Vacuum at Pump Entrance Expressed as Head of Water Calculator

✖Depth of the Suction Pipe Entrance whose function of suction piping is to supply an evenly distributed flow of water to the pump suction.ⓘ Depth of the Suction Pipe Entrance [Zs]			+10% -10%
✖Depth of Submergence of the Pump, A submersible pump pushes water to the surface by converting rotary energy into kinetic energy into pressure energy.ⓘ Depth of Submergence of the Pump [Z_p]			+10% -10%
✖Hydraulic Loss Coefficient from Suction Pipe entrance to pump.ⓘ Hydraulic Loss Coefficient [f]			+10% -10%
✖Flow Velocity in the Suction Pipe is a measure of speed of the flow through a suction pipe.ⓘ Flow Velocity in the Suction Pipe [Vs]			+10% -10%
✖Specific Weight of the Mixture in the Suction Pipe.ⓘ Specific Weight of the Mixture [γ_m]			+10% -10%
✖Specific Weight of Water is the weight per unit volume of water.ⓘ Specific Weight of Water [y_w]			+10% -10%

✖Vacuum at the Pump entrance expressed as Head of water.ⓘ Vacuum at Pump Entrance Expressed as Head of Water [p_*]

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Formula

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Vacuum at Pump Entrance Expressed as Head of Water

Formula

`"p"_{"*"} = (("Zs"-"Z"_{"p"}+("f"*"Vs"^2/2*"[g]")*"γ"_{"m"})/"y"_{"w"})-"Zs"`

Example

`"2.09966m"=(("6m"-"6.5m"+("0.02"*("9m/s")^2/2*"[g]")*"10kN/m³")/"9.807kN/m³")-"6m"`

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Vacuum at Pump Entrance Expressed as Head of Water Solution

STEP 0: Pre-Calculation Summary

Formula Used

Vacuum at the Pump entrance = ((Depth of the Suction Pipe Entrance-Depth of Submergence of the Pump+(Hydraulic Loss Coefficient*Flow Velocity in the Suction Pipe^2/2*[g])*Specific Weight of the Mixture)/Specific Weight of Water)-Depth of the Suction Pipe Entrance
p_* = ((Zs-Z_p+(f*Vs^2/2*[g])*γ_m)/y_w)-Zs
This formula uses 1 Constants, 7 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Vacuum at the Pump entrance - (Measured in Meter) - Vacuum at the Pump entrance expressed as Head of water.
Depth of the Suction Pipe Entrance - (Measured in Meter) - Depth of the Suction Pipe Entrance whose function of suction piping is to supply an evenly distributed flow of water to the pump suction.
Depth of Submergence of the Pump - (Measured in Meter) - Depth of Submergence of the Pump, A submersible pump pushes water to the surface by converting rotary energy into kinetic energy into pressure energy.
Hydraulic Loss Coefficient - Hydraulic Loss Coefficient from Suction Pipe entrance to pump.
Flow Velocity in the Suction Pipe - (Measured in Meter per Second) - Flow Velocity in the Suction Pipe is a measure of speed of the flow through a suction pipe.
Specific Weight of the Mixture - (Measured in Newton per Cubic Meter) - Specific Weight of the Mixture in the Suction Pipe.
Specific Weight of Water - (Measured in Newton per Cubic Meter) - Specific Weight of Water is the weight per unit volume of water.

STEP 1: Convert Input(s) to Base Unit

Depth of the Suction Pipe Entrance: 6 Meter --> 6 Meter No Conversion Required
Depth of Submergence of the Pump: 6.5 Meter --> 6.5 Meter No Conversion Required
Hydraulic Loss Coefficient: 0.02 --> No Conversion Required
Flow Velocity in the Suction Pipe: 9 Meter per Second --> 9 Meter per Second No Conversion Required
Specific Weight of the Mixture: 10 Kilonewton per Cubic Meter --> 10000 Newton per Cubic Meter (Check conversion here)
Specific Weight of Water: 9.807 Kilonewton per Cubic Meter --> 9807 Newton per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

p_* = ((Zs-Z_p+(f*Vs^2/2*[g])*γ_m)/y_w)-Zs --> ((6-6.5+(0.02*9^2/2*[g])*10000)/9807)-6

