Question

When a 13-cm pipeline is filled with air at 30'C a. what is the maximum speed (in m/s) the air could be traveling if flow were laminar? b. what would be the maximum speed (in m/s)'to maintain laminar flow if the pipeline were filled with water at the same temperature instead of air?

Answer 1

Answer:
`V_(air)=0.259m/s`

`V_(water)=0.01293m/s`

Step-by-step explanation:

Given data

Length of pipe
`\left ( L\right )`=13cm=0.13m

From tables at
`T=30^(\circ)`

Kinematic viscosity of air
`\left ( \mu\right )=1.6036* 10{-5} m^(2)/s`

and reynolds number is given by

Re=
`(V* \characteristic\ length)/(Kinematic visocity)`

Flow is laminar up to Re.no. 2100

Re=
`\frac{V* L}{1.6036* 10{-5}}`

2100=
`\frac{V* 0.13}{1.6036* 10{-5}}`

V=0.259 m/s

For water

Kinematic viscosity of water
`\left ( \mu\right )=0.801* 10{-6}m^(2)/s`

2100=
`\frac{V* 0.13}{0.801* 10{-6}}`

V=0.01293 m/s