A new Strouhal–Reynolds-number relationship for the circular cylinder in the range 47<Re<2×105

Based on experiments a new law is proposed for the vortex shedding from a circular cylinder which describes in a consistent way the Strouhal–Reynolds-number dependency as ${\mathrm{Sr=Sr}}^{*}\mathrm{+m/}\sqrt{\mathrm{Re}}$ from the beginning of the vortex shedding at $\text{Re=47}$ up to the laminar–turbulent transition of the cylinder boundary layer at ${\text{Re>2×10}}^5.$ The various vortex shedding processes, occurring with increasing Reynolds number, are described by different coefficients ${\mathrm{Sr}}^{*}$ and $\mathrm{m.}$