Question

A fluidis flowing through a capillary

tube having diameter of 1.0 mm andReynolds number of 1000.
Calculate the velocity of the fluid, ifkinematic viscosity of fluid
is 1.1012 x
10-6m2/s.

Answer 1

The velocity of the fluid is 1.1012 m/s

Solution:

As per the question, for the fluid:

Diameter of the capillary tube, d = 1.0 mm =
`1.0* 10^(- 3) m`

Reynolds No., R = 1000

Kinematic viscosity,
`\mu_(k) = 1.1012* 10^(- 6) m^(2)/s`

Now, for the fluid velocity, we use the relation:

`R = (v_(f)* d)/(\mu_(k))`

where

`v_(f)` = velocity of fluid

`v_(f) = (R* \mu_(k))/(d)`

`v_(f) = (1000* 1.1012* 10^(- 6))/(1.0* 10^(- 3)) = 1.1012 m/s`