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Velocity of Flow at Outlet of Nozzle Formula

GoVelocity of Fluid for Head Loss due to Obstruction in Pipe Formula

GoVelocity of Flow at outlet of Nozzle for Efficiency and Head Formula

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Flow Velocity through Pipe is the velocity of the flow of any fluid from the pipe. Check FAQs

V f = \sqrt{2 \cdot [g] \cdot \frac{H bn}{1 + (4 \cdot μ \cdot L \cdot \frac{{a 2}^{2}}{D \cdot (A^{2})})}}

V_f - Flow Velocity through Pipe?H_bn - Head at Base of Nozzle?μ - Coefficient of Friction of Pipe?L - Length of Pipe?a₂ - Nozzle Area at Outlet?D - Diameter of Pipe?A - Cross Sectional Area of Pipe?[g] - Gravitational acceleration on Earth?

Velocity of Flow at Outlet of Nozzle Example

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Here is how the Velocity of Flow at Outlet of Nozzle equation looks like with Values.

Here is how the Velocity of Flow at Outlet of Nozzle equation looks like with Units.

Here is how the Velocity of Flow at Outlet of Nozzle equation looks like.

19.3447 = \sqrt{2 \cdot 9.8066 \cdot \frac{28.5}{1 + (4 \cdot 0.01 \cdot 1200 \cdot \frac{{0.0004}^{2}}{0.12 \cdot ({0.0113}^{2})})}}

19.3447m/s = \sqrt{2 \cdot 9.8066m/s² \cdot \frac{28.5m}{1 + (4 \cdot 0.01 \cdot 1200m \cdot \frac{{0.0004m²}^{2}}{0.12m \cdot ({0.0113m²}^{2})})}}

19.3447 = \sqrt{2 \cdot 9.8066 \cdot \frac{28.5}{1 + (4 \cdot 0.01 \cdot 1200 \cdot \frac{{0.0004}^{2}}{0.12 \cdot ({0.0113}^{2})})}}

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Velocity of Flow at Outlet of Nozzle Solution

Follow our step by step solution on how to calculate Velocity of Flow at Outlet of Nozzle?

FIRST Step Consider the formula

V f = \sqrt{2 \cdot [g] \cdot \frac{H bn}{1 + (4 \cdot μ \cdot L \cdot \frac{{a 2}^{2}}{D \cdot (A^{2})})}}

Next Step Substitute values of Variables

∴

V f = \sqrt{2 \cdot [g] \cdot \frac{28.5m}{1 + (4 \cdot 0.01 \cdot 1200m \cdot \frac{{0.0004m²}^{2}}{0.12m \cdot ({0.0113m²}^{2})})}}

Next Step Substitute values of Constants

∴

V f = \sqrt{2 \cdot 9.8066m/s² \cdot \frac{28.5m}{1 + (4 \cdot 0.01 \cdot 1200m \cdot \frac{{0.0004m²}^{2}}{0.12m \cdot ({0.0113m²}^{2})})}}

Next Step Prepare to Evaluate

∴

V f = \sqrt{2 \cdot 9.8066 \cdot \frac{28.5}{1 + (4 \cdot 0.01 \cdot 1200 \cdot \frac{{0.0004}^{2}}{0.12 \cdot ({0.0113}^{2})})}}

Next Step Evaluate

∴

V f = 19.3447270428762m/s

LAST Step Rounding Answer

∴

V f = 19.3447m/s

Velocity of Flow at Outlet of Nozzle Formula Elements

Variables

Constants

Functions

Flow Velocity through Pipe

Flow Velocity through Pipe is the velocity of the flow of any fluid from the pipe.

Symbol: V_f

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Flow Velocity through Pipe

Head at Base of Nozzle

Head at base of nozzle is the head of the flowing liquid at the base of the nozzle or at end of the pipe.

Symbol: H_bn

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Head at Base of Nozzle

Coefficient of Friction of Pipe

Coefficient of Friction of Pipe is the measure of the amount of friction existing between the pipe surface and the flowing liquid.

Symbol: μ

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Coefficient of Friction of Pipe

Length of Pipe

Length of Pipe describes the length of the pipe in which the liquid is flowing.

Symbol: L

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Pipe

Nozzle Area at Outlet

The Nozzle Area at Outlet is the cross section area of the nozzle outlet (tube of varying cross-sectional area aiming at increasing the speed of an outflow).

