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Flow Velocity in Suction Pipe Formula

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Flow Velocity in the Suction Pipe is a measure of speed of the flow through a suction pipe. Check FAQs

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

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

Flow Velocity in Suction Pipe Example

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Here is how the Flow Velocity in Suction Pipe equation looks like with Values.

Here is how the Flow Velocity in Suction Pipe equation looks like with Units.

Here is how the Flow Velocity in Suction Pipe equation looks like.

9.0997 = \sqrt{(((2.1 + 6) \cdot \frac{9.807}{10}) - 6 + 6.5) \cdot \frac{2 \cdot 9.8066}{2}}

9.0997m/s = \sqrt{(((2.1m + 6m) \cdot \frac{9.807kN/m³}{10kN/m³}) - 6m + 6.5m) \cdot \frac{2 \cdot 9.8066m/s²}{2m}}

9.0997 = \sqrt{(((2.1 + 6) \cdot \frac{9.807}{10}) - 6 + 6.5) \cdot \frac{2 \cdot 9.8066}{2}}

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Flow Velocity in Suction Pipe Solution

Follow our step by step solution on how to calculate Flow Velocity in Suction Pipe?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Vs = \sqrt{(((2.1m + 6m) \cdot \frac{9.807kN/m³}{10kN/m³}) - 6m + 6.5m) \cdot \frac{2 \cdot [g]}{2m}}

Next Step Substitute values of Constants

∴

Vs = \sqrt{(((2.1m + 6m) \cdot \frac{9.807kN/m³}{10kN/m³}) - 6m + 6.5m) \cdot \frac{2 \cdot 9.8066m/s²}{2m}}

Next Step Convert Units

∴

Vs = \sqrt{(((2.1m + 6m) \cdot \frac{9807N/m³}{10000N/m³}) - 6m + 6.5m) \cdot \frac{2 \cdot 9.8066m/s²}{2m}}

Next Step Prepare to Evaluate

∴

Vs = \sqrt{(((2.1 + 6) \cdot \frac{9807}{10000}) - 6 + 6.5) \cdot \frac{2 \cdot 9.8066}{2}}

Next Step Evaluate

∴

Vs = 9.09967671983461m/s

LAST Step Rounding Answer

∴

Vs = 9.0997m/s

Flow Velocity in Suction Pipe Formula Elements

Variables

Constants

Functions

Flow Velocity in the Suction Pipe

Flow Velocity in the Suction Pipe is a measure of speed of the flow through a suction pipe.

Symbol: Vs

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Flow Velocity in the Suction Pipe

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

Note: Value should be greater than 0.

Formulas to find Depth of the Suction Pipe Entrance

Specific Weight of Water

Specific Weight of Water is the weight per unit volume of water.

Symbol: y_w

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Specific Weight of Water

Specific Weight of the Mixture

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.

Symbol: γ_m

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Specific Weight of the Mixture

Depth of Submergence of the Pump

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.

Symbol: Z_p

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth of Submergence of the Pump

Fetch Length

Fetch Length is the unobstructed distance that wind can travel over water in a constant direction.

Symbol: F_l

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Fetch Length

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

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.

Syntax: sqrt(Number)

Other formulas in Plain Suction Dredge category

Go Hydraulic Loss Coefficient from Suction Pipe Entrance to Pump

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

Go Vacuum at Pump Entrance Expressed as Head of Water

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

How to Evaluate Flow Velocity in Suction Pipe?

Flow Velocity in Suction Pipe evaluator 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 evaluate 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 evaluate Flow Velocity in Suction Pipe using this online evaluator? To use this online evaluator 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.

FAQs on Flow Velocity in Suction Pipe

What is the formula to find Flow Velocity in Suction Pipe?

The formula of Flow Velocity in Suction Pipe is expressed as 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). Here is an example- 9.099677 = sqrt((((2.1+6)*9807/10000)-6+6.5)*(2*[g])/2).

How to calculate Flow Velocity in Suction Pipe?

With 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) we can find Flow Velocity in Suction Pipe using the formula - 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). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root Function function(s).

Can the Flow Velocity in Suction Pipe be negative?

No, the Flow Velocity in Suction Pipe, measured in Speed cannot be negative.

Which unit is used to measure Flow Velocity in Suction Pipe?

Flow Velocity in Suction Pipe is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Flow Velocity in Suction Pipe can be measured.

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Flow Velocity in Suction Pipe Formula

Flow Velocity in Suction Pipe Example

Flow Velocity in Suction Pipe Solution

Flow Velocity in Suction Pipe Formula Elements

Other formulas in Plain Suction Dredge category

How to Evaluate Flow Velocity in Suction Pipe?

FAQs on Flow Velocity in Suction Pipe

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