The −bold 5 divided by bold 3 5 / 3 $\boldsymbol{5/3}$ power law for energy spectra in the near and intermediate wake of a circular cylinder

We investigate the occurrence and interpretation of an approximate negative 5 divided by 3 − 5 / 3 $-5/3$ power law in one-dimensional velocity spectra in the wake of a circular cylinder using three-component hot-wire measurements in the mean-shear plane at x divided by d equals 10 x / d = 10 $x/d=10$ , 20 and 40 over Reynolds number italic Re Subscript d Baseline equals 2500 Re d = 2500 $ \textit{Re}_d=2500$ –15 000, based on the free-stream velocity upper U Subscript normal infinity U ∞ $U_\infty$ and the cylinder diameter d d $d$ . At italic Re Subscript d Baseline equals 15 000 Re d = 15 000 $ \textit{Re}_d=15\,000$ and x divided by d equals 20 x / d = 20 $x/d=20$ , the spectra phi Subscript v