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Fluid mechanics and hydraulics miscellaneous

Fluid Mechanics and Hydraulics

Direction: An upward flow of oil (mass density 800 kg/m³, dynamic viscosity 0.8 kg/m–s) takes place under laminar conditions in an inclined pipe of 0.1 m diameter as shown in the figure. The pressures at section 1 and 2 are measured p1 = 435 kN/m² and p² = 200 kN/m².

  1. If the flow is reversed, keeping the same discharge, and the pressure at section 1 is maintained as 435 kN/m², the pressure at section 2 is equal to
    1. 488 kN/m²
    2. 549 kN/m²
    3. 586 kN/m²
    4. 614 kN/m²
Correct Option: D

P2
+ sin 45° =
P1
+
32 μVL
rrPgD²

P2 =
435 × 10³
+
32 × 0.8 × 16.2 × 5
-
5
× 800 × 9.81 = 614.48kN/m²
800 × 9.81800 × 9.81 × (0.1)²V2

= 614.48 kN/m².



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