Velocity of liquid at vena-contracta Calculator

✖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.ⓘ Cross Sectional Area of Pipe [A]			+10% -10%
✖Flow Velocity through Pipe is the velocity of the flow of any fluid from the pipe.ⓘ Flow Velocity through Pipe [V_f]			+10% -10%
✖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.ⓘ Coefficient of Contraction in Pipe [C_c]			+10% -10%
✖The Maximum Area of Obstruction is considered as the area occupied by the obstruction particle inside a pipe with liquid flow in it.ⓘ Maximum Area of Obstruction [A']			+10% -10%

✖The Velocity of liquid vena contracta is considered due to the sudden enlargement from vena-contracta at section 2-2.ⓘ Velocity of liquid at vena-contracta [V_c]

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Velocity of liquid at vena-contracta Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
V_c = (A*V_f)/(C_c*(A-A'))
This formula uses 5 Variables

Variables Used

Velocity of Liquid Vena Contracta - (Measured in Meter per Second) - The Velocity of liquid vena contracta is considered due to the sudden enlargement from vena-contracta at section 2-2.
Cross Sectional Area of Pipe - (Measured in Square Meter) - 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.
Flow Velocity through Pipe - (Measured in Meter per Second) - Flow Velocity through Pipe is the velocity of the flow of any fluid from the 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.
Maximum Area of Obstruction - (Measured in Meter) - The Maximum Area of Obstruction is considered as the area occupied by the obstruction particle inside a pipe with liquid flow in it.

STEP 1: Convert Input(s) to Base Unit

Cross Sectional Area of Pipe: 0.0113 Square Meter --> 0.0113 Square Meter No Conversion Required
Flow Velocity through Pipe: 12.5 Meter per Second --> 12.5 Meter per Second No Conversion Required
Coefficient of Contraction in Pipe: 0.6 --> No Conversion Required
Maximum Area of Obstruction: 0.0017 Meter --> 0.0017 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_c = (A*V_f)/(C_c*(A-A')) --> (0.0113*12.5)/(0.6*(0.0113-0.0017))

Evaluating ... ...

V_c = 24.5225694444444

STEP 3: Convert Result to Output's Unit

24.5225694444444 Meter per Second --> No Conversion Required

FINAL ANSWER

24.5225694444444 ≈ 24.52257 Meter per Second <-- Velocity of Liquid Vena Contracta

(Calculation completed in 00.020 seconds)

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< Flow Regime Calculators

Velocity at section 2-2 for sudden contraction

LaTeX Go Velocity of Fluid at Section 2 = (sqrt(Loss of Head Sudden Contraction*2*[g]))/((1/Coefficient of Contraction in Pipe)-1)

Velocity at section 1-1 for sudden enlargement

LaTeX Go Velocity of Fluid at Section 1 = Velocity of Fluid at Section 2+sqrt(Loss of Head Sudden Enlargement*2*[g])

Velocity at section 2-2 for sudden enlargement

LaTeX Go Velocity of Fluid at Section 2 = Velocity of Fluid at Section 1-sqrt(Loss of Head Sudden Enlargement*2*[g])

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

LaTeX Go Velocity = sqrt((Head Loss at Pipe Entrance*2*[g])/0.5)

Velocity of liquid at vena-contracta Formula

LaTeX Go

What is the effect of having an obstruction in a pipe?

The particle which occupies a certain amount of space or area in a pipe tends to distract the flow velocity of the fluid flowing through the pipe and intern causes energy loss. The head loss due to obstruction is equal to the loss of head due to the expansion from vena-contracta to section 2-2.

What is vena-contracta?

Vena contracta is the point in a fluid stream where the diameter of the stream is the least, and fluid velocity is at its maximum, such as in the case of a stream issuing out of a nozzle. It is a place where the cross-section area is minimum.

How to Calculate Velocity of liquid at vena-contracta?

Velocity of liquid at vena-contracta calculator 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 calculate 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 calculate Velocity of liquid at vena-contracta using this online calculator? To use this online calculator 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. Here is how the Velocity of liquid at vena-contracta calculation can be explained with given input values -> 24.52257 = (0.0113*12.5)/(0.6*(0.0113-0.0017)).

FAQ

What is Velocity of liquid at 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 and is represented as V_c = (A*V_f)/(C_c*(A-A')) or 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)). 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, Flow Velocity through Pipe is the velocity of the flow of any fluid from the 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 & The Maximum Area of Obstruction is considered as the area occupied by the obstruction particle inside a pipe with liquid flow in it.

How to calculate Velocity of liquid at 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 is calculated using 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 calculate Velocity of liquid at vena-contracta, you need Cross Sectional Area of Pipe (A), Flow Velocity through Pipe (V_f), Coefficient of Contraction in Pipe (C_c) & Maximum Area of Obstruction (A'). With our tool, you need to enter the respective value for Cross Sectional Area of Pipe, Flow Velocity through Pipe, Coefficient of Contraction in Pipe & Maximum Area of Obstruction 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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