Flow Velocity in Suction Pipe Calculator

✖Vacuum at the Pump entrance expressed as Head of water.ⓘ Vacuum at the Pump entrance [p_*]			+10% -10%
✖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%
✖Specific Weight of Water is the weight per unit volume of water.ⓘ Specific Weight of Water [y_w]			+10% -10%
✖Specific Weight of the Mixture in the Suction Pipe.ⓘ Specific Weight of the Mixture [γ_m]			+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%
✖Fetch Length is the unobstructed distance that wind can travel over water in a constant direction.ⓘ Fetch Length [F_l]			+10% -10%

✖Flow Velocity in the Suction Pipe is a measure of speed of the flow through a suction pipe.ⓘ Flow Velocity in Suction Pipe [Vs]

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Formula

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Flow Velocity in Suction Pipe

Formula

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

Example

`"9.099677m/s"=sqrt(((("2.1m"+"6m")*"9.807kN/m³"/"10kN/m³")-"6m"+"6.5m")*(2*"[g]")/"2m")`

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Flow Velocity in Suction Pipe Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
Vs = sqrt((((p_*+Zs)*y_w/γ_m)-Zs+Z_p)*(2*[g])/F_l)
This formula uses 1 Constants, 1 Functions, 7 Variables

Constants Used

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

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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.
Specific Weight of Water - (Measured in Newton per Cubic Meter) - Specific Weight of Water is the weight per unit volume of water.
Specific Weight of the Mixture - (Measured in Newton per Cubic Meter) - Specific Weight of the Mixture in the Suction Pipe.
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.
Fetch Length - (Measured in Meter) - Fetch Length is the unobstructed distance that wind can travel over water in a constant direction.

STEP 1: Convert Input(s) to Base Unit

Vacuum at the Pump entrance: 2.1 Meter --> 2.1 Meter No Conversion Required
Depth of the Suction Pipe Entrance: 6 Meter --> 6 Meter No Conversion Required
Specific Weight of Water: 9.807 Kilonewton per Cubic Meter --> 9807 Newton per Cubic Meter (Check conversion here)
Specific Weight of the Mixture: 10 Kilonewton per Cubic Meter --> 10000 Newton per Cubic Meter (Check conversion here)
Depth of Submergence of the Pump: 6.5 Meter --> 6.5 Meter No Conversion Required
Fetch Length: 2 Meter --> 2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Vs = sqrt((((p_*+Zs)*y_w/γ_m)-Zs+Z_p)*(2*[g])/F_l) --> sqrt((((2.1+6)*9807/10000)-6+6.5)*(2*[g])/2)

Evaluating ... ...

Vs = 9.09967671983461

STEP 3: Convert Result to Output's Unit

9.09967671983461 Meter per Second --> No Conversion Required

FINAL ANSWER

9.09967671983461 ≈ 9.099677 Meter per Second <-- Flow Velocity in the Suction Pipe

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Dredging Equipment » Plain Suction Dredge » Flow Velocity in Suction Pipe

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

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

Flow Velocity in Suction Pipe 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 Flow Velocity in Suction Pipe?

Flow Velocity in Suction Pipe calculator uses 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) to calculate the Flow Velocity in the Suction Pipe, The Flow velocity in Suction Pipe formula is defined as an area-averaged property which is independent of the pipe's cross-sectional flow distribution and whether the flow is laminar or turbulent. For example, along the central axis, fluid may be travelling at twice the calculated pipe velocity. Flow Velocity in the Suction Pipe is denoted by Vs symbol.

How to calculate Flow Velocity in Suction Pipe using this online calculator? To use this online calculator for Flow Velocity in Suction Pipe, enter Vacuum at the Pump entrance (p_*), Depth of the Suction Pipe Entrance (Zs), Specific Weight of Water (y_w), Specific Weight of the Mixture (γ_m), Depth of Submergence of the Pump (Z_p) & Fetch Length (F_l) and hit the calculate button. Here is how the Flow Velocity in Suction Pipe calculation can be explained with given input values -> 9.099677 = sqrt((((2.1+6)*9807/10000)-6+6.5)*(2*[g])/2).

FAQ

What is Flow Velocity in Suction Pipe?

The Flow velocity in Suction Pipe formula is defined as an area-averaged property which is independent of the pipe's cross-sectional flow distribution and whether the flow is laminar or turbulent. For example, along the central axis, fluid may be travelling at twice the calculated pipe velocity and is represented as Vs = sqrt((((p_*+Zs)*y_w/γ_m)-Zs+Z_p)*(2*[g])/F_l) or 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). Vacuum at the Pump entrance expressed as Head of water, Depth of the Suction Pipe Entrance whose function of suction piping is to supply an evenly distributed flow of water to the pump suction, Specific Weight of Water is the weight per unit volume of water, Specific Weight of the Mixture in the Suction Pipe, Depth of Submergence of the Pump, A submersible pump pushes water to the surface by converting rotary energy into kinetic energy into pressure energy & Fetch Length is the unobstructed distance that wind can travel over water in a constant direction.

How to calculate Flow Velocity in Suction Pipe?

The Flow velocity in Suction Pipe formula is defined as an area-averaged property which is independent of the pipe's cross-sectional flow distribution and whether the flow is laminar or turbulent. For example, along the central axis, fluid may be travelling at twice the calculated pipe velocity is calculated using 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). To calculate Flow Velocity in Suction Pipe, you need Vacuum at the Pump entrance (p_*), Depth of the Suction Pipe Entrance (Zs), Specific Weight of Water (y_w), Specific Weight of the Mixture (γ_m), Depth of Submergence of the Pump (Z_p) & Fetch Length (F_l). With our tool, you need to enter the respective value for Vacuum at the Pump entrance, Depth of the Suction Pipe Entrance, Specific Weight of Water, Specific Weight of the Mixture, Depth of Submergence of the Pump & Fetch Length 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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