Loss of Head due to Obstruction in Pipe Calculator

✖Flow Velocity through Pipe is the velocity of the flow of any fluid from the pipe.ⓘ Flow Velocity through Pipe [V_f]			+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%

✖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]

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Loss of Head due to Obstruction in Pipe Solution

STEP 0: Pre-Calculation Summary

Formula Used

Loss of Head Due to Obstruction in Pipe = Flow Velocity through Pipe^2/(2*[g])*(Cross Sectional Area of Pipe/(Coefficient of Contraction in Pipe*(Cross Sectional Area of Pipe-Maximum Area of Obstruction))-1)^2
H_o = V_f^2/(2*[g])*(A/(C_c*(A-A'))-1)^2
This formula uses 1 Constants, 5 Variables

Constants Used

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

Variables Used

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.
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.
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

Flow Velocity through Pipe: 12.5 Meter per Second --> 12.5 Meter per Second 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

H_o = V_f^2/(2*[g])*(A/(C_c*(A-A'))-1)^2 --> 12.5^2/(2*[g])*(0.0113/(0.6*(0.0113-0.0017))-1)^2

Evaluating ... ...

H_o = 7.36960001868575

STEP 3: Convert Result to Output's Unit

7.36960001868575 Meter --> No Conversion Required

FINAL ANSWER

7.36960001868575 ≈ 7.3696 Meter <-- Loss of Head Due to Obstruction in Pipe

(Calculation completed in 00.008 seconds)

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Loss of Head due to Obstruction in Pipe Formula

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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 Loss of Head due to Obstruction in Pipe?

Loss of Head due to Obstruction in Pipe calculator uses Loss of Head Due to Obstruction in Pipe = Flow Velocity through Pipe^2/(2*[g])*(Cross Sectional Area of Pipe/(Coefficient of Contraction in Pipe*(Cross Sectional Area of Pipe-Maximum Area of Obstruction))-1)^2 to calculate the Loss of Head Due to Obstruction in Pipe, The Loss of Head due to Obstruction in Pipe formula is known while considering the velocity of liquid in the pipe, coefficient of contraction, area of the pipe, and the maximum area of the obstruction. Loss of Head Due to Obstruction in Pipe is denoted by H_o symbol.

How to calculate Loss of Head due to Obstruction in Pipe using this online calculator? To use this online calculator for Loss of Head due to Obstruction in Pipe, enter Flow Velocity through Pipe (V_f), 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 Loss of Head due to Obstruction in Pipe calculation can be explained with given input values -> 7.3696 = 12.5^2/(2*[g])*(0.0113/(0.6*(0.0113-0.0017))-1)^2.

FAQ

What is Loss of Head due to Obstruction in Pipe?

The Loss of Head due to Obstruction in Pipe formula is known while considering the velocity of liquid in the pipe, coefficient of contraction, area of the pipe, and the maximum area of the obstruction and is represented as H_o = V_f^2/(2*[g])*(A/(C_c*(A-A'))-1)^2 or Loss of Head Due to Obstruction in Pipe = Flow Velocity through Pipe^2/(2*[g])*(Cross Sectional Area of Pipe/(Coefficient of Contraction in Pipe*(Cross Sectional Area of Pipe-Maximum Area of Obstruction))-1)^2. Flow Velocity through Pipe is the velocity of the flow of any fluid from 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 Loss of Head due to Obstruction in Pipe?

The Loss of Head due to Obstruction in Pipe formula is known while considering the velocity of liquid in the pipe, coefficient of contraction, area of the pipe, and the maximum area of the obstruction is calculated using Loss of Head Due to Obstruction in Pipe = Flow Velocity through Pipe^2/(2*[g])*(Cross Sectional Area of Pipe/(Coefficient of Contraction in Pipe*(Cross Sectional Area of Pipe-Maximum Area of Obstruction))-1)^2. To calculate Loss of Head due to Obstruction in Pipe, you need Flow Velocity through Pipe (V_f), 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 Flow Velocity through 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.

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