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Vacuum at Pump Entrance Expressed as Head of Water Formula

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Vacuum at the Pump Entrance refers to the negative pressure created at the inlet of a pump used for applications such as dredging, dewatering, or managing water flow in coastal projects. Check FAQs

p' = (\frac{Zs - Z p + (f \cdot \frac{{Vs}^{2}}{2} \cdot [g]) \cdot γ m}{y w}) - Zs

p^' - Vacuum at the Pump Entrance?Zs - Depth of the Suction Pipe Entrance?Z_p - Depth of Submergence of the Pump?f - Hydraulic Loss Coefficient?Vs - Flow Velocity in the Suction Pipe?γ_m - Specific Weight of the Mixture?y_w - Specific Weight of Water?[g] - Gravitational acceleration on Earth?

Vacuum at Pump Entrance Expressed as Head of Water Example

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Here is how the Vacuum at Pump Entrance Expressed as Head of Water equation looks like with Values.

Here is how the Vacuum at Pump Entrance Expressed as Head of Water equation looks like with Units.

Here is how the Vacuum at Pump Entrance Expressed as Head of Water equation looks like.

2.0997 = (\frac{6 - 6.5 + (0.02 \cdot \frac{9^{2}}{2} \cdot 9.8066) \cdot 10}{9.807}) - 6

2.0997m = (\frac{6m - 6.5m + (0.02 \cdot \frac{{9m/s}^{2}}{2} \cdot 9.8066m/s²) \cdot 10kN/m³}{9.807kN/m³}) - 6m

2.0997 = (\frac{6 - 6.5 + (0.02 \cdot \frac{9^{2}}{2} \cdot 9.8066) \cdot 10}{9.807}) - 6

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Vacuum at Pump Entrance Expressed as Head of Water Solution

Follow our step by step solution on how to calculate Vacuum at Pump Entrance Expressed as Head of Water?

FIRST Step Consider the formula

p' = (\frac{Zs - Z p + (f \cdot \frac{{Vs}^{2}}{2} \cdot [g]) \cdot γ m}{y w}) - Zs

Next Step Substitute values of Variables

∴

p' = (\frac{6m - 6.5m + (0.02 \cdot \frac{{9m/s}^{2}}{2} \cdot [g]) \cdot 10kN/m³}{9.807kN/m³}) - 6m

Next Step Substitute values of Constants

∴

p' = (\frac{6m - 6.5m + (0.02 \cdot \frac{{9m/s}^{2}}{2} \cdot 9.8066m/s²) \cdot 10kN/m³}{9.807kN/m³}) - 6m

Next Step Convert Units

∴

p' = (\frac{6m - 6.5m + (0.02 \cdot \frac{{9m/s}^{2}}{2} \cdot 9.8066m/s²) \cdot 10000N/m³}{9807N/m³}) - 6m

Next Step Prepare to Evaluate

∴

p' = (\frac{6 - 6.5 + (0.02 \cdot \frac{9^{2}}{2} \cdot 9.8066) \cdot 10000}{9807}) - 6

Next Step Evaluate

∴

p' = 2.09965993677985m

LAST Step Rounding Answer

∴

p' = 2.0997m

Vacuum at Pump Entrance Expressed as Head of Water Formula Elements

Variables

Constants

Vacuum at the Pump Entrance

Vacuum at the Pump Entrance refers to the negative pressure created at the inlet of a pump used for applications such as dredging, dewatering, or managing water flow in coastal projects.

Symbol: p^'

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Vacuum at the Pump Entrance

Depth of the Suction Pipe Entrance

Depth of the Suction Pipe Entrance refers to the vertical distance between the water surface and the point where the suction pipe intake is located.

Symbol: Zs

Measurement: LengthUnit: m