Consider a steady flow of an incompressible Newtonian fluid through a smooth circular pipe. For turbulent flow, the kinetic energy correction factor is
\[
\alpha_{turbulent} = \left(\frac{V_0}{\overline{V}}\right)^3 \frac{2n^2}{(3+n)(3+2n)}
\]
and the ratio of average velocity to centerline velocity is
\[
\frac{\overline{V}}{V_0} = \frac{2n^2}{(n+1)(2n+1)}.
\]
For n = 7, the value of \(\frac{\alpha_{turbulent}}{\alpha_{laminar}}\) is \(\underline{\hspace{1cm}}\) (round to 2 decimals).