Problem 1.336

The cross-sectional radius of a pipeline decreases gradually as \(r=r_{9} \mathrm{e}^{-\alpha x}\), where \(\alpha=0.50 \mathrm{~m}^{-1}, x\) is the distance from the pipeline inlet. Find the ratio of Reynolds numbers for two cross-sections separated by \(\Delta x=3.2 \mathrm{~m}\).