Evaluating ... ...

p_* = 2.09965993677985

STEP 3: Convert Result to Output's Unit

2.09965993677985 Meter --> No Conversion Required

FINAL ANSWER

2.09965993677985 ≈ 2.09966 Meter <-- Vacuum at the Pump entrance

(Calculation completed in 00.008 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Dredging Equipment » Plain Suction Dredge » Vacuum at Pump Entrance Expressed as Head of Water

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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Verified by M Naveen

National Institute of Technology (NIT), Warangal

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< 9 Plain Suction Dredge Calculators

Flow Velocity in Suction Pipe

Go Flow Velocity in the Suction Pipe = sqrt((((Vacuum at the Pump entrance+Depth of the Suction Pipe Entrance)*Specific Weight of Water/Specific Weight of the Mixture)-Depth of the Suction Pipe Entrance+Depth of Submergence of the Pump)*(2*[g])/Fetch Length)

Hydraulic Loss Coefficient from Suction Pipe Entrance to Pump

Go Hydraulic Loss Coefficient = (((Vacuum at the Pump entrance+Depth of the Suction Pipe Entrance)*Specific Weight of Water/Specific Weight of the Mixture)-Depth of the Suction Pipe Entrance+Depth of Submergence of the Pump)/(Flow Velocity in the Suction Pipe^2/2*[g])

Specific Weight of Water in Suction Pipe

Go Specific Weight of Water = ((Depth of the Suction Pipe Entrance-Depth of Submergence of the Pump+(Hydraulic Loss Coefficient*Flow Velocity in the Suction Pipe^2/2*[g]))*Specific Weight of the Mixture)/(Vacuum at the Pump entrance+Depth of the Suction Pipe Entrance)

Vacuum at Pump Entrance Expressed as Head of Water

Go Vacuum at the Pump entrance = ((Depth of the Suction Pipe Entrance-Depth of Submergence of the Pump+(Hydraulic Loss Coefficient*Flow Velocity in the Suction Pipe^2/2*[g])*Specific Weight of the Mixture)/Specific Weight of Water)-Depth of the Suction Pipe Entrance

Specific Weight of Mixture in Suction Pipe

Go Specific Weight of the Mixture = (Vacuum at the Pump entrance+Depth of the Suction Pipe Entrance)*Specific Weight of Water/(Depth of the Suction Pipe Entrance-Depth of Submergence of the Pump+(Hydraulic Loss Coefficient*Flow Velocity in the Suction Pipe^2/2*[g]))

Specific Weight of Mixture in Suction Pipe for Concentration of Soil in Volumetric Basis

Go Specific Weight of the Mixture = Concentration of Soil in the Mixture*Specific Weight of Dry Sand Grains+(1-Concentration of Soil in the Mixture)*Specific Weight of Water

Specific Weight of Dry Sand Grains for Concentration of Soil in Volumetric Basis

Go Specific Weight of Dry Sand Grains = ((Specific Weight of the Mixture-Specific Weight of Water)/Concentration of Soil in the Mixture)+Specific Weight of Water

Concentration of Soil in Volumetric Basis

Go Concentration of Soil in the Mixture = (Specific Weight of the Mixture-Specific Weight of Water)/(Specific Weight of Dry Sand Grains-Specific Weight of Water)

Specific Weight of Mixture for Concentration of Soil in Volumetric Basis

Go Specific Weight of the Mixture = Concentration of Soil in the Mixture*(Specific Weight of Dry Sand Grains-Specific Weight of Water)+Specific Weight of Water

Vacuum at Pump Entrance Expressed as Head of Water Formula

What is Suction Dredger?

A Suction Dredger is a stationary dredger normally used for mining sand. The suction pipe of this dredger is inserted into the sand deposit and water jets are used to bring the sand up from the excavation site.

