Exercice 3 – Installation de pompage

7.3 μs

0.05

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begin
    Qᵥ = 3 / 3600
    Dₐ = 15e-2
    Dᵣ = 5e-2
end

96.0 ns

0.047157

0.424413

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Vₐ, Vᵣ = 4Qᵥ / π / Dₐ ^ 2,  4Qᵥ / π / Dᵣ ^ 2

6.8 μs

ΔH

6.5

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ΔH = 6.5

93.0 ns

0.001

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begin
    ρ = 1e3
    μ = 1e-3
end

103 ns

7073.55

21220.7

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Reₐ, Reᵣ = ρ * Vₐ * Dₐ / μ, ρ * Vᵣ * Dᵣ / μ

94.0 ns

0.034457

0.0261817

x
 
λₐ, λᵣ = 0.316 / Reₐ ^ (1 / 4), 0.316 / Reᵣ ^ (1 / 4)

7.7 μs

1.7

1.7

x
 
Kₐ, Kᵣ = 3 * 0.2 + 1.1, 17 * 0.1

80.0 ns

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Lₐ, Lᵣ = 4, 24

76.0 ns

9.81

3.0

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g, h = 9.81, 3.

85.0 ns

hₐ

0.00029682806340644466

x
 
hₐ = Vₐ ^ 2 / 2g * (Lₐ * λₐ / Dₐ + Kₐ)

3.7 μs

hᵣ

3.130983786593623

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hᵣ = Vᵣ ^ 2 / 2g * (Lᵣ * λᵣ / Dᵣ + Kᵣ) + h

5.7 μs

Pₚ

25.59821902482122

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Pₚ = ρ * g * (hₐ + hᵣ) * Qᵥ

86.0 ns

Pᵣ

27.23214789874598

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Pᵣ = Pₚ / 0.94

90.0 ns