Calculate the kinematic viscosity (stokes) of the fluid if the dynamic viscosity of fluid is 0.5 poise and specific gravity is 0.4?

0.95

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1

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1.25

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1.5

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Solution

The correct option is C $1.25$
Data given:
$Dynamic viscosity, μ = 0.5 p o i s e = 0.05 N s / m^{2}$
$[∵ 10 P o i s e = 1 N s / m^{2}]$
Specific gravity, G=0.4
Kinematic viscosity is given by
$ν = \frac{Dynamic viscosity}{Density} = \frac{μ}{ρ}$
$Density, ρ = G ρ_{w} = 0.4 \times 1000 = 400 k g / m^{3}$
$where, ρ_{ω} = Density of water = 1000 k g / m^{3}$
$Kinematic viscosity, ν = \frac{0.05}{400} = 1.25 \times 10^{- 4} m^{2} / s$
$= 1.25 s t o k e s (10^{4} s t o k e s = 1 m^{2} / s)$

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