Question
Water enters a circular pipe of length L = 5.0 m and diameter D = 0.20 m with Reynolds number ReD = 500. The velocity profile at the inlet of the pipe is uniform while it is parabolic at the exit. The Reynolds number at the exit of the pipe is___________.
Answer :
500
Reynold’s Number
Re = ρVavD/ μ
Where: - ρ − Fluid Density
Vav Average velocity
D − Dimeter of Pipe
μ – Dynamic viscosity of Fluid
Re = ρVavD/ μ = ρ(Qpipe/Apipe)D/ μ
From above expiration, Reynold’s Number is independent of flow profile. Hence, Reynold’s Number for parabolic flow profile is 500.
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