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)*yw/γm)-Zs+Zp)*(2*[g])/Fl)
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 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.
Depth of the Suction Pipe Entrance - (Measured in Meter) - 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.
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 refers to the weight per unit volume of a mixture, such as water and suspended sediments or other materials, found in coastal environments.
Depth of Submergence of the Pump - (Measured in Meter) - Depth of Submergence of the Pump refers to the vertical distance between the water surface and the inlet of the pump when it is fully submerged.
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)*ywm)-Zs+Zp)*(2*[g])/Fl) --> 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)

Credits

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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!
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Verified by M Naveen
National Institute of Technology (NIT), Warangal
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Plain Suction Dredge Calculators

Flow Velocity in Suction Pipe
​ LaTeX ​ 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
​ LaTeX ​ 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])
Vacuum at Pump Entrance Expressed as Head of Water
​ LaTeX ​ 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
​ LaTeX ​ 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]))

Flow Velocity in Suction Pipe Formula

​LaTeX ​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)
Vs = sqrt((((p'+Zs)*yw/γm)-Zs+Zp)*(2*[g])/Fl)

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 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 (yw), Specific Weight of the Mixture m), Depth of Submergence of the Pump (Zp) & Fetch Length (Fl) 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 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)*ywm)-Zs+Zp)*(2*[g])/Fl) 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 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, 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, Specific Weight of Water is the weight per unit volume of water, Specific Weight of the Mixture refers to the weight per unit volume of a mixture, such as water and suspended sediments or other materials, found in coastal environments, Depth of Submergence of the Pump refers to the vertical distance between the water surface and the inlet of the pump when it is fully submerged & 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 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 (yw), Specific Weight of the Mixture m), Depth of Submergence of the Pump (Zp) & Fetch Length (Fl). 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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