluid density $,$ fluid viscosity $,$ and cylinder diameter $D.$

$($a$)St=f(Re)$

$($b$)St=f(Re,Fr)$

$($c$)St=f(Re,Ma)$

$($d$)St=f(Re,Ma,Fr)$

$($e$)$ None of these.