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?

Respuesta :

Answer:[tex]V_{air}=0.259m/s[/tex]

[tex]V_{water}=0.01293m/s[/tex]

Explanation:

Given data

Length of pipe[tex]\left ( L\right )[/tex]=13cm=0.13m

From tables at [tex]T=30^{\circ}[/tex]

Kinematic viscosity of air[tex]\left ( \mu\right )=1.6036\times 10{-5} m^{2}/s[/tex]

and reynolds number is given by

Re=[tex]\frac{V\times \characteristic\ length}{Kinematic visocity}[/tex]

Flow is laminar up to Re.no. 2100

Re=[tex]\frac{V\times L}{1.6036\times 10{-5}}[/tex]

2100=[tex]\frac{V\times 0.13}{1.6036\times 10{-5}}[/tex]

V=0.259 m/s

For water

Kinematic viscosity of water[tex]\left ( \mu\right )=0.801\times 10{-6}m^{2}/s[/tex]

2100=[tex]\frac{V\times 0.13}{0.801\times 10{-6}}[/tex]

V=0.01293 m/s