Consider a steady flow of an incompressible, Newtonian fluid through a smooth circular pipe. Let α_laminar and α_turbulent denote the kinetic energy correction factors for laminar and turbulent flow through the pipe, respectively. For turbulent flow through the pipe α_turbulent=((V₀)/‾V)³ (2n²)/((3+n)(3+2n)) Here, ‾V is the average velocity, V₀ is the centerline velocity, and n is a parameter. The ratio of average velocity to the centerline velocity for turbulent flow through the pipe is given by (‾V)/(V₀) = (2n²)/((n+1)(2n+1))
For n=7 the value of α_turbulent/α_laminar is _______ (round off to 2 decimal places).