A Newtonian fluid flows through 2-in. commercial steel pipe (I.D. = 0.0525 m). 

Liquid Properties: 
Density = 1.00 g/mL
Viscosity = 1.05 cP 
Flow= 0.500 $$m^3//min$$

The Reynolds number is most nearly: 

A.   1.93×103
B.   7.94×103
C.   1.93×105
D.   1.15×107

1 Answer

Ethan A Croyle

Updated on December 26th, 2020

ID incorrect should be .0508 m for a 2 in. pipe, but continuing with given numbers…

Re=(rho*u*D)/(Mu)

rho=1 g/mL= 1000 kg/m^3

D=.0525 m

A=area=(pi*D^2)/4 m^2

volume/min=(.5* m^3/min)

u=volume/min x(1min/60sec)x(1/A)=.5(m^3/min)x (1min/60sec)x(1/((pi*.0525^2)/4))=~3.85

Mu=viscosity=1.05cP=1.05*10^-3 Pa*s (assuming dynamic viscosity)

Re=(1000x3.85x.0525)/(1.05x10^-3)=192477.6 nearly reaching to C 522 difference

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