Water flows at a speed of 6 cm s-1 through a tube of radius 1 cm. Coefficient

Discussion Forum : Mechanical Properties Of Fluids

Question -

Water flows at a speed of 6 cm s^-1 through a tube of radius 1 cm. Coefficient of viscosity of water at room temperature is 0.01 poise. Calculate the Reynolds number. Is it a steady flow?

Options:

A . 60, yes

B . 60, no

C . 120, yes

D . 120, no

Answer: Option C
:
C

You know,
Reynolds number, $N = \frac{ρ v D}{η}$
Where, $ρ$ = density of fluid

v = velocity of flow of the fluid

D = diameter of the tube
$η$ = coefficient of viscosity of the fluid
$\Rightarrow N = \frac{1000 \times \frac{6}{100} \times \frac{2}{100}}{0.01}$
{all values in SI}
N = 120 {Dimensionless}, yes the flow is steady

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