Exercice 1 – Manomètre en U

15.1 μs

13600.0

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begin
    H₁ = 820e-3
    H₂ = 340e-3
    ρ = 890.0
    ρ̅ = 13.6e3
end

56.0 ns

$h_{r} = \frac{ρ^{'} - ρ}{ρ} (H_{1} - H_{2})$

soit

$h_{r} = 6.85 m .$

5.0 μs

hᵣ

6.8548314606741565

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hᵣ = (ρ̅ - ρ) * (H₁ - H₂) / ρ

75.0 ns

$V = \frac{ρ g D^{2} h_{r}}{32 μ L} = 1.28 m \cdot s^{- 1} .$

2.1 μs

0.275

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begin
    g = 9.81
    L = 120.
    D = 150e-3
    μ = 0.275
end

52.0 ns

1.2751885227272726

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V = ρ * g * D ^ 2 * hᵣ / (32μ * L)

6.9 ms

$Φ_{r} = ρ g h_{r} q_{v} = 1350 W$

où $q_{v}$ dénote le débit volumique

$q_{v} = S V .$

3.3 μs

q_v

0.022534441284048867

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q_v = π * D ^ 2 / 4 * V

7.5 ms

Φᵣ

1348.6603511739652

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Φᵣ = ρ * g * hᵣ * q_v

70.0 ns