GATE Mechanical Engineering (ME) 2019 Shift 2 Solved Paper

Question : 17 of 65

Marks: +1, -0

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___________.

Your Answer:

Validate

Solution:

Reynold's Number

Re=\;{ρ V_{a v} D}/{µ}

Where: -

ρ

-Fluid Density

V_{a v}-

Average velocity
D- Dimeter of Pipe

µ

- Dynamic viscosity of Fluid

R e=(\;{ρ V_{a v} D}/{µ})=(\;{ρ({Q_{\;\text "pipe "\;}}/{A_{\;\text "pipe "\;}}) 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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