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Q#1 GATE CH 2021 NAT +1 mark -0 marks

Consider a steady flow of an incompressible, Newtonian fluid through a smooth circular pipe. Let 𝜶𝒍𝒂𝒎𝒊𝒏𝒂𝒓 and 𝜶𝒕𝒖𝒓𝒃𝒖𝒍𝒆𝒏𝒕 denote the kinetic energy correction factors for laminar and turbulent flow through the pipe, respectively. For turbulent flow through the pipe

                                     

Here, 𝑽̅ 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

                                           

For 𝒏 = 𝟕, 𝒕he value of  is__________(round off to 2 decimal                                              places).

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