Symbol: a₂

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Nozzle Area at Outlet

Diameter of Pipe

Diameter of Pipe is the length of the longest chord of the pipe in which the liquid is flowing.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Pipe

Cross Sectional Area of Pipe

Cross Sectional Area of Pipe is the area of a two-dimensional shape that is obtained when a pipe is sliced perpendicular to some specified axis at a point.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross Sectional Area of Pipe

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 to find Flow Velocity through Pipe

Go Velocity of Fluid for Head Loss due to Obstruction in Pipe

V f = \frac{\sqrt{H o \cdot 2 \cdot [g]}}{(\frac{A}{C c \cdot (A - A')}) - 1}

Go Velocity of Flow at outlet of Nozzle for Efficiency and Head

V f = \sqrt{η n \cdot 2 \cdot [g] \cdot H bn}

Other formulas in Flow Regime category

Go Velocity at section 1-1 for sudden enlargement

V 1' = V 2' + \sqrt{h e \cdot 2 \cdot [g]}

Go Velocity at section 2-2 for sudden enlargement

V 2' = V 1' - \sqrt{h e \cdot 2 \cdot [g]}

How to Evaluate Velocity of Flow at Outlet of Nozzle?

Velocity of Flow at Outlet of Nozzle evaluator uses Flow Velocity through Pipe = sqrt(2*[g]*Head at Base of Nozzle/(1+(4*Coefficient of Friction of Pipe*Length of Pipe*(Nozzle Area at Outlet^2)/(Diameter of Pipe*(Cross Sectional Area of Pipe^2))))) to evaluate the Flow Velocity through Pipe, The Velocity of flow at outlet of nozzle formula is known while considering the length, diameter, total head at the inlet of pipe, area of pipe, area of the nozzle at outlet and coefficient of friction. Flow Velocity through Pipe is denoted by V_f symbol.

How to evaluate Velocity of Flow at Outlet of Nozzle using this online evaluator? To use this online evaluator for Velocity of Flow at Outlet of Nozzle, enter Head at Base of Nozzle (H_bn), Coefficient of Friction of Pipe (μ), Length of Pipe (L), Nozzle Area at Outlet (a₂), Diameter of Pipe (D) & Cross Sectional Area of Pipe (A) and hit the calculate button.

FAQs on Velocity of Flow at Outlet of Nozzle

What is the formula to find Velocity of Flow at Outlet of Nozzle?

The formula of Velocity of Flow at Outlet of Nozzle is expressed as Flow Velocity through Pipe = sqrt(2*[g]*Head at Base of Nozzle/(1+(4*Coefficient of Friction of Pipe*Length of Pipe*(Nozzle Area at Outlet^2)/(Diameter of Pipe*(Cross Sectional Area of Pipe^2))))). Here is an example- 19.34473 = sqrt(2*[g]*28.5/(1+(4*0.01*1200*(0.000397^2)/(0.12*(0.0113^2))))).

How to calculate Velocity of Flow at Outlet of Nozzle?

With Head at Base of Nozzle (H_bn), Coefficient of Friction of Pipe (μ), Length of Pipe (L), Nozzle Area at Outlet (a₂), Diameter of Pipe (D) & Cross Sectional Area of Pipe (A) we can find Velocity of Flow at Outlet of Nozzle using the formula - Flow Velocity through Pipe = sqrt(2*[g]*Head at Base of Nozzle/(1+(4*Coefficient of Friction of Pipe*Length of Pipe*(Nozzle Area at Outlet^2)/(Diameter of Pipe*(Cross Sectional Area of Pipe^2))))). This formula also uses Gravitational acceleration on Earth constant(s) and Square Root (sqrt) function(s).

What are the other ways to Calculate Flow Velocity through Pipe?

Here are the different ways to Calculate Flow Velocity through Pipe-

Flow Velocity through Pipe=(sqrt(Loss of Head Due to Obstruction in Pipe*2*[g]))/((Cross Sectional Area of Pipe/(Coefficient of Contraction in Pipe*(Cross Sectional Area of Pipe-Maximum Area of Obstruction)))-1)
Flow Velocity through Pipe=sqrt(Efficiency for Nozzle*2*[g]*Head at Base of Nozzle)

Can the Velocity of Flow at Outlet of Nozzle be negative?

Yes, the Velocity of Flow at Outlet of Nozzle, measured in Speed can be negative.

Which unit is used to measure Velocity of Flow at Outlet of Nozzle?

Velocity of Flow at Outlet of Nozzle 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 Velocity of Flow at Outlet of Nozzle can be measured.

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Velocity of Flow at Outlet of Nozzle Formula

​GoVelocity of Fluid for Head Loss due to Obstruction in Pipe Formula

​GoVelocity of Flow at outlet of Nozzle for Efficiency and Head Formula

Velocity of Flow at Outlet of Nozzle Example

Velocity of Flow at Outlet of Nozzle Solution

Velocity of Flow at Outlet of Nozzle Formula Elements

Other Formulas to find Flow Velocity through Pipe

Other formulas in Flow Regime category

How to Evaluate Velocity of Flow at Outlet of Nozzle?

FAQs on Velocity of Flow at Outlet of Nozzle

Variable Name

GoVelocity of Fluid for Head Loss due to Obstruction in Pipe Formula

GoVelocity of Flow at outlet of Nozzle for Efficiency and Head Formula