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Oil (specific gravity of 0.80 and a viscosity of 0.000042 lbf/ft2) at a temperature of 80 F flows through two separate pipes 10 and 12 inches in diameter. if the mean velocity of flow in the 12 in. pipe is 6 ft/s, the velocity of flow in the 10 in pipe will be:

Respuesta :

Answer:

The velocity of flow in 10in pipe is 4.16 ft/s.

Explanation:

Given that

Specific gravity = 0.8

Viscosity =0.00042[tex]lbf/ft^2[/tex]

For pipe 1

[tex]V_1=6 ft/s,d_1=12\ in[/tex]

For pipe 1

[tex]V_2,d_1=10\ in[/tex]

If we assume that flow in the both pipe is laminar

For laminar flow through circular pipe

[tex]\dfrac{\Delta P}{L}=\dfrac{32V\mu }{d^2}[/tex]

So same pressure drop we can say that

[tex]\dfrac{V_1 }{d^2_1}=\dfrac{V_2}{d^2_2}[/tex]

[tex]\dfrac{6}{12^2}=\dfrac{V_2}{10^2}[/tex]

[tex]V_2=4.16 ft/s[/tex]

So the velocity of flow in 10in pipe is 4.16 ft/s.