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Fluid mechanics and hydraulics miscellaneous

Fluid Mechanics and Hydraulics

  1. Flow rate of a fluid (density = 1000 kg/m3) in a small diameter tube is 800 mm3 /s. The length and the diameter of the tube are 2 m and 0.5 mm, respectively. The pressure drop in 2 m length is equal to 2.0 MPa. The viscosity of the fluid is
    1. 0.025 N.s/m2
    2. 0.012 N.s/m2
    3. 0.00192 N.s/m2
    4. 0.00102 N.s/m2
Correct Option: C

hf =
flv2
, f =
64
=
64
2gDReρv (d /μ)

∴ hf =
64μ
×
lv2
ρVd2gD

=
32 LVμ
PgD2

V =
Q
=
Q
=
800
A(π /4)d2(π /4)(0.5)2

= 4.07 m /s
∴ hf =
32 × 2 × 4.072 × μ
1000 × 9.81 × (0.5 × 103)2

∴ μ = 0.00192 N3 / m2



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