What is the difference between Volumetric and Gravimetric Water Content?

Gravimetric water content is the weight of soil water contained in a unit weight of soil (kg water/kg dry soil).
Likewise, volumetric water content is a volume fraction (m3 water/m3 soil).

How to Calculate Vacuum at Pump Entrance Expressed as Head of Water?

Vacuum at Pump Entrance Expressed as Head of Water calculator uses Vacuum at the Pump entrance = ((Depth of the Suction Pipe Entrance-Depth of Submergence of the Pump+(Hydraulic Loss Coefficient*Flow Velocity in the Suction Pipe^2/2*[g])*Specific Weight of the Mixture)/Specific Weight of Water)-Depth of the Suction Pipe Entrance to calculate the Vacuum at the Pump entrance, The Vacuum at Pump Entrance Expressed as Head of Water formula is defined as a parameter relating to generating a relative vacuum within a capacity. Vacuum at the Pump entrance is denoted by p_* symbol.

How to calculate Vacuum at Pump Entrance Expressed as Head of Water using this online calculator? To use this online calculator for Vacuum at Pump Entrance Expressed as Head of Water, enter Depth of the Suction Pipe Entrance (Zs), Depth of Submergence of the Pump (Z_p), Hydraulic Loss Coefficient (f), Flow Velocity in the Suction Pipe (Vs), Specific Weight of the Mixture (γ_m) & Specific Weight of Water (y_w) and hit the calculate button. Here is how the Vacuum at Pump Entrance Expressed as Head of Water calculation can be explained with given input values -> 2.09966 = ((6-6.5+(0.02*9^2/2*[g])*10000)/9807)-6.

FAQ

What is Vacuum at Pump Entrance Expressed as Head of Water?

The Vacuum at Pump Entrance Expressed as Head of Water formula is defined as a parameter relating to generating a relative vacuum within a capacity and is represented as p_* = ((Zs-Z_p+(f*Vs^2/2*[g])*γ_m)/y_w)-Zs or Vacuum at the Pump entrance = ((Depth of the Suction Pipe Entrance-Depth of Submergence of the Pump+(Hydraulic Loss Coefficient*Flow Velocity in the Suction Pipe^2/2*[g])*Specific Weight of the Mixture)/Specific Weight of Water)-Depth of the Suction Pipe Entrance. Depth of the Suction Pipe Entrance whose function of suction piping is to supply an evenly distributed flow of water to the pump suction, Depth of Submergence of the Pump, A submersible pump pushes water to the surface by converting rotary energy into kinetic energy into pressure energy, Hydraulic Loss Coefficient from Suction Pipe entrance to pump, Flow Velocity in the Suction Pipe is a measure of speed of the flow through a suction pipe, Specific Weight of the Mixture in the Suction Pipe & Specific Weight of Water is the weight per unit volume of water.

How to calculate Vacuum at Pump Entrance Expressed as Head of Water?

The Vacuum at Pump Entrance Expressed as Head of Water formula is defined as a parameter relating to generating a relative vacuum within a capacity is calculated using Vacuum at the Pump entrance = ((Depth of the Suction Pipe Entrance-Depth of Submergence of the Pump+(Hydraulic Loss Coefficient*Flow Velocity in the Suction Pipe^2/2*[g])*Specific Weight of the Mixture)/Specific Weight of Water)-Depth of the Suction Pipe Entrance. To calculate Vacuum at Pump Entrance Expressed as Head of Water, you need Depth of the Suction Pipe Entrance (Zs), Depth of Submergence of the Pump (Z_p), Hydraulic Loss Coefficient (f), Flow Velocity in the Suction Pipe (Vs), Specific Weight of the Mixture (γ_m) & Specific Weight of Water (y_w). With our tool, you need to enter the respective value for Depth of the Suction Pipe Entrance, Depth of Submergence of the Pump, Hydraulic Loss Coefficient, Flow Velocity in the Suction Pipe, Specific Weight of the Mixture & Specific Weight of Water and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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