Consider incompressible flow in the entrance of a circular tube, as in Fig. P3.53. The inlet flow is uniform, u₁ = Uo- The flow at section 2 is developed pipe flow. Find the wall drag force F as a function of (P₁, P2, P. U, R) if the flow at section 2 is (a) Laminar: u₂ = Umax R 1/7 (b) Turbulent: u Umax - (1 - 1) R P3.53 r=R Vox 2 Friction drag on fluid

Structural Analysis
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Chapter2: Loads On Structures
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P3.53 Consider incompressible flow in the entrance of a circular
tube, as in Fig. P3.53. The inlet flow is uniform, u₁ = Uo
The flow at section 2 is developed pipe flow. Find the wall
drag force F as a function of (P₁, P2, P, U, R) if the flow
at section 2 is
(a) Laminar: u₂ = Umax
(₁-7²)
R
P3.53
(b) Turbulent: ₂ Umax
Q
Uo
(1-1)"
1/7
r=R
--
X
2
Friction drag on fluid
Transcribed Image Text:P3.53 Consider incompressible flow in the entrance of a circular tube, as in Fig. P3.53. The inlet flow is uniform, u₁ = Uo The flow at section 2 is developed pipe flow. Find the wall drag force F as a function of (P₁, P2, P, U, R) if the flow at section 2 is (a) Laminar: u₂ = Umax (₁-7²) R P3.53 (b) Turbulent: ₂ Umax Q Uo (1-1)" 1/7 r=R -- X 2 Friction drag on fluid
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