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Velocity of liquid at vena-contracta Formula

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The Velocity of liquid vena contracta is considered due to the sudden enlargement from vena-contracta at section 2-2. Check FAQs

V c = \frac{A \cdot V f}{C c \cdot (A - A')}

V_c - Velocity of Liquid Vena Contracta?A - Cross Sectional Area of Pipe?V_f - Flow Velocity through Pipe?C_c - Coefficient of Contraction in Pipe?A' - Maximum Area of Obstruction?

Velocity of liquid at vena-contracta Example

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Here is how the Velocity of liquid at vena-contracta equation looks like with Values.

Here is how the Velocity of liquid at vena-contracta equation looks like with Units.

Here is how the Velocity of liquid at vena-contracta equation looks like.

24.5226 = \frac{0.0113 \cdot 12.5}{0.6 \cdot (0.0113 - 0.0017)}

24.5226m/s = \frac{0.0113m² \cdot 12.5m/s}{0.6 \cdot (0.0113m² - 0.0017m)}

24.5226 = \frac{0.0113 \cdot 12.5}{0.6 \cdot (0.0113 - 0.0017)}

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Velocity of liquid at vena-contracta Solution

Follow our step by step solution on how to calculate Velocity of liquid at vena-contracta?

FIRST Step Consider the formula

V c = \frac{A \cdot V f}{C c \cdot (A - A')}

Next Step Substitute values of Variables

∴

V c = \frac{0.0113m² \cdot 12.5m/s}{0.6 \cdot (0.0113m² - 0.0017m)}

Next Step Prepare to Evaluate

∴

V c = \frac{0.0113 \cdot 12.5}{0.6 \cdot (0.0113 - 0.0017)}

Next Step Evaluate

∴

V c = 24.5225694444444m/s

LAST Step Rounding Answer

∴

V c = 24.5226m/s

Velocity of liquid at vena-contracta Formula Elements

Variables

Velocity of Liquid Vena Contracta

The Velocity of liquid vena contracta is considered due to the sudden enlargement from vena-contracta at section 2-2.

Symbol: V_c

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity of Liquid Vena Contracta

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

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

Coefficient of Contraction in Pipe

Coefficient of contraction in pipe is defined as the ratio between the area of the jet at the vena contracta and the area of the orifice.

Symbol: C_c

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Coefficient of Contraction in Pipe

Maximum Area of Obstruction

The Maximum Area of Obstruction is considered as the area occupied by the obstruction particle inside a pipe with liquid flow in it.

Symbol: A'

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Maximum Area of Obstruction

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]}

Go Velocity at section 2-2 for sudden contraction

V 2' = \frac{\sqrt{h c \cdot 2 \cdot [g]}}{(\frac{1}{C c}) - 1}

Go Velocity of fluid in pipe for head loss at entrance of pipe

v = \sqrt{\frac{h i \cdot 2 \cdot [g]}{0.5}}

How to Evaluate Velocity of liquid at vena-contracta?

Velocity of liquid at vena-contracta evaluator uses Velocity of Liquid Vena Contracta = (Cross Sectional Area of Pipe*Flow Velocity through Pipe)/(Coefficient of Contraction in Pipe*(Cross Sectional Area of Pipe-Maximum Area of Obstruction)) to evaluate the Velocity of Liquid Vena Contracta, The Velocity of liquid at vena-contracta formula is known while considering the area of the pipe and maximum area of obstruction in the pipe, coefficient of contraction, and the velocity of the fluid in the pipe. Velocity of Liquid Vena Contracta is denoted by V_c symbol.

How to evaluate Velocity of liquid at vena-contracta using this online evaluator? To use this online evaluator for Velocity of liquid at vena-contracta, enter Cross Sectional Area of Pipe (A), Flow Velocity through Pipe (V_f), Coefficient of Contraction in Pipe (C_c) & Maximum Area of Obstruction (A') and hit the calculate button.

FAQs on Velocity of liquid at vena-contracta

What is the formula to find Velocity of liquid at vena-contracta?

The formula of Velocity of liquid at vena-contracta is expressed as Velocity of Liquid Vena Contracta = (Cross Sectional Area of Pipe*Flow Velocity through Pipe)/(Coefficient of Contraction in Pipe*(Cross Sectional Area of Pipe-Maximum Area of Obstruction)). Here is an example- 24.52257 = (0.0113*12.5)/(0.6*(0.0113-0.0017)).

How to calculate Velocity of liquid at vena-contracta?

With Cross Sectional Area of Pipe (A), Flow Velocity through Pipe (V_f), Coefficient of Contraction in Pipe (C_c) & Maximum Area of Obstruction (A') we can find Velocity of liquid at vena-contracta using the formula - Velocity of Liquid Vena Contracta = (Cross Sectional Area of Pipe*Flow Velocity through Pipe)/(Coefficient of Contraction in Pipe*(Cross Sectional Area of Pipe-Maximum Area of Obstruction)).

Can the Velocity of liquid at vena-contracta be negative?

No, the Velocity of liquid at vena-contracta, measured in Speed cannot be negative.

Which unit is used to measure Velocity of liquid at vena-contracta?

Velocity of liquid at vena-contracta 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 liquid at vena-contracta can be measured.

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Velocity of liquid at vena-contracta Formula

Velocity of liquid at vena-contracta Example

Velocity of liquid at vena-contracta Solution

Velocity of liquid at vena-contracta Formula Elements

Other formulas in Flow Regime category

How to Evaluate Velocity of liquid at vena-contracta?

FAQs on Velocity of liquid at vena-contracta

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