Oil (kinematic viscosity, υ oil = 1.0 × 10-6 m2/s)

Oil (kinematic viscosity, υ _oil = 1.0 × 10^-6 m²/s) flows through a pipe of 0.5 m diameter with a velocity of 10 m/s. Water (kinematic viscosity, v_w = 0.89 × 10^-6 m²/s) is flowing through a model pipe of diameter 20 mm. For satisfying the dynamic similarity, the velocity of water (in m/s) is _______.

oil water
v = 1.0 × 10^–5 m²/s v = 0.89 × 10– 6 m²/s
d = 0.5 m
d = 0.02 m
v = 10 m/sec
v =?
[R_e]_(oil) = [R_e]_(w)

10 × 0.5	=	V × 0.02
1.0 × 10_-5	=	8.9 × 10_-6

⇒ v = 22.25 m/s