Oil with a kinematic viscosity of 4 10 6 m2 /s fl ows through a smooth pipe 12 cm in diameter at 2.3 m/s. What velocity should water?

Velocity of 5 cm diameter pipe is 1.38 m/s

Explanation:

Use following equation of Relation between the Reynolds numbers of both pipes

=

=

= Reynold number of water pipe

= Reynold number of oil pipe

= Velocity of water 5 diameter pipe = ?

= Velocity of oil 12 diameter pipe = 2.30

= Kinetic Viscosity of water = 1 x /s

= Kinetic Viscosity of oil =  4 x /s

= Diameter of pipe used for water = 0.05 m

= Diameter of pipe used for oil = 0.12 m

Use the formula

=

By Removing square rots on both sides

=

= x

= [ (0.23 x 0.12m ) / (4 x /s) x 0.05 ] 1 x /s

= 1.38 m/s