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

✖Loss of head due to obstruction in pipe refers to a measurement of the energy dissipated in a pipe due to obstruction in the pipe.ⓘ Loss of Head Due to Obstruction in Pipe [H_o]			+10% -10%
✖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%
✖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%

✖Flow Velocity through Pipe is the velocity of the flow of any fluid from the pipe.ⓘ Velocity of Fluid for Head Loss due to Obstruction in Pipe [V_f]

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
V_f = (sqrt(H_o*2*[g]))/((A/(C_c*(A-A')))-1)
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Functions Used

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., sqrt(Number)

Variables Used

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.
Loss of Head Due to Obstruction in Pipe - (Measured in Meter) - Loss of head due to obstruction in pipe refers to a measurement of the energy dissipated in a pipe due to obstruction in the pipe.
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.
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

Loss of Head Due to Obstruction in Pipe: 7.36 Meter --> 7.36 Meter No Conversion Required
Cross Sectional Area of Pipe: 0.0113 Square Meter --> 0.0113 Square Meter 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_f = (sqrt(H_o*2*[g]))/((A/(C_c*(A-A')))-1) --> (sqrt(7.36*2*[g]))/((0.0113/(0.6*(0.0113-0.0017)))-1)

Evaluating ... ...

V_f = 12.4918557765445

STEP 3: Convert Result to Output's Unit

12.4918557765445 Meter per Second --> No Conversion Required

FINAL ANSWER

12.4918557765445 ≈ 12.49186 Meter per Second <-- Flow Velocity through Pipe

(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 Fluid for Head Loss due to Obstruction in Pipe 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 Fluid for Head Loss due to Obstruction in Pipe?

Velocity of Fluid for Head Loss due to Obstruction in Pipe calculator uses 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) to calculate the Flow Velocity through Pipe, The Velocity of fluid for head loss due to obstruction in pipe formula is known while considering the head loss, coefficient of contraction, area of the pipe, and the maximum area of the obstruction. Flow Velocity through Pipe is denoted by V_f symbol.

How to calculate Velocity of Fluid for Head Loss due to Obstruction in Pipe using this online calculator? To use this online calculator for Velocity of Fluid for Head Loss due to Obstruction in Pipe, enter Loss of Head Due to Obstruction in Pipe (H_o), Cross Sectional Area of Pipe (A), Coefficient of Contraction in Pipe (C_c) & Maximum Area of Obstruction (A') and hit the calculate button. Here is how the Velocity of Fluid for Head Loss due to Obstruction in Pipe calculation can be explained with given input values -> 12.49186 = (sqrt(7.36*2*[g]))/((0.0113/(0.6*(0.0113-0.0017)))-1).

FAQ

What is Velocity of Fluid for Head Loss due to Obstruction in Pipe?

The Velocity of fluid for head loss due to obstruction in pipe formula is known while considering the head loss, coefficient of contraction, area of the pipe, and the maximum area of the obstruction and is represented as V_f = (sqrt(H_o*2*[g]))/((A/(C_c*(A-A')))-1) or 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). Loss of head due to obstruction in pipe refers to a measurement of the energy dissipated in a pipe due to obstruction in the 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, 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 Fluid for Head Loss due to Obstruction in Pipe?

The Velocity of fluid for head loss due to obstruction in pipe formula is known while considering the head loss, coefficient of contraction, area of the pipe, and the maximum area of the obstruction is calculated using 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). To calculate Velocity of Fluid for Head Loss due to Obstruction in Pipe, you need Loss of Head Due to Obstruction in Pipe (H_o), Cross Sectional Area of Pipe (A), Coefficient of Contraction in Pipe (C_c) & Maximum Area of Obstruction (A'). With our tool, you need to enter the respective value for Loss of Head Due to Obstruction in Pipe, Cross Sectional Area of 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.

How many ways are there to calculate Flow Velocity through Pipe?

In this formula, Flow Velocity through Pipe uses Loss of Head Due to Obstruction in Pipe, Cross Sectional Area of Pipe, Coefficient of Contraction in Pipe & Maximum Area of Obstruction. We can use 2 other way(s) to calculate the same, which is/are as follows -

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)))))
Flow Velocity through Pipe = sqrt(Efficiency for Nozzle*2*[g]*Head at Base of Nozzle)

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