Maximum Area of Obstruction in Pipe 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 Velocity of liquid vena contracta is considered due to the sudden enlargement from vena-contracta at section 2-2.ⓘ Velocity of Liquid Vena Contracta [V_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 in Pipe [A']

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Formula

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Maximum Area of Obstruction in Pipe

Formula

`"A'" = "A"-(("A"*"V"_{"f"})/("C"_{"c"}*"V"_{"c"}))`

Example

`"0.001691m"="0.0113m²"-(("0.0113m²"*"12.5m/s")/("0.6"*"24.5m/s"))`

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Download Properties of Surfaces and Solids Formula PDF

Maximum Area of Obstruction in Pipe Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Area of Obstruction = Cross Sectional Area of Pipe-((Cross Sectional Area of Pipe*Flow Velocity through Pipe)/(Coefficient of Contraction in Pipe*Velocity of Liquid Vena Contracta))
A' = A-((A*V_f)/(C_c*V_c))
This formula uses 5 Variables

Variables Used

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.
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.
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.

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
Velocity of Liquid Vena Contracta: 24.5 Meter per Second --> 24.5 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A' = A-((A*V_f)/(C_c*V_c)) --> 0.0113-((0.0113*12.5)/(0.6*24.5))

Evaluating ... ...

A' = 0.00169115646258503

STEP 3: Convert Result to Output's Unit

0.00169115646258503 Meter --> No Conversion Required

FINAL ANSWER

0.00169115646258503 ≈ 0.001691 Meter <-- Maximum Area of Obstruction

(Calculation completed in 00.004 seconds)

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< 7 Geometric Property Calculators

Maximum Area of Obstruction in Pipe

Go Maximum Area of Obstruction = Cross Sectional Area of Pipe-((Cross Sectional Area of Pipe*Flow Velocity through Pipe)/(Coefficient of Contraction in Pipe*Velocity of Liquid Vena Contracta))

Diameter of Equivalent Pipe

Go Diameter of Equivalent Pipe = ((4*16*(Discharge through Pipe^2)*Coefficient of Friction of Pipe*Length of Pipe)/((pi^2)*2*Loss of Head in Equivalent Pipe*[g]))^(1/5)

Length of Equivalent Pipe

Go Length of Pipe = (Loss of Head in Equivalent Pipe*(pi^2)*2*(Diameter of Equivalent Pipe^5)*[g])/(4*16*(Discharge through Pipe^2)*Coefficient of Friction of Pipe)

Area of Nozzle at Outlet for Maximum Power Transmission through Nozzle

Go Nozzle Area at Outlet = Cross Sectional Area of Pipe/sqrt(8*Coefficient of Friction of Pipe*Length of Pipe/Diameter of Pipe)

Area of Pipe for Maximum Power Transmission through Nozzle

Go Cross Sectional Area of Pipe = Nozzle Area at Outlet*sqrt(8*Coefficient of Friction of Pipe*Length of Pipe/Diameter of Pipe)

Length of pipe for maximum power transmission through nozzle

Go Length of Pipe = ((Cross Sectional Area of Pipe/Nozzle Area at Outlet)^2)*Diameter of Pipe/(8*Coefficient of Friction of Pipe)

Diameter of nozzle for maximum power transmission through nozzle

Go Diameter of Nozzle = ((Diameter of Pipe^5)/(8*Coefficient of Friction of Pipe*Length of Pipe))^0.25

Maximum Area of Obstruction in Pipe Formula

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 Maximum Area of Obstruction in Pipe?

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

How to calculate Maximum Area of Obstruction in Pipe using this online calculator? To use this online calculator for Maximum Area of Obstruction in Pipe, enter Cross Sectional Area of Pipe (A), Flow Velocity through Pipe (V_f), Coefficient of Contraction in Pipe (C_c) & Velocity of Liquid Vena Contracta (V_c) and hit the calculate button. Here is how the Maximum Area of Obstruction in Pipe calculation can be explained with given input values -> -0.084788 = 0.0113-((0.0113*12.5)/(0.6*24.5)).

FAQ

What is Maximum Area of Obstruction in Pipe?

The Maximum area of obstruction in pipe formula is known while considering the area of the pipe, coefficient of contraction, the velocity of the liquid at vena-contracta, and the velocity of the fluid in the pipe and is represented as A' = A-((A*V_f)/(C_c*V_c)) or Maximum Area of Obstruction = Cross Sectional Area of Pipe-((Cross Sectional Area of Pipe*Flow Velocity through Pipe)/(Coefficient of Contraction in Pipe*Velocity of Liquid Vena Contracta)). 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 Velocity of liquid vena contracta is considered due to the sudden enlargement from vena-contracta at section 2-2.

How to calculate Maximum Area of Obstruction in Pipe?

The Maximum area of obstruction in pipe formula is known while considering the area of the pipe, coefficient of contraction, the velocity of the liquid at vena-contracta, and the velocity of the fluid in the pipe is calculated using Maximum Area of Obstruction = Cross Sectional Area of Pipe-((Cross Sectional Area of Pipe*Flow Velocity through Pipe)/(Coefficient of Contraction in Pipe*Velocity of Liquid Vena Contracta)). To calculate Maximum Area of Obstruction in Pipe, you need Cross Sectional Area of Pipe (A), Flow Velocity through Pipe (V_f), Coefficient of Contraction in Pipe (C_c) & Velocity of Liquid Vena Contracta (V_c). 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 & Velocity of Liquid Vena Contracta 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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